Ձ Ա 12h fluid with f. **>x u Figure 1: Parallel Plates, top plate moving to the right at 2U and the bottom plate moving to the left at U. / ני ди suly)=? Figure 2: Angled Plate with a free surface 3. Figure 1 shows two infinite parallel plates separated by a distance 2h where the top plate is moving at a velocity 2U to the right and the bottom plate is moving to the left at a speed U. Noting that the coordinate system starts at the midpoint between the plates find the following: (a) Use continuity and boundary conditions to show v = 0 everywhere. (b) Derive the velocity profile u (y) using Navier-Stokes Equation. (c) At what position between the two plates is u (y) = 0?
Ձ Ա 12h fluid with f. **>x u Figure 1: Parallel Plates, top plate moving to the right at 2U and the bottom plate moving to the left at U. / ני ди suly)=? Figure 2: Angled Plate with a free surface 3. Figure 1 shows two infinite parallel plates separated by a distance 2h where the top plate is moving at a velocity 2U to the right and the bottom plate is moving to the left at a speed U. Noting that the coordinate system starts at the midpoint between the plates find the following: (a) Use continuity and boundary conditions to show v = 0 everywhere. (b) Derive the velocity profile u (y) using Navier-Stokes Equation. (c) At what position between the two plates is u (y) = 0?
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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Transcribed Image Text:Ձ Ա
12h
fluid with f.
**>x
u
Figure 1: Parallel Plates, top plate moving to the right at 2U
and the bottom plate moving to the left at U.
/ ני
ди
suly)=?
Figure 2: Angled Plate with a free surface
3. Figure 1 shows two infinite parallel plates separated by a distance 2h where the top plate is moving at a velocity 2U
to the right and the bottom plate is moving to the left at a speed U. Noting that the coordinate system starts at the
midpoint between the plates find the following:
(a) Use continuity and boundary conditions to show v = 0 everywhere.
(b) Derive the velocity profile u (y) using Navier-Stokes Equation.
(c) At what position between the two plates is u (y)
= 0?
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