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2.23 Hydrofoils and Propellers (13.04) (MIT) 2.23 Hydrofoils and Propellers (13.04) (MIT)

Description

This course deals with theory and design of hydrofoil sections; lifting and thickness problems for sub-cavitating sections, unsteady flow problems. It focuses on computer-aided design of low drag, cavitation free sections. The course also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, and control surface design. Topics include propeller lifting line and lifting surface theory; computer-aided design of wake adapted propellers, unsteady propeller thrust and torque. The course is also an introduction to subjects like flow about axially symmetric bodies and low-aspect ratio lifting surfaces, and hydrodynamic performance and design of waterjets. We will also do an analysis of performance and design of wind turbine rotors in steady and stochastic win This course deals with theory and design of hydrofoil sections; lifting and thickness problems for sub-cavitating sections, unsteady flow problems. It focuses on computer-aided design of low drag, cavitation free sections. The course also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, and control surface design. Topics include propeller lifting line and lifting surface theory; computer-aided design of wake adapted propellers, unsteady propeller thrust and torque. The course is also an introduction to subjects like flow about axially symmetric bodies and low-aspect ratio lifting surfaces, and hydrodynamic performance and design of waterjets. We will also do an analysis of performance and design of wind turbine rotors in steady and stochastic win

Subjects

Theory and design of hydrofoil sections | Theory and design of hydrofoil sections | lifting and thickness problems | lifting and thickness problems | sub-cavitating sections | sub-cavitating sections | unsteady flow problems | unsteady flow problems | computer-aided design | computer-aided design | low drag | low drag | cavitation free sections | cavitation free sections | Lifting line and lifting surface theory | Lifting line and lifting surface theory | hydrofoil craft | hydrofoil craft | rudder | rudder | and control surface design | and control surface design | propeller lifting line | propeller lifting line | lifting surface theory | lifting surface theory | wake adapted propellers | wake adapted propellers | unsteady propeller thrust and torque | unsteady propeller thrust and torque | axially symmetric bodies | axially symmetric bodies | low-aspect ratio lifting surfaces | low-aspect ratio lifting surfaces | Hydrodynamic performance | Hydrodynamic performance | design of waterjets | design of waterjets | wind turbine rotors in steady and stochastic wind | wind turbine rotors in steady and stochastic wind | hydrofoil craft | rudder | and control surface design | hydrofoil craft | rudder | and control surface design | 9. low drag | cavitation free sections | 9. low drag | cavitation free sections | 5. hydrofoil craft | rudder | and control surface design | 5. hydrofoil craft | rudder | and control surface design | low drag | cavitation free sections | low drag | cavitation free sections

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13.04 Hydrofoils and Propellers (MIT) 13.04 Hydrofoils and Propellers (MIT)

Description

This course deals with theory and design of hydrofoil sections; lifting and thickness problems for sub-cavitating sections, unsteady flow problems. It focuses on computer-aided design of low drag, cavitation free sections. The course also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, and control surface design. Topics include propeller lifting line and lifting surface theory; computer-aided design of wake adapted propellers, unsteady propeller thrust and torque. The course is also an introduction to subjects like flow about axially symmetric bodies and low-aspect ratio lifting surfaces, and hydrodynamic performance and design of waterjets. We will also do an analysis of performance and design of wind turbine rotors in steady and stochastic win This course deals with theory and design of hydrofoil sections; lifting and thickness problems for sub-cavitating sections, unsteady flow problems. It focuses on computer-aided design of low drag, cavitation free sections. The course also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, and control surface design. Topics include propeller lifting line and lifting surface theory; computer-aided design of wake adapted propellers, unsteady propeller thrust and torque. The course is also an introduction to subjects like flow about axially symmetric bodies and low-aspect ratio lifting surfaces, and hydrodynamic performance and design of waterjets. We will also do an analysis of performance and design of wind turbine rotors in steady and stochastic win

Subjects

Theory and design of hydrofoil sections | Theory and design of hydrofoil sections | lifting and thickness problems | lifting and thickness problems | sub-cavitating sections | sub-cavitating sections | unsteady flow problems | unsteady flow problems | computer-aided design | computer-aided design | low drag | low drag | cavitation free sections | cavitation free sections | Lifting line and lifting surface theory | Lifting line and lifting surface theory | hydrofoil craft | hydrofoil craft | rudder | rudder | and control surface design | and control surface design | propeller lifting line | propeller lifting line | lifting surface theory | lifting surface theory | wake adapted propellers | wake adapted propellers | unsteady propeller thrust and torque | unsteady propeller thrust and torque | axially symmetric bodies | axially symmetric bodies | low-aspect ratio lifting surfaces | low-aspect ratio lifting surfaces | Hydrodynamic performance | Hydrodynamic performance | design of waterjets | design of waterjets | wind turbine rotors in steady and stochastic wind | wind turbine rotors in steady and stochastic wind | hydrofoil craft | rudder | and control surface design | hydrofoil craft | rudder | and control surface design | 9. low drag | cavitation free sections | 9. low drag | cavitation free sections | 5. hydrofoil craft | rudder | and control surface design | 5. hydrofoil craft | rudder | and control surface design | low drag | cavitation free sections | low drag | cavitation free sections | 2.23 | 2.23

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Happy 8th Birthday, Flickr Commons ! 6 days to go (LOC) Happy 8th Birthday, Flickr Commons ! 6 days to go (LOC)

