Consider a steady two-dimensional steady viscous incompressible flow between two infinitely large parallel plates (Figure QA2). Assume the top plate is moving to the right at a constant speed U₁ +h -h YA U U₁ Top Plate X -(1+ 1- 2 h Fluid (P. μ) Bottom Plate Figure QA2 a) If the pressure gradient in the direction of flow is dp By making reasonal assumptions, solve the dx conservation equations and show that the velocity distribution between the two plate can be expressed as: h² dp Uιμ dx 2h -(1-²) b) Assume U₁ =10m/s, h=200 mm, u=1.0x 10-³Ns/m², the wall shear stress at y =th. What is the power requirement to drag the top plate at this speed? dP dx = 0.50 N/m² m Calculate d) Do you expect to have a flow reversal in any part of the flow? If yes, would it occur close to the top plate or bottom plate? Explain.

Consider a steady two-dimensional steady viscous incompressible flow between two infinitely large parallel plates (Figure QA2). Assume the top plate is moving to the right at a constant speed U₁ +h -h YA U U₁ Top Plate X -(1+ 1- 2 h Fluid (P. μ) Bottom Plate Figure QA2 a) If the pressure gradient in the direction of flow is dp By making reasonal assumptions, solve the dx conservation equations and show that the velocity distribution between the two plate can be expressed as: h² dp Uιμ dx 2h -(1-²) b) Assume U₁ =10m/s, h=200 mm, u=1.0x 10-³Ns/m², the wall shear stress at y =th. What is the power requirement to drag the top plate at this speed? dP dx = 0.50 N/m² m Calculate d) Do you expect to have a flow reversal in any part of the flow? If yes, would it occur close to the top plate or bottom plate? Explain.

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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