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Navier-Stokes Final Exam Question (Liquid Film)
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MEC516/BME516 Fluid Mechanics I: A Fluid Mechanics Final Exam question on solving the Navier-Stokes equations (Chapter 4). The velocity and pressure fields are calculated for a gravity-driven liquid film on an inclined plate. This unique aspect of this problem is the no shear stress boundary condition at the top of the liquid film.
Course Textbook: F.M. White and H. Xue, Fluid Mechanics, 9th Edition, McGraw-Hill, New York, 2021.
Chapters
0:00 Introduction
0:18 Problem statement
1:23 Discussion of the assumptions & boundary conditions
3:34 Solution for the velocity field u(y)
7:18 Application of the boundary conditions
9:45 Final Answer for the velocity field u(y)
9:59 Solution for the dp/dy
10:51 Final answer for dp/dy
11:42 Animation and discussion of DNS turbulence modelling
#fluidmechanics #fluiddynamics #mechanicalengineering
Course Textbook: F.M. White and H. Xue, Fluid Mechanics, 9th Edition, McGraw-Hill, New York, 2021.
Chapters
0:00 Introduction
0:18 Problem statement
1:23 Discussion of the assumptions & boundary conditions
3:34 Solution for the velocity field u(y)
7:18 Application of the boundary conditions
9:45 Final Answer for the velocity field u(y)
9:59 Solution for the dp/dy
10:51 Final answer for dp/dy
11:42 Animation and discussion of DNS turbulence modelling
#fluidmechanics #fluiddynamics #mechanicalengineering
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