Keywords: Dimensional analysis
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Advanced Fluid Mechanics, Fall 2002
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Abstract: 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 ... More »
Advanced Fluid Mechanics, Fall 2005
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| Type: | Course Related Materials |
Abstract: 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 ... More »
Advanced Partial Differential Equations with Applications, Spring 2004
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Abstract: A comprehensive treatment of the theory of partial differential equations (pde) from an applied mathematics perspective. Equilibrium, propagation, diffusion, and other phenomena. Initial and boundary value problems. Transform methods, eigenvalue and eigenfunction expansions, Green's functions. Theory ... More »
Aerodynamics of Viscous Fluids, Fall 2003
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Abstract: Boundary layers as rational approximations to the solutions of exact equations of fluid motion. Physical parameters influencing laminar and turbulent aerodynamic flows and transition. Effects of compressibility, heat conduction, and frame rotation. Influence of boundary layers on outer potential flow ... More »
Dimensional Analysis
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Abstract: Dimensional analysis allows us to change the units used to express a value. For instance, it allows us to convert between volume expressed in liters and volume expressed in gallons. The following video gives a brief overview of dimensional analysis, including conversion between the amount of a substance ... More »
Marine Hydrodynamics (13.021), Spring 2005
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Abstract: 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 ... More »
Physics I, Fall 1999
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| Type: | Course Related Materials |
Abstract: This course features lecture notes, problem sets with solutions, exams with solutions, links to related resources, and a complete set of videotaped lectures. The 35 video lectures by Professor Lewin, were recorded on the MIT campus during the Fall of 1999. Prof. Lewin is well-known at MIT and beyond ... More »
Principles of Applied Mathematics, Spring 2006
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Abstract: Introduction to fundamental concepts in "continuous" applied mathematics. Extensive use of demonstrational software. Discussion of computational and modeling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics; nonlinear steepening, breaking and shock formation; ... More »
