16100lectre28_cg

# 16100lectre28_cg - Assume steady =0 t L Assume > 1 h V =0 x...

This preview shows pages 1–3. Sign up to view the full content.

Assume steady 0 = t Assume 1 >> h L 0 V x ⇒= K Assume 2-D 0 , 0 = = z w Incompressible N-S equations: 1. 0 = + y v x u 2. 22 1 uuu p u u uv txy x x y ν ρ  ∂∂∂ ++= + +   3. 1 vvv p v v y x y + + ∂∂ BC’s w u h x u h x u h x v = + = = ± ) , ( 0 ) , ( 0 ) , ( Turning the crank: N 0 00 ( ) but 0 const Apply bc's 0 x v vv x xy y v v x v = += = =⇒= Now, momentum y : Since 0 = v , we have: 0( , ) ( ) p pxy px y =⇒ = y 2h x y=-h y= h p L p R u w

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

View Full Document
Lecture 28 16.100 2002 2 Note: since the pressure does change from to LR p p over the length ,( ) Lp px = . Finally momentum x : N N N N 22 0 0 0 0 2 2 1 1 ,where steady x t uuu d p u u uv txy d x x y ud p yd x ν ρ µ µρ = =∂ = =   ∂∂∂ ++ = + +  ⇒= Observe that ) ( ) ( x g RHS y f LHS = = and L p p dx dp x g y f L R = = = = const const. ) ( ) ( For this problem, I’ll just use the gradient dx dp but realize this is specified by the end pressures.
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 11/06/2011 for the course AERO 100 taught by Professor Willcox during the Fall '03 term at MIT.

### Page1 / 6

16100lectre28_cg - Assume steady =0 t L Assume > 1 h V =0 x...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online