Consider a pressure surge system (as shown below) to reduce the effect of pressure variations at a compressor outlet on the pressure in a compressed gas header. Derive the transfer function W'3(s)/P'c(s)? Available Information: (i) (ii) (iii) (iv) (v) The three valves operate linearly with resistances R1, R2, R3. Ex: w, = (P. - P,)/R, The tank volumes (V, and V2) are constant. The Ideal Gas Law holds. The molecular weight of the gas is M. Operation is isothermal. w1 w2 W3 Pe P1 P2 Ph R1 R2 To header R3 Surge tank 1 Surge tank ?

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q2/ Consider a pressure surge system (as shown below) to reduce the
effect of pressure variations at a compressor outlet on the pressure in a
compressed gas header. Derive the transfer function W'3(s)/P'c(s)?
Available Information:
(i)
(ii)
(iii)
(iv)
(v)
The three valves operate linearly with resistances R1, R2, R3. Ex: w, = (P. - P,)/R,
The tank volumes (V, and V2) are constant.
The Ideal Gas Law holds.
The molecular weight of the gas is M.
Operation is isothermal.
W2
W3
Pe
P1
P2
·Ph
R1
R2
To header
R3
Surge
tank 1
Surge
tank 2
Transcribed Image Text:Q2/ Consider a pressure surge system (as shown below) to reduce the effect of pressure variations at a compressor outlet on the pressure in a compressed gas header. Derive the transfer function W'3(s)/P'c(s)? Available Information: (i) (ii) (iii) (iv) (v) The three valves operate linearly with resistances R1, R2, R3. Ex: w, = (P. - P,)/R, The tank volumes (V, and V2) are constant. The Ideal Gas Law holds. The molecular weight of the gas is M. Operation is isothermal. W2 W3 Pe P1 P2 ·Ph R1 R2 To header R3 Surge tank 1 Surge tank 2
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