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12.820 Turbulence in Geophysical Systems (MIT) 12.820 Turbulence in Geophysical Systems (MIT)

Description

This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from the fine structure to planetary scale motions. The regimes of turbulence include homogeneous flows in two and three dimensions, geostrophic motions, shear flows, convection, boundary layers, stably stratified flows, and internal waves. This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from the fine structure to planetary scale motions. The regimes of turbulence include homogeneous flows in two and three dimensions, geostrophic motions, shear flows, convection, boundary layers, stably stratified flows, and internal waves.

Subjects

Phenomena | theory | and modeling of turbulence | Phenomena | theory | and modeling of turbulence | oceans | oceans | atmosphere | atmosphere | fine structure | fine structure | planetary scale motions | planetary scale motions | homogeneous flows | homogeneous flows | geostrophic motions | geostrophic motions | shear flows | shear flows | convection | convection | boundary layers | boundary layers | stably stratified flows | stably stratified flows | internal waves | internal waves | turbulence flows | turbulence flows | earth | earth | energetics | energetics | isotropic homogeneous 2D turbulence | isotropic homogeneous 2D turbulence | isotropic homogeneous 3d flows | isotropic homogeneous 3d flows | quasi-geostrophic turbulence | quasi-geostrophic turbulence | parameterizing turbulence | parameterizing turbulence | wave dynamics | wave dynamics | turbulent dispersion | turbulent dispersion | coherent structures | coherent structures

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12.820 Turbulence in Geophysical Systems (MIT)

Description

This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from the fine structure to planetary scale motions. The regimes of turbulence include homogeneous flows in two and three dimensions, geostrophic motions, shear flows, convection, boundary layers, stably stratified flows, and internal waves.

Subjects

Phenomena | theory | and modeling of turbulence | oceans | atmosphere | fine structure | planetary scale motions | homogeneous flows | geostrophic motions | shear flows | convection | boundary layers | stably stratified flows | internal waves | turbulence flows | earth | energetics | isotropic homogeneous 2D turbulence | isotropic homogeneous 3d flows | quasi-geostrophic turbulence | parameterizing turbulence | wave dynamics | turbulent dispersion | coherent structures

License

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1.061 Transport Processes in the Environment (MIT) 1.061 Transport Processes in the Environment (MIT)

Description

This class serves as an introduction to mass transport in environmental flows, with emphasis given to river and lake systems. The class will cover the derivation and solutions to the differential form of mass conservation equations. Class topics to be covered will include: molecular and turbulent diffusion, boundary layers, dissolution, bed-water exchange, air-water exchange and particle transport. This class serves as an introduction to mass transport in environmental flows, with emphasis given to river and lake systems. The class will cover the derivation and solutions to the differential form of mass conservation equations. Class topics to be covered will include: molecular and turbulent diffusion, boundary layers, dissolution, bed-water exchange, air-water exchange and particle transport.

Subjects

river systems | river systems | lake systems | lake systems | scalar transport in environmental flows | scalar transport in environmental flows | momentum transport in environmental flows | momentum transport in environmental flows | stratification in lakes | stratification in lakes | buoyancy-driven flows | buoyancy-driven flows | settling and coagulation | settling and coagulation | air-water exchange | air-water exchange | bed-water exchange | bed-water exchange | phase partitioning | phase partitioning | dissolution | dissolution | boundary layers | boundary layers | molecular diffusion | molecular diffusion | turbulent diffusion | turbulent diffusion | water transportation | water transportation | advection | advection | aquatic systems | aquatic systems | conservation of mass | conservation of mass | derivation | derivation | Diffusion | Diffusion | dispersion | dispersion | environmental flows | environmental flows | instantaneous point source | instantaneous point source | lakes | lakes | mass | mass | transport | transport | particle transport | particle transport | rivers | rivers | scaling | scaling | turbulence | turbulence | water flow | water flow

License

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12.820 Turbulence in Geophysical Systems (MIT) 12.820 Turbulence in Geophysical Systems (MIT)

Description

This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from the fine structure to planetary scale motions. The regimes of turbulence include homogeneous flows in two and three dimensions, geostrophic motions, shear flows, convection, boundary layers, stably stratified flows, and internal waves. This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from the fine structure to planetary scale motions. The regimes of turbulence include homogeneous flows in two and three dimensions, geostrophic motions, shear flows, convection, boundary layers, stably stratified flows, and internal waves.