Description

Subjects

boston | boston | bridges | bridges | trains | trains | amtrak | amtrak | fortpoint | fortpoint | libraryofcongress | libraryofcongress | bigdig | bigdig | 1904 | 1904 | boxcars | boxcars | channels | channels | southstation | southstation | railroads | railroads | fortpointchannel | fortpointchannel | streetscapes | streetscapes | thenandnow | thenandnow | thennow | thennow | railroadcars | railroadcars | suffolkcounty | suffolkcounty | bostonmassachusetts | bostonmassachusetts | newhavenrailroad | newhavenrailroad | grandtrunkrailway | grandtrunkrailway | liftbridges | liftbridges | bostonmainerailroad | bostonmainerailroad | massachusettsbaytransportationauthority | massachusettsbaytransportationauthority | oldcolonyrailroad | oldcolonyrailroad | detroitpublishingcompany | detroitpublishingcompany | towerbridges | towerbridges | rollingbridgepark | rollingbridgepark | newyorknewhavenhartfordrailroad | newyorknewhavenhartfordrailroad | oldcolonyrailroadbridge | oldcolonyrailroadbridge | pennsylvaniasteelcompany | pennsylvaniasteelcompany | fortpointchannelbridge | fortpointchannelbridge | bostonalbanyrailroad | bostonalbanyrailroad | 017090 | 017090 | newyorknewenglandrailroad | newyorknewenglandrailroad | rollingliftbridges | rollingliftbridges | bostonprovidencerailroad | bostonprovidencerailroad | bostonterminalcompany | bostonterminalcompany | happybirthdayflickrcommons | happybirthdayflickrcommons | fortpointchannelrollingliftbridge | fortpointchannelrollingliftbridge | scherzerrollingliftbridges | scherzerrollingliftbridges | thesixtrackscherzerrollingliftbridge | thesixtrackscherzerrollingliftbridge | williamscherzer | williamscherzer | suburbanloop | suburbanloop | newhavenrailroadsystem | newhavenrailroadsystem | southterminalstation | southterminalstation | holbrookcabotdaly | holbrookcabotdaly | southbaychannel | southbaychannel | maritimechannels | maritimechannels

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PE.720 Weight Training (MIT) PE.720 Weight Training (MIT)

Description

Includes audio/video content: AV special element video. This 12 session course is designed for the beginning or novice weight lifter, or for those who have experience lifting but lack proper instruction. We will provide an understanding of the biomechanics involved, muscles used for a given exercise, and program development. Includes audio/video content: AV special element video. This 12 session course is designed for the beginning or novice weight lifter, or for those who have experience lifting but lack proper instruction. We will provide an understanding of the biomechanics involved, muscles used for a given exercise, and program development.

Subjects

Exercise | Exercise | weight lifting | weight lifting | weight training | weight training | nutrition | nutrition | rest | rest | anabolic | anabolic | catabolic | catabolic | protein | protein | amino acids | amino acids | muscle groups | muscle groups | complex lifts | complex lifts | olympic lifts | olympic lifts | sets | sets | reps | reps | overtraining | overtraining | technique | technique | spotting | spotting | splits | splits | programs | programs

License

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2.23 Hydrofoils and Propellers (MIT) 2.23 Hydrofoils and Propellers (MIT)

Description

This course develops the theory and design of hydrofoil sections, including lifting and thickness problems for sub-cavitating sections, unsteady flow problems, and computer-aided design of low drag cavitation-free sections. It also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, control surface, propeller and wind turbine rotor design. Other topics include computer-aided design of wake adapted propellers; steady and unsteady propeller thrust and torque; performance analysis and design of wind turbine rotors in steady and stochastic wind; and numerical principles of vortex lattice and lifting surface panel methods. Projects illustrate the development of computational methods for lifting, propeller and wind turbine flows, and use of state-of-the-a This course develops the theory and design of hydrofoil sections, including lifting and thickness problems for sub-cavitating sections, unsteady flow problems, and computer-aided design of low drag cavitation-free sections. It also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, control surface, propeller and wind turbine rotor design. Other topics include computer-aided design of wake adapted propellers; steady and unsteady propeller thrust and torque; performance analysis and design of wind turbine rotors in steady and stochastic wind; and numerical principles of vortex lattice and lifting surface panel methods. Projects illustrate the development of computational methods for lifting, propeller and wind turbine flows, and use of state-of-the-a

Subjects

turbine | turbine | rotor | rotor | computer-aided design | computer-aided design | propulsion | propulsion | lifting line | lifting line | thrust | thrust | torque | torque | vortices | vortices | boundary layers | boundary layers | wake adaptation | wake adaptation | cavitation | cavitation | fluid flow | fluid flow | fluid dynamics | fluid dynamics | lifting surface panel method | lifting surface panel method | vortex lattice method | vortex lattice method | lifting flow | lifting flow

License

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Eclipse project QF-106 and C-141A takeoff on first tethered flight December 20, 1997 Eclipse project QF-106 and C-141A takeoff on first tethered flight December 20, 1997

Description

Subjects

armstrong | armstrong | afrc | afrc | nasaarmstrong | nasaarmstrong | aviationaerospacespaceflightnationalaeronauticsandspaceadministrationnasatowplaneeclipseprojectprojecteclipseaircraftairplaneaf612775612775lockheedlockheedc141starlifterlockheedc141lockheedstarlifterc141starlifterstarlif | aviationaerospacespaceflightnationalaeronauticsandspaceadministrationnasatowplaneeclipseprojectprojecteclipseaircraftairplaneaf612775612775lockheedlockheedc141starlifterlockheedc141lockheedstarlifterc141starlifterstarlif

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2.23 Hydrofoils and Propellers (13.04) (MIT)

Description

This course deals with theory and design of hydrofoil sections; lifting and thickness problems for sub-cavitating sections, unsteady flow problems. It focuses on computer-aided design of low drag, cavitation free sections. The course also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, and control surface design. Topics include propeller lifting line and lifting surface theory; computer-aided design of wake adapted propellers, unsteady propeller thrust and torque. The course is also an introduction to subjects like flow about axially symmetric bodies and low-aspect ratio lifting surfaces, and hydrodynamic performance and design of waterjets. We will also do an analysis of performance and design of wind turbine rotors in steady and stochastic win

