Equations_Feb_20_2002_Class414

Equations_Feb_20_2002_Class414 - Non-dimensionalization of...

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

View Full Document Right Arrow Icon
Non-dimensionalization of Momentum Equation 2 2 u y uu uvg ( T T ) xy ∂∂ += β + ν Introduce non-dimensional quantities with superscript *: ** o uuU ;xx L ; yy == = * L ) * s TT T ( T T ∞∞ =+ Note that all reference quantities are always dimensional. LHS: * * 00 o (u U ) v U uU (x L) (y L) + 0 22 UU uv LxLy RHS 2* * 0 s Uu gT( ) L 2 y β− + ν
Background image of page 1

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

View Full DocumentRight Arrow Icon
Divide LHS and RHS by 2 0 U L to obtain ** s 0 uu L uvg ( T T ) xy U ∂∂ += β * 2 T 2* 0 *2 22 0 UL u y LU * s 0L L1 g( T T ) T UR
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 10/13/2010 for the course MECH 414 taught by Professor Ghia during the Winter '06 term at University of Cincinnati.

Page1 / 2

Equations_Feb_20_2002_Class414 - Non-dimensionalization of...

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