Subjects

phenomena | theory | and modeling of turbulence | phenomena | theory | and modeling of turbulence | oceans | oceans | atmosphere | atmosphere | fine structure | fine structure | planetary scale motions | planetary scale motions | homogeneous flows | homogeneous flows | geostrophic motions | geostrophic motions | shear flows | shear flows | convection | convection | boundary layers | boundary layers | stably stratified flows | stably stratified flows | internal waves | internal waves

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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12.820 Turbulence in Geophysical Systems (MIT) 12.820 Turbulence in Geophysical Systems (MIT)

Description

This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from the fine structure to planetary scale motions. The regimes of turbulence include homogeneous flows in two and three dimensions, geostrophic motions, shear flows, convection, boundary layers, stably stratified flows, and internal waves. This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from the fine structure to planetary scale motions. The regimes of turbulence include homogeneous flows in two and three dimensions, geostrophic motions, shear flows, convection, boundary layers, stably stratified flows, and internal waves.

Subjects

phenomena | theory | and modeling of turbulence | phenomena | theory | and modeling of turbulence | oceans | oceans | atmosphere | atmosphere | fine structure | fine structure | planetary scale motions | planetary scale motions | homogeneous flows | homogeneous flows | geostrophic motions | geostrophic motions | shear flows | shear flows | convection | convection | boundary layers | boundary layers | stably stratified flows | stably stratified flows | internal waves | internal waves

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. 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

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

Description

Survey of principal concepts and methods of fluid dynamics. Mass conservation, momentum, and energy equations for continua. Navier-Stokes equation for viscous flows. Similarity and dimensional analysis. Lubrication theory. Boundary layers and separation. Circulation and vorticity theorems. Potential flow. Introduction to turbulence. Lift and drag. Surface tension and surface tension driven flows. Survey of principal concepts and methods of fluid dynamics. Mass conservation, momentum, and energy equations for continua. Navier-Stokes equation for viscous flows. Similarity and dimensional analysis. Lubrication theory. Boundary layers and separation. Circulation and vorticity theorems. Potential flow. Introduction to turbulence. Lift and drag. Surface tension and surface tension driven flows.

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 layers | | Boundary layers | | vorticity theorems | | vorticity theorems | | Potential flow | | Potential flow | | turbulence | turbulence

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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1.061 Transport Processes in the Environment (MIT) 1.061 Transport Processes in the Environment (MIT)

Description

Includes audio/video content: AV faculty introductions. This class serves as an introduction to mass transport in environmental flows, with emphasis given to river and lake systems. The class will cover the derivation and solutions to the differential form of mass conservation equations. Class topics to be covered will include: molecular and turbulent diffusion, boundary layers, dissolution, bed-water exchange, air-water exchange and particle transport. Includes audio/video content: AV faculty introductions. This class serves as an introduction to mass transport in environmental flows, with emphasis given to river and lake systems. The class will cover the derivation and solutions to the differential form of mass conservation equations. Class topics to be covered will include: molecular and turbulent diffusion, boundary layers, dissolution, bed-water exchange, air-water exchange and particle transport.

Subjects

river systems | river systems | lake systems | lake systems | scalar transport in environmental flows | scalar transport in environmental flows | momentum transport in environmental flows | momentum transport in environmental flows | stratification in lakes | stratification in lakes | buoyancy-driven flows | buoyancy-driven flows | settling and coagulation | settling and coagulation | air-water exchange | air-water exchange | bed-water exchange | bed-water exchange | phase partitioning | phase partitioning | dissolution | dissolution | boundary layers | boundary layers | molecular diffusion | molecular diffusion | turbulent diffusion | turbulent diffusion | water transportation | water transportation | advection | advection | aquatic systems | aquatic systems | conservation of mass | conservation of mass | derivation | derivation | Diffusion | Diffusion | dispersion | dispersion | environmental flows | environmental flows | instantaneous point source | instantaneous point source | lakes | lakes | mass | mass | transport | transport | particle transport | particle transport | rivers | rivers | scaling | scaling | turbulence | turbulence | water flow | water flow

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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2.011 Introduction to Ocean Science and Engineering (MIT) 2.011 Introduction to Ocean Science and Engineering (MIT)