Subjects

Theory and design of hydrofoil sections | lifting and thickness problems | sub-cavitating sections | unsteady flow problems | computer-aided design | low drag | cavitation free sections | Lifting line and lifting surface theory | hydrofoil craft | rudder | and control surface design | propeller lifting line | lifting surface theory | wake adapted propellers | unsteady propeller thrust and torque | axially symmetric bodies | low-aspect ratio lifting surfaces | Hydrodynamic performance | design of waterjets | wind turbine rotors in steady and stochastic wind | hydrofoil craft | rudder | and control surface design | 9. low drag | cavitation free sections | 5. hydrofoil craft | rudder | and control surface design | low drag | cavitation free sections

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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13.04 Hydrofoils and Propellers (MIT)

Description

This course deals with theory and design of hydrofoil sections; lifting and thickness problems for sub-cavitating sections, unsteady flow problems. It focuses on computer-aided design of low drag, cavitation free sections. The course also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, and control surface design. Topics include propeller lifting line and lifting surface theory; computer-aided design of wake adapted propellers, unsteady propeller thrust and torque. The course is also an introduction to subjects like flow about axially symmetric bodies and low-aspect ratio lifting surfaces, and hydrodynamic performance and design of waterjets. We will also do an analysis of performance and design of wind turbine rotors in steady and stochastic win

Subjects

Theory and design of hydrofoil sections | lifting and thickness problems | sub-cavitating sections | unsteady flow problems | computer-aided design | low drag | cavitation free sections | Lifting line and lifting surface theory | hydrofoil craft | rudder | and control surface design | propeller lifting line | lifting surface theory | wake adapted propellers | unsteady propeller thrust and torque | axially symmetric bodies | low-aspect ratio lifting surfaces | Hydrodynamic performance | design of waterjets | wind turbine rotors in steady and stochastic wind | hydrofoil craft | rudder | and control surface design | 9. low drag | cavitation free sections | 5. hydrofoil craft | rudder | and control surface design | low drag | cavitation free sections | 2.23

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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16.100 Aerodynamics (MIT) 16.100 Aerodynamics (MIT)

Description

This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem. Technical RequirementsFile decompression software, such as Winzip® or StuffIt®, is required to open the .tar files found on this course site. MATLAB&#1 This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem. Technical RequirementsFile decompression software, such as Winzip® or StuffIt®, is required to open the .tar files found on this course site. MATLAB&#1

Subjects

aerodynamics | aerodynamics | airflow | airflow | air | air | body | body | aircraft | aircraft | aerodynamic modes | aerodynamic modes | aero | aero | forces | forces | flow | flow | computational | computational | CFD | CFD | aerodynamic analysis | aerodynamic analysis | lift | lift | drag | drag | potential flows | potential flows | imcompressible | imcompressible | supersonic | supersonic | subsonic | subsonic | panel method | panel method | vortex lattice method | vortex lattice method | boudary layer | boudary layer | transition | transition | turbulence | turbulence | inviscid | inviscid | viscous | viscous | euler | euler | navier-stokes | navier-stokes | wind tunnel | wind tunnel | flow similarity | flow similarity | non-dimensional | non-dimensional | mach number | mach number | reynolds number | reynolds number | integral momentum | integral momentum | airfoil | airfoil | wing | wing | stall | stall | friction drag | friction drag | induced drag | induced drag | wave drag | wave drag | pressure drag | pressure drag | fluid element | fluid element | shear strain | shear strain | normal strain | normal strain | vorticity | vorticity | divergence | divergence | substantial derviative | substantial derviative | laminar | laminar | displacement thickness | displacement thickness | momentum thickness | momentum thickness | skin friction | skin friction | separation | separation | velocity profile | velocity profile | 2-d panel | 2-d panel | 3-d vortex | 3-d vortex | thin airfoil | thin airfoil | lifting line | lifting line | aspect ratio | aspect ratio | twist | twist | camber | camber | wing loading | wing loading | roll moments | roll moments | finite volume approximation | finite volume approximation | shocks | shocks | expansion fans | expansion fans | shock-expansion theory | shock-expansion theory | transonic | transonic | critical mach number | critical mach number | wing sweep | wing sweep | Kutta condition | Kutta condition | team project | team project | blended-wing-body | blended-wing-body | computational fluid dynamics | computational fluid dynamics | Incompressible | Incompressible

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12.163 Surface Processes and Landscape Evolution (MIT) 12.163 Surface Processes and Landscape Evolution (MIT)

Description

The course offers an introduction to quantitative analysis of geomorphic processes, and examines the interaction of climate, tectonics, and surface processes in the sculpting of Earth's surface. The course offers an introduction to quantitative analysis of geomorphic processes, and examines the interaction of climate, tectonics, and surface processes in the sculpting of Earth's surface.

Subjects

geomorphic processes | geomorphic processes | climate | climate | tectonics | tectonics | surface processes | surface processes | fluvial processes | fluvial processes | hillslope processes | hillslope processes | glacial processes | glacial processes | weathering | weathering | soil formation | soil formation | runoff | runoff | erosion | erosion | slope stability | slope stability | sediment transport | sediment transport | river morphology | river morphology | glacial erosion | glacial erosion | climatic forcings | climatic forcings | tectonic forcings | tectonic forcings | glaciation | glaciation | sea level change | sea level change | uplift | subsidence | uplift | subsidence | post-glacial isostatic rebound | post-glacial isostatic rebound | uplift | subsidence | uplift | subsidence

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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16.100 Aerodynamics (MIT) 16.100 Aerodynamics (MIT)

Description

This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem. This course extends fluid mechanic concepts from Unified Engineering to the aerodynamic performance of wings and bodies in sub/supersonic regimes. 16.100 generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Course material varies each year depending upon the focus of the design problem.

