Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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U2
v(r)
A(x)
A2
A1
Figure 2: Control Volume for (a)
(a) A nozzle with exit area A, is mounted at the end of a pipe of area A1, as
shown in figure 2. The nozzle converges gradually, and we assume that the
flow in it is steady, uniform over any particular cross-section x,
incompressible, and inviscid. Gravitational effects are, furthermore, taken
as negligible. Denote the exit velocity U2 and let the exit pressure p2 equal
the atmospheric pressure patm-
(i) Show that the volume flow rate in the nozzle given by Q = v(x)A(x) is
constant.
(ii) Derive an expression for the gauge pressure p,(x) = p(x) – Patm, in
terms of Q, p, A2 and A(x).
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Transcribed Image Text:U2 v(r) A(x) A2 A1 Figure 2: Control Volume for (a) (a) A nozzle with exit area A, is mounted at the end of a pipe of area A1, as shown in figure 2. The nozzle converges gradually, and we assume that the flow in it is steady, uniform over any particular cross-section x, incompressible, and inviscid. Gravitational effects are, furthermore, taken as negligible. Denote the exit velocity U2 and let the exit pressure p2 equal the atmospheric pressure patm- (i) Show that the volume flow rate in the nozzle given by Q = v(x)A(x) is constant. (ii) Derive an expression for the gauge pressure p,(x) = p(x) – Patm, in terms of Q, p, A2 and A(x).
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