Explanation Here, the two streams (comparatively hot and cold) of fluids are mixed in a rigid mixing chamber and operates at steady state. Hence, the inlet and exit mass flow rates are equal. m ˙ 1 + m ˙ 2 = m ˙ 3 (I) Write the energy rate balance equation for two inlet and one outlet system. { [ Q ˙ 1 + W ˙ 1 + m ˙ 1 ( h 1 + V 1 2 2 + g z 1 ) ] + [ Q ˙ 2 + W ˙ 2 + m ˙ 2 ( h 2 + V 2 2 2 + g z 2 ) ] − [ Q ˙ 3 + W ˙ 3 + m ˙ 3 ( h 3 + V 3 2 2 + g z 3 ) ] } = Δ E ˙ system (II) Here, the rate of heat transfer is Q ˙ , the rate of work transfer is W ˙ , the enthalpy is h and the velocity is V , the gravitational acceleration is g , the elevation from the datum is z and the rate of change in net energy of the system is Δ E ˙ system ; the suffixes 1 indicates the hot water stream inlet, 2 indicates the cold water stream inlet and 3 indicates the mixed water stream outlet. The system is at steady state. Hence, the rate of change in net energy of the system becomes zero. Δ E ˙ system = 0 Neglect the heat transfer, work transfer, kinetic and potential energies. The Equation (II) reduced as follows. m ˙ 1 h 1 + m ˙ 2 h 2 − m ˙ 3 h 3 = 0 m ˙ 1 h 1 + m ˙ 2 h 2 = m ˙ 3 h 3 (III) Substitute m ˙ 1 + m ˙ 2 for m ˙ 3 . m ˙ 1 h 1 + m ˙ 2 h 2 = ( m ˙ 1 + m ˙ 2 ) h 3 h 3 = m ˙ 1 h 1 + m ˙ 2 h 2 m ˙ 1 + m ˙ 2 (IV) Here, the hot fluid is steam i.e. fluid 1. The steam is at the state of superheated vapor. Refer Table A-6E, “Superheated water” Obtain the enthalpy ( h 1 ) of steam corresponding to the pressure of 80 psia and the temperature of 400 ° F h 1 = 1230.8 Btu/lbm The cold fluid is water i.e. fluid 2. The water is at the state of saturated water. Refer Table A-4E, “Saturated water–Temperature table” Obtain the enthalpy ( h 2 ) of water corresponding to the temperature of 60 ° F h f @ 60 ° F = h 2 = 28

CONNECT FOR THERMODYNAMICS: AN ENGINEERI

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ISBN: 9781260048636

Author: CENGEL

Publisher: MCG

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Chapter 5.5, Problem 164RP

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The temperature of the mixture leaving the device.

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Chapter 5.5, Problem 163RP

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CONNECT FOR THERMODYNAMICS: AN ENGINEERI

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The temperature of the mixture leaving the device.

Solution Summary: The author explains the temperature of the mixture leaving the device. The inlet and exit mass flow rates are equal.

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