Subjects

aerodynamics | aerodynamics | airflow | airflow | air | air | body | body | aircraft | aircraft | aerodynamic modes | aerodynamic modes | aero | aero | forces | forces | flow | flow | computational | computational | CFD | CFD | aerodynamic analysis | aerodynamic analysis | lift | lift | drag | drag | potential flows | potential flows | imcompressible | imcompressible | supersonic | supersonic | subsonic | subsonic | panel method | panel method | vortex lattice method | vortex lattice method | boudary layer | boudary layer | transition | transition | turbulence | turbulence | inviscid | inviscid | viscous | viscous | euler | euler | navier-stokes | navier-stokes | wind tunnel | wind tunnel | flow similarity | flow similarity | non-dimensional | non-dimensional | mach number | mach number | reynolds number | reynolds number | integral momentum | integral momentum | airfoil | airfoil | wing | wing | stall | stall | friction drag | friction drag | induced drag | induced drag | wave drag | wave drag | pressure drag | pressure drag | fluid element | fluid element | shear strain | shear strain | normal strain | normal strain | vorticity | vorticity | divergence | divergence | substantial derivative | substantial derivative | laminar | laminar | displacement thickness | displacement thickness | momentum thickness | momentum thickness | skin friction | skin friction | separation | separation | velocity profile | velocity profile | 2-d panel | 2-d panel | 3-d vortex | 3-d vortex | thin airfoil | thin airfoil | lifting line | lifting line | aspect ratio | aspect ratio | twist | twist | camber | camber | wing loading | wing loading | roll moments | roll moments | finite volume approximation | finite volume approximation | shocks | shocks | expansion fans | expansion fans | shock-expansion theory | shock-expansion theory | transonic | transonic | critical mach number | critical mach number | wing sweep | wing sweep | Kutta condition | Kutta condition | team project | team project | blended-wing-body | blended-wing-body | computational fluid dynamics | computational fluid dynamics

License

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18.327 Wavelets, Filter Banks and Applications (MIT) 18.327 Wavelets, Filter Banks and Applications (MIT)

Description

Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications. Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications.

Subjects

Discrete-time filters | Discrete-time filters | convolution | convolution | Fourier transform | Fourier transform | owpass and highpass filters | owpass and highpass filters | Sampling rate change operations | Sampling rate change operations | upsampling and downsampling | upsampling and downsampling | ractional sampling | ractional sampling | interpolation | interpolation | Filter Banks | Filter Banks | time domain (Haar example) and frequency domain | time domain (Haar example) and frequency domain | conditions for alias cancellation and no distortion | conditions for alias cancellation and no distortion | perfect reconstruction | perfect reconstruction | halfband filters and possible factorizations | halfband filters and possible factorizations | Modulation and polyphase representations | Modulation and polyphase representations | Noble identities | Noble identities | block Toeplitz matrices and block z-transforms | block Toeplitz matrices and block z-transforms | polyphase examples | polyphase examples | Matlab wavelet toolbox | Matlab wavelet toolbox | Orthogonal filter banks | Orthogonal filter banks | paraunitary matrices | paraunitary matrices | orthogonality condition (Condition O) in the time domain | orthogonality condition (Condition O) in the time domain | modulation domain and polyphase domain | modulation domain and polyphase domain | Maxflat filters | Maxflat filters | Daubechies and Meyer formulas | Daubechies and Meyer formulas | Spectral factorization | Spectral factorization | Multiresolution Analysis (MRA) | Multiresolution Analysis (MRA) | requirements for MRA | requirements for MRA | nested spaces and complementary spaces; scaling functions and wavelets | nested spaces and complementary spaces; scaling functions and wavelets | Refinement equation | Refinement equation | iterative and recursive solution techniques | iterative and recursive solution techniques | infinite product formula | infinite product formula | filter bank approach for computing scaling functions and wavelets | filter bank approach for computing scaling functions and wavelets | Orthogonal wavelet bases | Orthogonal wavelet bases | connection to orthogonal filters | connection to orthogonal filters | orthogonality in the frequency domain | orthogonality in the frequency domain | Biorthogonal wavelet bases | Biorthogonal wavelet bases | Mallat pyramid algorithm | Mallat pyramid algorithm | Accuracy of wavelet approximations (Condition A) | Accuracy of wavelet approximations (Condition A) | vanishing moments | vanishing moments | polynomial cancellation in filter banks | polynomial cancellation in filter banks | Smoothness of wavelet bases | Smoothness of wavelet bases | convergence of the cascade algorithm (Condition E) | convergence of the cascade algorithm (Condition E) | splines | splines | Bases vs. frames | Bases vs. frames | Signal and image processing | Signal and image processing | finite length signals | finite length signals | boundary filters and boundary wavelets | boundary filters and boundary wavelets | wavelet compression algorithms | wavelet compression algorithms | Lifting | Lifting | ladder structure for filter banks | ladder structure for filter banks | factorization of polyphase matrix into lifting steps | factorization of polyphase matrix into lifting steps | lifting form of refinement equationSec | lifting form of refinement equationSec | Wavelets and subdivision | Wavelets and subdivision | nonuniform grids | nonuniform grids | multiresolution for triangular meshes | multiresolution for triangular meshes | representation and compression of surfaces | representation and compression of surfaces | Numerical solution of PDEs | Numerical solution of PDEs | Galerkin approximation | Galerkin approximation | wavelet integrals (projection coefficients | moments and connection coefficients) | wavelet integrals (projection coefficients | moments and connection coefficients) | convergence | convergence | Subdivision wavelets for integral equations | Subdivision wavelets for integral equations | Compression and convergence estimates | Compression and convergence estimates | M-band wavelets | M-band wavelets | DFT filter banks and cosine modulated filter banks | DFT filter banks and cosine modulated filter banks | Multiwavelets | Multiwavelets

