Problem 13.32 - Problem 13.32 [Difficulty: 2] Given:...

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Problem 13.32 [Difficulty: 2] Given: Isentropic air flow into a tank Find: Initial mass flow rate; Ts process; explain nonlinear mass flow rate Solution: Basic equations: T 0 T 1 k1 2 M 2 p 0 p 1 2 M 2 k m rate ρ A V Given or available data p 0 101 kPa p b p 0 10 kPa p b 91 kPa T 0 20 273 () K k 1.4 R 286.9 J kg K D5 m m Then A π 4 D 2 A vena 65 % A A vena 12.8 mm 2 The flow will be choked if p b /p 0 < 0.528 p b p 0 0.901 (Not choked) Hence p 0 p vena 1 2 M 2 k wher e p vena p b p vena 91 kPa so M vena 2 p 0 p vena k 1 M vena 0.389 Then T vena T 0 1 2 M vena 2 T vena 284 K T vena 11.3 °C Then c vena kR T vena c vena 338 m s and
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