2300_les20 - VI. Entropy K. Reversible, Steady Flow Work 2....

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1 lesson 20 VI. Entropy K. Reversible, Steady Flow Work 2. Special cases a. incompressible fluid v = v f and (7-53) becomes ( ) rev ,in f 2 1 wv P P k e p e =− + + If there is no shaft work () VV 22 21 f2 1 2 1 vP P gz z 0 2 −+ + −= (7-55) Bernoulli’s equation (7-54) lesson 20 VI. Entropy b. reversible polytropic process ( Pv n = c, n 1 ) with negligible ke and pe i. closed system ii. steady flow compression 2 1 in 1 Pv Pv wP d v n1 =− = ( ) 11 1/ n 1/n in nn 2 2 nPv w vdP c P dp where c P v == = ∫∫
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2 lesson 20 VI. Entropy iii. steady flow compression, ideal gas (Pv = RT) ( ) 2 21 12 in 1 1 nR T T nRT T wv d P 1 n1 n1T ⎛⎞ == = ⎜⎟ −− ⎝⎠ But for a polytropic process with an ideal gas () n1/n 22 11 TP = and in 1 nRT P w1 n1 P = (7-57b) (7-57b) lesson 20 VI. Entropy c. isentropic process, ideal gas ( pv k = c ) with negligible ke and pe using constant or average c p , c v .
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2300_les20 - VI. Entropy K. Reversible, Steady Flow Work 2....

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