License

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HL-10 in flight after launch

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Subjects

armstrong | afrc | nasaarmstrong | aviationaerospacespaceflightnationalaeronauticsandspaceadministrationnasaaircraftairplaneexperimentalflightliftingbodynorthropnorthrophl10liftingbodynorthrophl10hl10hl10liftingbodyreactionmotorsreactionmotorsxlr11xlr11

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2.23 Hydrofoils and Propellers (MIT)

Description

This course develops the theory and design of hydrofoil sections, including lifting and thickness problems for sub-cavitating sections, unsteady flow problems, and computer-aided design of low drag cavitation-free sections. It also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, control surface, propeller and wind turbine rotor design. Other topics include computer-aided design of wake adapted propellers; steady and unsteady propeller thrust and torque; performance analysis and design of wind turbine rotors in steady and stochastic wind; and numerical principles of vortex lattice and lifting surface panel methods. Projects illustrate the development of computational methods for lifting, propeller and wind turbine flows, and use of state-of-the-a

Subjects

turbine | rotor | computer-aided design | propulsion | lifting line | thrust | torque | vortices | boundary layers | wake adaptation | cavitation | fluid flow | fluid dynamics | lifting surface panel method | vortex lattice method | lifting flow

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PE.720 Weight Training (MIT)

Description

This 12 session course is designed for the beginning or novice weight lifter, or for those who have experience lifting but lack proper instruction. We will provide an understanding of the biomechanics involved, muscles used for a given exercise, and program development.

Subjects

Exercise | weight lifting | weight training | nutrition | rest | anabolic | catabolic | protein | amino acids | muscle groups | complex lifts | olympic lifts | sets | reps | overtraining | technique | spotting | splits | programs

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2.29 Numerical Fluid Mechanics (MIT) 2.29 Numerical Fluid Mechanics (MIT)

Description

This course introduces students to MATLAB®. Numerical methods include number representation and errors, interpolation, differentiation, integration, systems of linear equations, and Fourier interpolation and transforms. Students will study partial and ordinary differential equations as well as elliptic and parabolic differential equations, and solutions by numerical integration, finite difference methods, finite element methods, boundary element methods, and panel methods. This course introduces students to MATLAB®. Numerical methods include number representation and errors, interpolation, differentiation, integration, systems of linear equations, and Fourier interpolation and transforms. Students will study partial and ordinary differential equations as well as elliptic and parabolic differential equations, and solutions by numerical integration, finite difference methods, finite element methods, boundary element methods, and panel methods.

Subjects

numerical methods | numerical methods | interpolation | interpolation | integration | integration | systems of linear equations | systems of linear equations | differential equations | differential equations | numerical integration | numerical integration | partial differential equations of inviscid hydrodynamics | partial differential equations of inviscid hydrodynamics | finite difference methods | finite difference methods | boundary integral equation panel methods | boundary integral equation panel methods | numerical lifting surface computations | numerical lifting surface computations | Fast Fourier Transforms | Fast Fourier Transforms | Numerical representation | Numerical representation | deterministic and random sea waves | deterministic and random sea waves | Integral boundary layer equations | Integral boundary layer equations | numerical solutions | numerical solutions

License

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13.024 Numerical Marine Hydrodynamics (MIT) 13.024 Numerical Marine Hydrodynamics (MIT)

Description

This course is an introduction to numerical methods: interpolation, differentiation, integration, and systems of linear equations. It covers the solution of differential equations by numerical integration, as well as partial differential equations of inviscid hydrodynamics: finite difference methods, boundary integral equation panel methods. Also addressed are introductory numerical lifting surface computations, fast Fourier transforms, the numerical representation of deterministic and random sea waves, as well as integral boundary layer equations and numerical solutions.Technical RequirementMATLAB® software is required to run the .m files found on this course site. The .FIN and .OUT are simply data offest tables. They can be viewed with any text reader. RealOne™ This course is an introduction to numerical methods: interpolation, differentiation, integration, and systems of linear equations. It covers the solution of differential equations by numerical integration, as well as partial differential equations of inviscid hydrodynamics: finite difference methods, boundary integral equation panel methods. Also addressed are introductory numerical lifting surface computations, fast Fourier transforms, the numerical representation of deterministic and random sea waves, as well as integral boundary layer equations and numerical solutions.Technical RequirementMATLAB® software is required to run the .m files found on this course site. The .FIN and .OUT are simply data offest tables. They can be viewed with any text reader. RealOne™

Subjects

numerical methods | numerical methods | interpolation | interpolation | differentiation | differentiation | integration | integration | systems of linear equations | systems of linear equations | differential equations | differential equations | numerical integration | numerical integration | partial differential | partial differential | boundary integral equation panel methods | boundary integral equation panel methods | deterministic and random sea waves | deterministic and random sea waves | Fast Fourier Transforms | Fast Fourier Transforms | finite difference methods | finite difference methods | Integral boundary layer equations | Integral boundary layer equations | numerical lifting surface computations | numerical lifting surface computations | Numerical representation | Numerical representation | numerical solutions | numerical solutions | partial differential equations of inviscid hydrodynamics | partial differential equations of inviscid hydrodynamics | incompressible fluid mechanics | incompressible fluid mechanics | calculus | calculus | complex numbers | complex numbers | root finding | root finding | curve fitting | curve fitting | numerical differentiation | numerical differentiation | numerical errors | numerical errors | panel methods | panel methods | oscillating rigid objects | oscillating rigid objects | 2.29 | 2.29

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16.885J Aircraft Systems Engineering (MIT) 16.885J Aircraft Systems Engineering (MIT)

