ME 521 Fall 2007 Professor John M. Cimbala Lecture 37 11/28/2007
Today, we will:
•
Continue to discuss creeping flow (low Reynolds number flow)
•
Discuss the classic creeping flow solution – flow over a sphere
From last lecture:
Creeping flow (low Reynolds number flow)
• characteristic length scale = L
• characteristic velocity scale = U
• characteristic time scale = L/U
• characteristic pressure scale =
μ
U/L
So, let’s define nondimensional variables:
*/
ii
x
xL
=
,
*/
ii
uuU
=
,
*/ttUL
=
,
*/ppLU
μ
=
,
and plug these into the equations of motion:
U
L
ρ
,
μ