Description

This course is an introduction to the fundamental aspects of science and engineering necessary for exploring, observing, and utilizing the oceans. Hands-on projects focus on instrumentation in the marine environment and the design of ocean observatories for ocean monitoring and exploration. Topics include acoustics, sound speed and refraction, sounds generated by ships and marine animals, sonar systems and their principles of operation, hydrostatic behavior of floating and submerged bodies geared towards ocean vehicle design, stability of ocean vessels, and the application of instrumentation and electronics in the marine environment. Students work with sensor systems and deploy them in the field to gather and analyze real world data. This course is an introduction to the fundamental aspects of science and engineering necessary for exploring, observing, and utilizing the oceans. Hands-on projects focus on instrumentation in the marine environment and the design of ocean observatories for ocean monitoring and exploration. Topics include acoustics, sound speed and refraction, sounds generated by ships and marine animals, sonar systems and their principles of operation, hydrostatic behavior of floating and submerged bodies geared towards ocean vehicle design, stability of ocean vessels, and the application of instrumentation and electronics in the marine environment. Students work with sensor systems and deploy them in the field to gather and analyze real world data.

Subjects

oceanography | oceanography | physical oceanography | physical oceanography | ocean circulation | ocean circulation | geostrophic flow | geostrophic flow | surface wave | surface wave | wave velocity | wave velocity | propagation phenomena | propagation phenomena | ocean acoustics | ocean acoustics | sonar | sonar | submarine | submarine | submersible | submersible | marine | marine | marine science | marine science | ship | ship | boat | boat | marine animal | marine animal | undersea | undersea | ROV | ROV | current | current | vortex | vortex | turbulence | turbulence

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

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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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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12.810 Dynamics of the Atmosphere (MIT) 12.810 Dynamics of the Atmosphere (MIT)

Description

This course begins with a study of the role of dynamics in the general physics of the atmosphere, the consideration of the differences between modeling and approximation, and the observed large-scale phenomenology of the atmosphere. Only then are the basic equations derived in rigorous manner. The equations are then applied to important problems and methodologies in meteorology and climate, with discussions of the history of the topics where appropriate. Problems include the Hadley circulation and its role in the general circulation, atmospheric waves including gravity and Rossby waves and their interaction with the mean flow, with specific applications to the stratospheric quasi-biennial oscillation, tides, the super-rotation of Venus' atmosphere, the generation of atmospheric turbulence This course begins with a study of the role of dynamics in the general physics of the atmosphere, the consideration of the differences between modeling and approximation, and the observed large-scale phenomenology of the atmosphere. Only then are the basic equations derived in rigorous manner. The equations are then applied to important problems and methodologies in meteorology and climate, with discussions of the history of the topics where appropriate. Problems include the Hadley circulation and its role in the general circulation, atmospheric waves including gravity and Rossby waves and their interaction with the mean flow, with specific applications to the stratospheric quasi-biennial oscillation, tides, the super-rotation of Venus' atmosphere, the generation of atmospheric turbulence

Subjects

atmosphere | atmosphere | meteorology | meteorology | climate | climate | Hadley circulation | Hadley circulation | general circulation | general circulation | atmospheric waves | atmospheric waves | Rossby waves | Rossby waves | stationary waves | stationary waves | atmospheric turbulence | atmospheric turbulence

License

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12.820 Turbulence in the Ocean and Atmosphere (MIT) 12.820 Turbulence in the Ocean and Atmosphere (MIT)

Description

This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from centimeter to planetary scale motions. The regimes of turbulence include homogeneous isotropic three dimensional turbulence, convection, boundary layer turbulence, internal waves, two dimensional turbulence, quasi-geostrophic turbulence, and macrotrubulence in the ocean and atmosphere. This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from centimeter to planetary scale motions. The regimes of turbulence include homogeneous isotropic three dimensional turbulence, convection, boundary layer turbulence, internal waves, two dimensional turbulence, quasi-geostrophic turbulence, and macrotrubulence in the ocean and atmosphere.