Description

Includes audio/video content: AV lectures, AV special element video. 16.885J offers a holistic view of the aircraft as a system, covering: basic systems engineering; cost and weight estimation; basic aircraft performance; safety and reliability; lifecycle topics; aircraft subsystems; risk analysis and management; and system realization. Small student teams retrospectively analyze an existing aircraft covering: key design drivers and decisions; aircraft attributes and subsystems; and operational experience. Oral and written versions of the case study are delivered. For the Fall 2005 term, the class focuses on a systems engineering analysis of the Space Shuttle. It offers study of both design and operations of the shuttle, with frequent lectures by outside experts. Students choose specific s Includes audio/video content: AV lectures, AV special element video. 16.885J offers a holistic view of the aircraft as a system, covering: basic systems engineering; cost and weight estimation; basic aircraft performance; safety and reliability; lifecycle topics; aircraft subsystems; risk analysis and management; and system realization. Small student teams retrospectively analyze an existing aircraft covering: key design drivers and decisions; aircraft attributes and subsystems; and operational experience. Oral and written versions of the case study are delivered. For the Fall 2005 term, the class focuses on a systems engineering analysis of the Space Shuttle. It offers study of both design and operations of the shuttle, with frequent lectures by outside experts. Students choose specific s

Subjects

16.885 | 16.885 | ESD.35 | ESD.35 | aircraft systems | aircraft systems | aircraft systems engineering | aircraft systems engineering | lifecycle | lifecycle | cost estimation | cost estimation | weight estimation | weight estimation | aircraft performance | aircraft performance | aircraft safety | aircraft safety | aircraft reliability | aircraft reliability | subsystems | subsystems | risk analysis | risk analysis | risk management | risk management | system realization | system realization | retrospective analysis | retrospective analysis | key design drivers | key design drivers | design drivers | design drivers | design decisions | design decisions | aircraft attributes | aircraft attributes | operational experience | operational experience | case study | case study | case studies | case studies | air transportation system | air transportation system | air defense system | air defense system | systems engineering | systems engineering | interface management | interface management | interface verification | interface verification | interface validation | interface validation | subsystem architecture | subsystem architecture | performance issues | performance issues | design closure | design closure | complex systems | complex systems | space shuttle | space shuttle | space systems | space systems | NASA | NASA | sound barrier | sound barrier | ascent | ascent | aeronautics | aeronautics | liftoff | liftoff | takeoff | takeoff

License

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2.29 Numerical Marine Hydrodynamics (13.024) (MIT) 2.29 Numerical Marine Hydrodynamics (13.024) (MIT)

Description

Includes audio/video content: AV faculty introductions. This course is an introduction to numerical methods: interpolation, differentiation, integration, and systems of linear equations. It covers the solution of differential equations by numerical integration, as well as partial differential equations of inviscid hydrodynamics: finite difference methods, boundary integral equation panel methods. Also addressed are introductory numerical lifting surface computations, fast Fourier transforms, the numerical representation of deterministic and random sea waves, as well as integral boundary layer equations and numerical solutions. This course was originally offered in Course 13 (Department of Ocean Engineering) as 13.024. In 2005, ocean engineering subjects became part of Course 2 (Department Includes audio/video content: AV faculty introductions. This course is an introduction to numerical methods: interpolation, differentiation, integration, and systems of linear equations. It covers the solution of differential equations by numerical integration, as well as partial differential equations of inviscid hydrodynamics: finite difference methods, boundary integral equation panel methods. Also addressed are introductory numerical lifting surface computations, fast Fourier transforms, the numerical representation of deterministic and random sea waves, as well as integral boundary layer equations and numerical solutions. This course was originally offered in Course 13 (Department of Ocean Engineering) as 13.024. In 2005, ocean engineering subjects became part of Course 2 (Department

Subjects

numerical methods | numerical methods | interpolation | interpolation | differentiation | differentiation | integration | integration | systems of linear equations | systems of linear equations | differential equations | differential equations | numerical integration | numerical integration | partial differential | partial differential | boundary integral equation panel methods | boundary integral equation panel methods | deterministic and random sea waves | deterministic and random sea waves | Fast Fourier Transforms | Fast Fourier Transforms | finite difference methods | finite difference methods | Integral boundary layer equations | Integral boundary layer equations | numerical lifting surface computations | numerical lifting surface computations | Numerical representation | Numerical representation | numerical solutions | numerical solutions | partial differential equations of inviscid hydrodynamics | partial differential equations of inviscid hydrodynamics | incompressible fluid mechanics | incompressible fluid mechanics | calculus | calculus | complex numbers | complex numbers | root finding | root finding | curve fitting | curve fitting | numerical differentiation | numerical differentiation | numerical errors | numerical errors | panel methods | panel methods | oscillating rigid objects | oscillating rigid objects

License

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2.016 Hydrodynamics (13.012) (MIT) 2.016 Hydrodynamics (13.012) (MIT)

Description

This course covers the development of the fundamental equations of fluid mechanics and their simplifications for several areas of marine hydrodynamics and the application of these principles to the solution of engineering problems. Topics include the principles of conservation of mass, momentum and energy, lift and drag forces, laminar and turbulent flows, dimensional analysis, added mass, and linear surface waves, including wave velocities, propagation phenomena, and descriptions of real sea waves. Wave forces on structures are treated in the context of design and basic seakeeping analysis of ships and offshore platforms. Geophysical fluid dynamics will also be addressed including distributions of salinity, temperature, and density; heat balance in the ocean; major ocean circulations and This course covers the development of the fundamental equations of fluid mechanics and their simplifications for several areas of marine hydrodynamics and the application of these principles to the solution of engineering problems. Topics include the principles of conservation of mass, momentum and energy, lift and drag forces, laminar and turbulent flows, dimensional analysis, added mass, and linear surface waves, including wave velocities, propagation phenomena, and descriptions of real sea waves. Wave forces on structures are treated in the context of design and basic seakeeping analysis of ships and offshore platforms. Geophysical fluid dynamics will also be addressed including distributions of salinity, temperature, and density; heat balance in the ocean; major ocean circulations and

