Answered: b) For a simple Rankine cycle (10…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

b) For a simple Rankine cycle (10 points)
1- If there were no superheat in the cycle, how many properties are required to solve the cycle?
2- If there is superheat in the cycle, how many properties are required to solve the cycle

Expert Solution

Step 1 No superheat in the cycle

For a simple Rankine cycle

1) If there were, how many properties are required to solve the cycle

$Process 1 - 4 is constant pressure at P 1 h_{1} = h_{g @ p 1} and s_{1} = s_{g @ p 1} Process 2 - 3 is constant pressure at P 2 h_{3} = h_{f @ p 2} Dryness fraction, x = \frac{(s_{1} - s_{3})}{(s_{g} - s_{3})} Therefore, h_{2} = h_{f} + x h_{fg} Turbine work W_{T} = h_{1} - h_{2} Pump work W_{p} = - ν dp = h_{3} - h_{4} Heat supplied Q_{s} = h_{1} - h_{4}$

So only 2 pressure value P1 and P2 are sufficient to determine the value the cycles.

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