Q.4 A steady, uniform-density, 2-D flow is to be calculated on the square grid shown below. The boundary velocities are given as; v₁ =30, VB = 40,uc=100, u = 50, y = 200, u, = 210, V₁ = 0 and v₁ =20. Among these numbers, there is some doubt about correctness of the value of u,. If all other numbers are correct, what should be the correct value of u,? The internal velocities are governed by simplified momentum equations given by: up = 70+0.5 (P₁-P₂) u, = 10 +0.7 (P3-P4) V=30+0.5(P₁-P₁) VG = 18+0.8(P₁-P₂) Write discretized continuity equation for each control volume. Derive the discretization equation for pressure by substituting from momentum equations, following SIMPLER calculation procedure. Solve the pressure equations to obtain P₁, P2, P3 and p₁. Hence obtain values of up, u₁, VF and vo
Q.4 A steady, uniform-density, 2-D flow is to be calculated on the square grid shown below. The boundary velocities are given as; v₁ =30, VB = 40,uc=100, u = 50, y = 200, u, = 210, V₁ = 0 and v₁ =20. Among these numbers, there is some doubt about correctness of the value of u,. If all other numbers are correct, what should be the correct value of u,? The internal velocities are governed by simplified momentum equations given by: up = 70+0.5 (P₁-P₂) u, = 10 +0.7 (P3-P4) V=30+0.5(P₁-P₁) VG = 18+0.8(P₁-P₂) Write discretized continuity equation for each control volume. Derive the discretization equation for pressure by substituting from momentum equations, following SIMPLER calculation procedure. Solve the pressure equations to obtain P₁, P2, P3 and p₁. Hence obtain values of up, u₁, VF and vo
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Transcribed Image Text:Q.4
A steady, uniform-density, 2-D flow is to be calculated on the square grid shown below.
The boundary velocities are given as; v₁ = 30, V = 40,uc=100, u = 50, u = 200,
u, = 210, v = 0 and v₁ = 20. Among these numbers, there is some doubt about
correctness of the value of u,. If all other numbers are correct, what should be the correct
value of u,?
The internal velocities are governed by simplified momentum equations given by:
up=70+0.5(P₁-P₂)
u, = 10+0.7 (P3-P4)
V=30+0.5(P₁-P₁)
V=18+0.8(P₁-P₂)
Write discretized continuity equation for each control volume. Derive the discretization
equation for pressure by substituting from momentum equations, following SIMPLER
calculation procedure. Solve the pressure equations to obtain P₁, P2, P3 and p₁. Hence
obtain values ofu,, U₁, V and V6.
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