Subjects

phenomena | theory | and modeling of turbulence | phenomena | theory | and modeling of turbulence | oceans | oceans | atmosphere | atmosphere | fine structure | fine structure | planetary scale motions | planetary scale motions | homogeneous flows | homogeneous flows | geostrophic motions | geostrophic motions | shear flows | shear flows | convection | convection | boundary layers | boundary layers | stably stratified flows | stably stratified flows | internal waves | internal waves

License

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12.820 Turbulence in the Ocean and Atmosphere (MIT) 12.820 Turbulence in the Ocean and Atmosphere (MIT)

Description

This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from centimeter to planetary scale motions. The regimes of turbulence include homogeneous isotropic three dimensional turbulence, convection, quasi-geostrophic turbulence, shallow water turbulence, baroclinic turbulence, macroturbulence in the ocean and atmosphere. This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from centimeter to planetary scale motions. The regimes of turbulence include homogeneous isotropic three dimensional turbulence, convection, quasi-geostrophic turbulence, shallow water turbulence, baroclinic turbulence, macroturbulence in the ocean and atmosphere.

Subjects

phenomena | phenomena | theory | theory | and modeling of turbulence | and modeling of turbulence | oceans | oceans | atmosphere | atmosphere | fine structure | fine structure | planetary scale motions | planetary scale motions | homogeneous flows | homogeneous flows | geostrophic motions | geostrophic motions | shear flows | shear flows | convection | convection | boundary layers | boundary layers | stably stratified flows | stably stratified flows | internal waves | internal waves

License

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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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16.13 Aerodynamics of Viscous Fluids (MIT) 16.13 Aerodynamics of Viscous Fluids (MIT)

Description

The major focus of 16.13 is on boundary layers, and boundary layer theory subject to various flow assumptions, such as compressibility, turbulence, dimensionality, and heat transfer. Parameters influencing aerodynamic flows and transition and influence of boundary layers on outer potential flow are presented, along with associated stall and drag mechanisms. Numerical solution techniques and exercises are included. The major focus of 16.13 is on boundary layers, and boundary layer theory subject to various flow assumptions, such as compressibility, turbulence, dimensionality, and heat transfer. Parameters influencing aerodynamic flows and transition and influence of boundary layers on outer potential flow are presented, along with associated stall and drag mechanisms. Numerical solution techniques and exercises are included.

Subjects

aerodynamics | aerodynamics | viscous fluids | viscous fluids | viscosity | viscosity | fundamental theorem of kinematics | fundamental theorem of kinematics | convection | convection | vorticity | vorticity | strain | strain | Eulerian description | Eulerian description | Lagrangian description | Lagrangian description | conservation of mass | conservation of mass | continuity | continuity | conservation of momentum | conservation of momentum | stress tensor | stress tensor | newtonian fluid | newtonian fluid | circulation | circulation | Navier-Stokes | Navier-Stokes | similarity | similarity | dimensional analysis | dimensional analysis | thin shear later approximation | thin shear later approximation | TSL coordinates | TSL coordinates | boundary conditions | boundary conditions | shear later categories | shear later categories | local scaling | local scaling | Falkner-Skan flows | Falkner-Skan flows | solution techniques | solution techniques | finite difference methods | finite difference methods | Newton-Raphson | Newton-Raphson | integral momentum equation | integral momentum equation | Thwaites method | Thwaites method | integral kinetic energy equation | integral kinetic energy equation | dissipation | dissipation | asymptotic perturbation | asymptotic perturbation | displacement body | displacement body | transpiration | transpiration | form drag | form drag | stall | stall | interacting boundary layer theory | interacting boundary layer theory | stability | stability | transition | transition | small-perturbation | small-perturbation | Orr-Somemerfeld | Orr-Somemerfeld | temporal amplification | temporal amplification | spatial amplification | spatial amplification | Reynolds | Reynolds | Prandtl | Prandtl | turbulent boundary layer | turbulent boundary layer | wake | wake | wall layers | wall layers | inner variables | inner variables | outer variables | outer variables | roughness | roughness | Clauser | Clauser | Dissipation formula | Dissipation formula | integral closer | integral closer | turbulence modeling | turbulence modeling | transport models | transport models | turbulent shear layers | turbulent shear layers | compressible then shear layers | compressible then shear layers | compressibility | compressibility | temperature profile | temperature profile | heat flux | heat flux | 3D boundary layers | 3D boundary layers | crossflow | crossflow | lateral dilation | lateral dilation | 3D separation | 3D separation | constant-crossflow | constant-crossflow | 3D transition | 3D transition | compressible thin shear layers | compressible thin shear layers

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3.044 Materials Processing (MIT) 3.044 Materials Processing (MIT)

