Q9) A piston compresses gus in а at constant moving 74 V PISTON X=0 GAS x cylinder by speed V, as shown in the figure. The gui density and length at time t=0 are to and Lo, respectively. Let the qui velucity vary linearly from u = √ at the piston face to u=0 at x = L. If the find an →u(x, t) p(t) x= L ( t) density vanes only with time, p(t)! дал expression for

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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From the question he has wrote the given infomation. i dont understand how he has got that from the question

Now, from the information given u= - V (₁-2)-(2)
a function of x only,
and also
L = L₁ - Vt
Because of (2), Equation (1) is df +pdy
at
dx
=0
(3)
(4)
Transcribed Image Text:Now, from the information given u= - V (₁-2)-(2) a function of x only, and also L = L₁ - Vt Because of (2), Equation (1) is df +pdy at dx =0 (3) (4)
C૧)
A
moving
piston compresser gus in
cylinder by
at consfont speed V, as shown in the figure.
The
Let the
gas density and
length at time t=0 are
to and Lo, respectively.
qui velocity vary
linearly from u = V at
the piston fare to u = o
at x = L. If the
an
V
// PISTON
density
p(t).
X=0
vanes
GAS
•u(x, t)
p(t)
a
x=L(t)
only with time, find
gar
expression for
Transcribed Image Text:C૧) A moving piston compresser gus in cylinder by at consfont speed V, as shown in the figure. The Let the gas density and length at time t=0 are to and Lo, respectively. qui velocity vary linearly from u = V at the piston fare to u = o at x = L. If the an V // PISTON density p(t). X=0 vanes GAS •u(x, t) p(t) a x=L(t) only with time, find gar expression for
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