(a) Explanation Write the steady state energy equation for the valve. W ˙ c v + H 2 + m ˙ ( 1 2 V 2 2 + g z 2 ) = Q ˙ c v + H 1 + m ˙ ( 1 2 V 1 2 + g z 1 ) (I) Here, the rate of work flow through the control volume is W ˙ c v , the rate of enthalpy at the exit is H 2 , the velocity of the fluid at exit is V 2 , the datum head of the exit is z 2 , the acceleration due to gravity is g , the rate of heat flow through the control volume is Q ˙ c v , the rate of enthalpy at the entry is H 1 , the mass flow rate is m ˙ , the velocity of fluid at the entry is V 1 and the datum head at the entry is z 1 . There is no heat flow through the control volume that is Q ˙ c v is zero. No work interaction takes place through the control volume that is W ˙ c v = 0 . The flow rate and the datum head at the entry and the exit is same hence, V 1 = V 2 and z 1 = z 2 . Write the expression for the enthalpy rate at the entry. H 1 = m ˙ h 1 Here, the mass flow rate of the fluid is m ˙ and the specific enthalpy is h 1 . Write the expression for the enthalpy rate at the exit. H 2 = m ˙ h 2 Here, the specific enthalpy at the exit is h 2 . Substitute m ˙ h 2 for H 2 , m ˙ h 1 for H 1 , z 1 for z 2 , V 1 for V 2 , 0 for Q ˙ c v and 0 for W ˙ c v in Equation (I) (b) To determine The mass flow rate of the refrigerant.

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118412930

Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey

Publisher: WILEY

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Chapter 4.12, Problem 96P

(a)

To determine

The temperature in °C of the refrigerant at the exit of the valve.

(b)

To determine

The mass flow rate of the refrigerant.

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Chapter 4.12, Problem 95P

Chapter 4.12, Problem 97P

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The temperature in ° C of the refrigerant at the exit of the valve.