Subjects

fluid mechanics | fluid mechanics | mass | mass | momentum | momentum | energy | energy | lift | lift | drag | drag | laminar | laminar | turbulent | turbulent | turbulence | turbulence | wave | wave | waves | waves | surface waves | surface waves | current | current | water | water | ocean | ocean | force | force | sea | sea | sea wave | sea wave | ship | ship | propulsion | propulsion | propeller | propeller | fish | fish | swimming | swimming | wind | wind | VIV | VIV | vortex induced vibration | vortex induced vibration | Bernoulli | Bernoulli | D'Allembert | D'Allembert | hydrostatics | hydrostatics | fluid dynamics | fluid dynamics

License

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2.25 Advanced Fluid Mechanics (MIT) 2.25 Advanced Fluid Mechanics (MIT)

Description

This course surveys the principal concepts and methods of fluid dynamics. Topics include mass conservation, momentum, and energy equations for continua, the Navier-Stokes equation for viscous flows, similarity and dimensional analysis, lubrication theory, boundary layers and separation, circulation and vorticity theorems, potential flow, an introduction to turbulence, lift and drag, surface tension and surface tension driven flows. The class assumes students have had one prior undergraduate class in the area of fluid mechanics. Emphasis is placed on being able to formulate and solve typical problems of engineering importance. This course surveys the principal concepts and methods of fluid dynamics. Topics include mass conservation, momentum, and energy equations for continua, the Navier-Stokes equation for viscous flows, similarity and dimensional analysis, lubrication theory, boundary layers and separation, circulation and vorticity theorems, potential flow, an introduction to turbulence, lift and drag, surface tension and surface tension driven flows. The class assumes students have had one prior undergraduate class in the area of fluid mechanics. Emphasis is placed on being able to formulate and solve typical problems of engineering importance.

Subjects

fluid dynamics | fluid dynamics | Mass conservation | Mass conservation | Navier-Stokes equation | Navier-Stokes equation | viscous flows | viscous flows | dimensional analysis | dimensional analysis | Lubrication theory | Lubrication theory | boundary layer | boundary layer | lift | lift | drag | drag | vorticity theorems | vorticity theorems | Potential flow | Potential flow | turbulence | turbulence | Bernoulli equation | Bernoulli equation | potenial flow | potenial flow | inviscid flow | inviscid flow | flight | flight | surface tension | surface tension

License

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2.20 Marine Hydrodynamics (13.021) (MIT) 2.20 Marine Hydrodynamics (13.021) (MIT)

Description

In this course the fundamentals of fluid mechanics are developed in the context of naval architecture and ocean science and engineering. The various topics covered are: Transport theorem and conservation principles, Navier-Stokes' equation, dimensional analysis, ideal and potential flows, vorticity and Kelvin's theorem, hydrodynamic forces in potential flow, D'Alembert's paradox, added-mass, slender-body theory, viscous-fluid flow, laminar and turbulent boundary layers, model testing, scaling laws, application of potential theory to surface waves, energy transport, wave/body forces, linearized theory of lifting surfaces, and experimental project in the towing tank or propeller tunnel.This subject was originally offered in Course 13 (Department of Ocean Engineering) as 13.021. In 2005, In this course the fundamentals of fluid mechanics are developed in the context of naval architecture and ocean science and engineering. The various topics covered are: Transport theorem and conservation principles, Navier-Stokes' equation, dimensional analysis, ideal and potential flows, vorticity and Kelvin's theorem, hydrodynamic forces in potential flow, D'Alembert's paradox, added-mass, slender-body theory, viscous-fluid flow, laminar and turbulent boundary layers, model testing, scaling laws, application of potential theory to surface waves, energy transport, wave/body forces, linearized theory of lifting surfaces, and experimental project in the towing tank or propeller tunnel.This subject was originally offered in Course 13 (Department of Ocean Engineering) as 13.021. In 2005,

Subjects

fundamentals of fluid mechanics | fundamentals of fluid mechanics | naval architecture | naval architecture | ocean science and engineering | ocean science and engineering | transport theorem | transport theorem | conservation principles | conservation principles | Navier-Stokes' equation | Navier-Stokes' equation | dimensional analysis | dimensional analysis | ideal and potential flows | ideal and potential flows | vorticity and Kelvin's theorem | vorticity and Kelvin's theorem | hydrodynamic forces in potential flow | hydrodynamic forces in potential flow | D'Alembert's paradox | D'Alembert's paradox | added-mass | added-mass | slender-body theory. Viscous-fluid flow | slender-body theory. Viscous-fluid flow | laminar and turbulent boundary layers | laminar and turbulent boundary layers | model testing | model testing | scaling laws | scaling laws | application of potential theory to surface waves | application of potential theory to surface waves | energy transport | energy transport | wave/body forces | wave/body forces | linearized theory of lifting surfaces | linearized theory of lifting surfaces | experimental project in the towing tank or propeller tunnel | experimental project in the towing tank or propeller tunnel

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15.616 Innovative Businesses and Breakthrough Technologies - The Legal Issues (MIT) 15.616 Innovative Businesses and Breakthrough Technologies - The Legal Issues (MIT)

Description

15.616 is an introduction to business law which covers the fundamentals, including contracts, liability, regulation, employment, and corporations, with an in-depth treatment of the legal issues relating to breakthrough technologies, including the legal framework of R&D, the commercialization of new high-technology products in start-ups and mature companies, and the liability and regulatory implications of new products and innovative business models. There is extensive attention to national and international intellectual property protection and strategies. Examples are drawn from many industries, including information technology, communications, and life sciences. Note: This course used to be numbered 15.648. 15.616 is an introduction to business law which covers the fundamentals, including contracts, liability, regulation, employment, and corporations, with an in-depth treatment of the legal issues relating to breakthrough technologies, including the legal framework of R&D, the commercialization of new high-technology products in start-ups and mature companies, and the liability and regulatory implications of new products and innovative business models. There is extensive attention to national and international intellectual property protection and strategies. Examples are drawn from many industries, including information technology, communications, and life sciences. Note: This course used to be numbered 15.648.

