(a) Explanation Here, the system (evaporator) operates in steady state with one inlet and one exit. Hence, the inlet mass flow rate of the refrigerant and exit flow rate of refrigerant are equal. m ˙ 1 = m ˙ 2 (I) Write the formula for inlet mass flow rate. m ˙ 1 = A 1 V 1 v 1 (II) Here, the cross sectional area is A 1 , the velocity is V 1 , the pressure and the specific volume is v ; the suffix 1 indicates the inlet state. Write the formula for cross-sectional area of the evaporator channel. A = π d 2 4 Here, the diameter of the evaporator channel. Here, the evaporator have constant diameter. Hence, inlet and exit cross-sectional areas are same Substitute π d 2 4 for A in Equation (II) and rearrange it to obtain diameter of the evaporator flow channel. m ˙ 1 = ( π d 2 4 ) V 1 v 1 m ˙ 1 = π d 2 V 1 4 v 1 d 2 = 4 m ˙ 1 v 1 π V 1 d = 4 m ˙ 1 v 1 π V 1 (III) The refrigerant enters in to the evaporator with the quality of the 20%. Write the formula for inlet specific volume of the refrigerant with the consideration of its quality. v 1 = v f1 + x 1 ( v g1 − v f1 ) (IV) Here, the specific volume of refrigerant at fluid condition is v f , the quality of the refrigerant is x and the specific volume of refrigerant at gaseous condition is v g . The suffix 1 indicates the inlet state. Refer Table A-10, “Properties of saturated refrigerant 134a (Liquid-Vapor): Temperature table”. The specific volume at fluid condition ( v f ) corresponding to the temperature of − 4 ° C is 0.7644 × 10 − 3 m 3 /kg and the specific volume at gaseous condition ( v g ) corresponding to the temperature of − 4 ° C is 0 (b) To determine The velocity of the refrigerant at exit, in m/s .

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 18P

(a)

To determine

The diameter of the flow channel, in cm.

(b)

To determine

The velocity of the refrigerant at exit, in m/s.

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Chapter 4.12, Problem 17P

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The diameter of the flow channel, in cm .

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The diameter of the flow channel, in cm.

The velocity of the refrigerant at exit, in m/s.

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