quiz_2 - 2.29: Numerical Fluid Mechanics Quiz 2...

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2.29: Numerical Fluid Mechanics Quiz 2 MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING CAMBRIDGE, MASSACHUSETTS 02139 2.29 NUMERICAL FLUID MECHANICS— SPRING 2007 Quiz 2 Takehome 48 hours, Totally 25 points Due Thursday 4 p.m. 05/17/07, Focused on Lecture 12 to 25 (Last Lecture) Note that you are not allowed to collaborate or share your thoughts about the problems. Please state your assumptions and write down clearly what you think about the problems even if you cannot solve them to the endpoint. Furthermore, note that we do not need you to attach your codes and we will not look through them to find what you have done, instead explain your method. Problem 1 (5 points): The boundary layer equation for the self-similar incompressible flow over a flat plate can be cast as the following equation and boundary conditions set: f ''' + 1 2 f '' f = 0, where f ''' = d 3 f dx 3 , f '' = d 2 f dx 2 f (0) = 0 f '(0) = 0 f '( ! ) = 1 " # $ % $ 1. Solve the equation with your method of choice and plot the f(x) curve.
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This note was uploaded on 02/27/2012 for the course MECHANICAL 2.29 taught by Professor Henrikschmidt during the Spring '07 term at MIT.

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quiz_2 - 2.29: Numerical Fluid Mechanics Quiz 2...

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