Subjects

geomorphic processes | geomorphic processes | climate | climate | tectonics | tectonics | surface processes | surface processes | fluvial processes | fluvial processes | hillslope processes | hillslope processes | glacial processes | glacial processes | weathering | weathering | soil formation | soil formation | runoff | runoff | erosion | erosion | slope stability | slope stability | sediment transport | sediment transport | river morphology | river morphology | glacial erosion | glacial erosion | climatic forcings | climatic forcings | tectonic forcings | tectonic forcings | glaciation | glaciation | sea level change | sea level change | uplift | subsidence | uplift | subsidence | post-glacial isostatic rebound | post-glacial isostatic rebound | contracts | contracts | liability | liability | regulation | regulation | business law | business law | employment | employment | corporations | corporations | in-depth treatment of the legal issues relating to breakthrough technologies | in-depth treatment of the legal issues relating to breakthrough technologies | D | D | commercialization of new high-technology products | commercialization of new high-technology products | start-ups | start-ups | liability and regulatory implications of new products and innovative business models | liability and regulatory implications of new products and innovative business models | national and international intellectual property | national and international intellectual property | intellectual property | intellectual property | industries | industries | information technology | information technology | communications | communications | life sciences | life sciences

License

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16.120 Compressible Flow (MIT) 16.120 Compressible Flow (MIT)

Description

The course begins with the basics of compressible fluid dynamics, including governing equations, thermodynamic context and characteristic parameters. The next large block of lectures covers quasi-one-dimensional flow, followed by a discussion of disturbances and unsteady flows. The second half of the course comprises gas dynamic discontinuities, including shock waves and detonations, and concludes with another large block dealing with two-dimensional flows, both linear and non-linear. The course begins with the basics of compressible fluid dynamics, including governing equations, thermodynamic context and characteristic parameters. The next large block of lectures covers quasi-one-dimensional flow, followed by a discussion of disturbances and unsteady flows. The second half of the course comprises gas dynamic discontinuities, including shock waves and detonations, and concludes with another large block dealing with two-dimensional flows, both linear and non-linear.

Subjects

compressible fluid dynamics | compressible fluid dynamics | fluid dynamics | fluid dynamics | external flows | external flows | internal flows | internal flows | quasi-on-dimensional | quasi-on-dimensional | quasi-1D | quasi-1D | channel flow | channel flow | multi-dimensional flows | multi-dimensional flows | nozzles | nozzles | diffusers | diffusers | inlets | inlets | loss generation | loss generation | interactions | interactions | aerodynamic shapes | aerodynamic shapes | subsonic | subsonic | supersonic | supersonic | transonic | transonic | hypersonic | hypersonic | shock waves | shock waves | vortices | vortices | disturbance behavior | disturbance behavior | unsteady | unsteady | speed of sound | speed of sound | isentropic flows | isentropic flows | non-isentropic flows | non-isentropic flows | potential flows | potential flows | rotational flows | rotational flows | shaft work | shaft work | heat addition | heat addition | mass addition | mass addition | flow states | flow states | flow regime | flow regime | velocity non-uniformities | velocity non-uniformities | density non-uniformities | density non-uniformities | fluid system components | fluid system components | lift | lift | drag | drag | continuum flow | continuum flow | shock strength | shock strength | characteristics | characteristics | governing equations | governing equations | thermodynamic context | thermodynamic context | characteristic parameters | characteristic parameters | quasi-one-dimensional flow | quasi-one-dimensional flow | disturbances | disturbances | unsteady flow | unsteady flow | gas dynamic discontinuities | gas dynamic discontinuities | detonations | detonations | linear two-dimensional flows | linear two-dimensional flows | non-linear two-dimensional flows | non-linear two-dimensional flows

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18.769 Topics in Lie Theory: Tensor Categories (MIT) 18.769 Topics in Lie Theory: Tensor Categories (MIT)

Description

This course will give a detailed introduction to the theory of tensor categories and review some of its connections to other subjects (with a focus on representation-theoretic applications). In particular, we will discuss categorifications of such notions from ring theory as: module, morphism of modules, Morita equivalence of rings, commutative ring, the center of a ring, the centralizer of a subring, the double centralizer property, graded ring, etc. This course will give a detailed introduction to the theory of tensor categories and review some of its connections to other subjects (with a focus on representation-theoretic applications). In particular, we will discuss categorifications of such notions from ring theory as: module, morphism of modules, Morita equivalence of rings, commutative ring, the center of a ring, the centralizer of a subring, the double centralizer property, graded ring, etc.

Subjects

monoidal functors | monoidal functors | tensor | tensor | pivotal | pivotal | spherical | spherical | MacLane's | MacLane's | Grthendieck | Grthendieck | module categories | module categories | braided tensor | braided tensor | Muger centralizer | Muger centralizer | symmetric categories | symmetric categories | deligne's theorem | deligne's theorem | radford formula | radford formula | squared norms | squared norms | global dimensions | global dimensions | cohomology | cohomology | oceanu ridigity | oceanu ridigity | robenius-perron | robenius-perron | lifting theory | lifting theory

License

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