Show that the x-momentum equation can be written as follows. ди u+v== U=+ ду dU 1 dt dx pay ди dx where U is the free stream velocity. State clearly all assumptions made|

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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(a)
Use the y-momentum equation to show that the pressure
gradient across the boundary layer is approximately zero i.e.
- 0. Assume the boundary layer to be a two-dimensional
ду
steady and incompressible flow. Neglect gravitational
forces. State clearly all assumptions made.
(b)
Show that the x-momentum equation can be written as
follows.
dU
+ v- = U
+
dx
ди
du
1 дт
dx
ду
рду
where U is the free stream velocity. State clearly all
assumptions made.
Transcribed Image Text:(a) Use the y-momentum equation to show that the pressure gradient across the boundary layer is approximately zero i.e. - 0. Assume the boundary layer to be a two-dimensional ду steady and incompressible flow. Neglect gravitational forces. State clearly all assumptions made. (b) Show that the x-momentum equation can be written as follows. dU + v- = U + dx ди du 1 дт dx ду рду where U is the free stream velocity. State clearly all assumptions made.
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