ps_11b - 2.20 Problem Set 11B Name: _ 1. Consider an...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
2.20 Problem Set 11B Name: ____________________ 1. Consider an approximate velocity profile within a laminar boundary layer over a wall given by: 1 £ ¦ ¦ ¤ ¦ ¦ ¥ 2 ax () K y G + b x x (; x ) uy < (1) = Ux y p ( ) x measure of the boundary layer thickness at x . (a) By applying one boundary condition at y = which matches the boundary layer flow with the outer flow Ux ( ) , obtain an algebraic relationship between a and b . (b) Now write both a ( x ) and b ( x ) in terms of a new parameter / ( ) such that the x relationship between a and b found in (a) is maintained. In other words, find a / and b / . (c) Write the velocity profile (1) in terms of / instead of a and b . w (d) Using the assumed velocity profile and the x -momentum boundary layer equation ( ) and bx ( ) ( ) , and ( ) are constants at any given x , and x where / is a y x 2 s u x s u + U dU s u + Q u v = 2 s s y y evaluated at y = 0 , obtain an expression for / in terms of U, , and . Also obtain an expression for the pressure gradient dp / dx in terms of U , U , / , , and . ( Hint : Polhausen approach, but a different profile
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/27/2012 for the course MECHANICAL 2.20 taught by Professor Dickk.p.yue during the Spring '05 term at MIT.

Page1 / 2

ps_11b - 2.20 Problem Set 11B Name: _ 1. Consider an...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online