Description

The goal of 3.044 is to teach cost-effective and sustainable production of solid material with a desired geometry, structure or distribution of structures, and production volume. Toward this end, it is organized around different types of phase transformations which determine the structure in various processes for making materials, in roughly increasing order of entropy change during those transformations: solid heat treatment, liquid-solid processing, fluid behavior, deformation processing, and vapor-solid processing. The course ends with several lectures that place the subject in the context of society at large. The goal of 3.044 is to teach cost-effective and sustainable production of solid material with a desired geometry, structure or distribution of structures, and production volume. Toward this end, it is organized around different types of phase transformations which determine the structure in various processes for making materials, in roughly increasing order of entropy change during those transformations: solid heat treatment, liquid-solid processing, fluid behavior, deformation processing, and vapor-solid processing. The course ends with several lectures that place the subject in the context of society at large.

Subjects

diffusion | diffusion | chemical reaction | chemical reaction | phase transformation | phase transformation | heat transport | heat transport | mass transport | mass transport | fluid | fluid | fluid flow | fluid flow | recycling | recycling | cost modeling | cost modeling | multilayer | multilayer | biot number | biot number | radiation | radiation | convection | convection | titanium | titanium | moving bodies | moving bodies | Reynolds number | Reynolds number | turbulence | turbulence | reactor | reactor | deformation | deformation | polymer | polymer | vapor transport | vapor transport | nanotechnology | nanotechnology

License

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12.090 Introduction to Fluid Motions, Sediment Transport, and Current-Generated Sedimentary Structures (MIT) 12.090 Introduction to Fluid Motions, Sediment Transport, and Current-Generated Sedimentary Structures (MIT)

Description

This course begins by introducing students to aspects of fluid dynamics relevant to transport and deposition of particulate sedimentary materials. Emphasis is on the structure of turbulent shear flows and the forces exerted by fluid motions on bed of loosed sediment. With fluid dynamics as background, the course deals with sediment movement as bed load and suspended load, and with the geometry, kinematics, and dynamics of ripple and dune bed forms. The course concludes with basic material on the styles of current-generated primary sedimentary structures, with emphasis on cross stratification. This course begins by introducing students to aspects of fluid dynamics relevant to transport and deposition of particulate sedimentary materials. Emphasis is on the structure of turbulent shear flows and the forces exerted by fluid motions on bed of loosed sediment. With fluid dynamics as background, the course deals with sediment movement as bed load and suspended load, and with the geometry, kinematics, and dynamics of ripple and dune bed forms. The course concludes with basic material on the styles of current-generated primary sedimentary structures, with emphasis on cross stratification.

Subjects

geology | geology | rocks | rocks | sedimentary | sedimentary | fluid motions | fluid motions | sediment transport | sediment transport | sedimentary structures | sedimentary structures | viscosity | viscosity | diffusion | diffusion | turbulence | turbulence | boundary layers | boundary layers | laminar flow | laminar flow | stress | stress | shear stress | shear stress | oscillatory-flow | oscillatory-flow | combined-flow | combined-flow | wind ripples | wind ripples | Eolian dunes | Eolian dunes | cross stratification | cross stratification | planar lamination | planar lamination

License

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8.09 Classical Mechanics III (MIT) 8.09 Classical Mechanics III (MIT)

Description

This course covers Lagrangian and Hamiltonian mechanics, systems with constraints, rigid body dynamics, vibrations, central forces, Hamilton-Jacobi theory, action-angle variables, perturbation theory, and continuous systems. It provides an introduction to ideal and viscous fluid mechanics, including turbulence, as well as an introduction to nonlinear dynamics, including chaos. This course covers Lagrangian and Hamiltonian mechanics, systems with constraints, rigid body dynamics, vibrations, central forces, Hamilton-Jacobi theory, action-angle variables, perturbation theory, and continuous systems. It provides an introduction to ideal and viscous fluid mechanics, including turbulence, as well as an introduction to nonlinear dynamics, including chaos.

