Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 8, Problem 8.31P
A Rankine half-body is formed as shown in Fig. P8.3 1. For the stream velocity and body dimension shown, compute (a) the source strength m in m2/s, (b) the distance a, (c) the distance h, and (d) the total velocity at point A.
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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(P3-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, u, V and VG
Q5
If, in an incompressible plane flow, the velocity component u = const, what can we say about the y-component of
velocity? About the density?
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.
Chapter 8 Solutions
Fluid Mechanics
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