Thermodynamics: An Engineering Approach 8th Edition

Published by McGraw-Hill Education
ISBN 10: 0-07339-817-9
ISBN 13: 978-0-07339-817-4

Chapter 5 - Mass and Energy Analysis of Control Volumes - Problems - Page 266: 5-143

Answer

$\dot{m}=0.3674\ kg/s$ $\mathcal{V}_2=10.8\ m/s$

Work Step by Step

From table A-6: Inlet ($P_1=1.2\ MPa, T_1=250°C$): $v_1=0.19241\ m³/kg,\ h_1=2935.6\ kJ/kg$ Outlet ($P_2=1\ MPa, h_2=h_1$): $v_2=0.23099\ m³/kg$ The mass flowrate is given by: $\dot{m}=\dfrac{A\mathcal{V}}{v}$ Given $A_1=\dfrac{\pi D_1^2}4,\ D_1=0.15\ m,\ \mathcal{V}_1=4\ m/s$: $\dot{m}=0.3674\ kg/s$ At the outlet $D_2=0.1\ m$: $\mathcal{V}_2=10.8\ m/s$
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