Subjects

Lagrangian mechanics | Lagrangian mechanics | Hamiltonian mechanics | Hamiltonian mechanics | systems with constraints | systems with constraints | rigid body dynamics | rigid body dynamics | vibrations | vibrations | central forces | central forces | Hamilton-Jacobi theory | Hamilton-Jacobi theory | action-angle variables | action-angle variables | perturbation theory | perturbation theory | continuous systems | continuous systems | ideal fluid mechanics | ideal fluid mechanics | viscous fluid mechanics | viscous fluid mechanics | turbulence | turbulence | nonlinear dynamics | nonlinear dynamics | chaos | chaos

License

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

Description

This course is a survey of principal concepts and methods of fluid dynamics. Topics include mass conservation, momentum, and energy equations for continua; Navier-Stokes equation for viscous flows; similarity and dimensional analysis; lubrication theory; boundary layers and separation; circulation and vorticity theorems; potential flow; introduction to turbulence; lift and drag; surface tension and surface tension driven flows. This course is a survey of principal concepts and methods of fluid dynamics. Topics include mass conservation, momentum, and energy equations for continua; Navier-Stokes equation for viscous flows; similarity and dimensional analysis; lubrication theory; boundary layers and separation; circulation and vorticity theorems; potential flow; introduction to turbulence; lift and drag; surface tension and surface tension driven flows.

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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2.25 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

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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3.044 Materials Processing (MIT)

Description

The goal of 3.044 is to teach cost-effective and sustainable production of solid material with a desired geometry, structure or distribution of structures, and production volume. Toward this end, it is organized around different types of phase transformations which determine the structure in various processes for making materials, in roughly increasing order of entropy change during those transformations: solid heat treatment, liquid-solid processing, fluid behavior, deformation processing, and vapor-solid processing. The course ends with several lectures that place the subject in the context of society at large.

Subjects

diffusion | chemical reaction | phase transformation | heat transport | mass transport | fluid | fluid flow | recycling | cost modeling | multilayer | biot number | radiation | convection | titanium | moving bodies | Reynolds number | turbulence | reactor | deformation | polymer | vapor transport | nanotechnology

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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12.090 Special Topics: An Introduction to Fluid Motions, Sediment Transport, and Current-generated Sedimentary Structures (MIT)

Description

This course begins by introducing students to aspects of fluid dynamics relevant to transport and deposition of particulate sedimentary materials. Emphasis is on the structure of turbulent shear flows and the forces exerted by fluid motions on bed of loosed sediment. With fluid dynamics as background, the course deals with sediment movement as bed load and suspended load, and with the geometry, kinematics, and dynamics of ripple and dune bed forms. The course concludes with basic material on the styles of current-generated primary sedimentary structures, with emphasis on cross stratification.

Subjects

geology | rocks | sedimentary | fluid motions | sediment transport | sedimentary structures | viscosity | diffusion | turbulence | boundary layers | laminar flow | stress | shear stress | oscillatory-flow | combined-flow | wind ripples | Eolian dunes | cross stratification | planar lamination

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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1.061 Transport Processes in the Environment (MIT)

Description

This class serves as an introduction to mass transport in environmental flows, with emphasis given to river and lake systems. The class will cover the derivation and solutions to the differential form of mass conservation equations. Class topics to be covered will include: molecular and turbulent diffusion, boundary layers, dissolution, bed-water exchange, air-water exchange and particle transport.

Subjects

river systems | lake systems | scalar transport in environmental flows | momentum transport in environmental flows | stratification in lakes | buoyancy-driven flows | settling and coagulation | air-water exchange | bed-water exchange | phase partitioning | dissolution | boundary layers | molecular diffusion | turbulent diffusion | water transportation | advection | aquatic systems | conservation of mass | derivation | Diffusion | dispersion | environmental flows | instantaneous point source | lakes | mass | transport | particle transport | rivers | scaling | turbulence | water flow

License

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1.061 Transport Processes in the Environment (MIT)

Description

This class serves as an introduction to mass transport in environmental flows, with emphasis given to river and lake systems. The class will cover the derivation and solutions to the differential form of mass conservation equations. Class topics to be covered will include: molecular and turbulent diffusion, boundary layers, dissolution, bed-water exchange, air-water exchange and particle transport.

Subjects

river systems | lake systems | scalar transport in environmental flows | momentum transport in environmental flows | stratification in lakes | buoyancy-driven flows | settling and coagulation | air-water exchange | bed-water exchange | phase partitioning | dissolution | boundary layers | molecular diffusion | turbulent diffusion | water transportation | advection | aquatic systems | conservation of mass | derivation | Diffusion | dispersion | environmental flows | instantaneous point source | lakes | mass | transport | particle transport | rivers | scaling | turbulence | water flow

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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