advanced fluid mech-5Q

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Engineering

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CAN ANY OF YOU DO ALL 5 QUESTIONS PERFECT SHOWING ALL STEPS ? LAST TWO QUESTIONS ARE FROM BOOK SO I ATTACHED THEM IN OTHER FILE AS WELL AS BOOK DOWNLOAD LINK

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 U U y u=u(x,y) x 1 f ' ' f  0 ) gives the exact solution for the velocity field in 2 a boundary layer above the flat plate. However, sometimes it is convenient to have solution in a closed form (analytical). One way to approximate the flow solution inside a boundary layer is to assume it in a polynomial form as: The Blasius Equation ( f ' ' ' y u  a0  a1  a2 2  a3 3  a4 4 , where   ( being the boundary layer depth).  U The boundary conditions to be satisfied are:  2 u (0) 1) u (0)  0 2) v(0)  0  0  2 u ( ) 0 4)  and 3) u ( )  U   2 u ( ) 5) 0  2 4. Find the approximate solution in a polynomials shape subject to different sets of boundary conditions (column 1 in the following table) and compare them with the exact (Blasius solution). Fill the table. Boundary Conditions Blasius 1 and 3 1, 3 and 4 1, 2, 3 and 4 1, 2, 3, 4 and 5 1, 2 and 3 u U 1 f ' ' ' f ' ' f  0 2 *    *  0.34416 0.1328 2.606  U U y u=u(x,y) x From the textbook (Viscous Fluid Flow, F. White): 5. Problem 4.1 6. Problem 4.3 Equation 4-11 Book link https://ufile.io/ttyfn
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Hello mellisa, I have uploaded your assignment. In case of anything am more than willing to help.

Running Head: BLASIUS EQUATION
1

Blasius Equation

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Anonymous
Really useful study material!

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