3.5 In a simple constant pressure gas turbine cycle with maximum to minimum temperature ratio ß and turbine and compressor efficiencies of n, and respectively, prove that Maximum specific work output -(√BneNT -1)² CpT₁ nc (b) The thermal efficiency at maximum output is (√BneNT − 1)² - (B−1)nc - (√ßncnr − 1) - (c) Determine the values in (a) and (b) for temperature ratios of 2, 3, 4, and 5 and plot them against temperature ratio. Take nc = 75% and 1= 80% for all values of temperat- ure ratio. Ans. (wp)/(cp T₁) = 0.012, 0.156, 0.402 and 0.715. 17th = 1.37%, 10.1%, 17.7% and 23.6%.
3.5 In a simple constant pressure gas turbine cycle with maximum to minimum temperature ratio ß and turbine and compressor efficiencies of n, and respectively, prove that Maximum specific work output -(√BneNT -1)² CpT₁ nc (b) The thermal efficiency at maximum output is (√BneNT − 1)² - (B−1)nc - (√ßncnr − 1) - (c) Determine the values in (a) and (b) for temperature ratios of 2, 3, 4, and 5 and plot them against temperature ratio. Take nc = 75% and 1= 80% for all values of temperat- ure ratio. Ans. (wp)/(cp T₁) = 0.012, 0.156, 0.402 and 0.715. 17th = 1.37%, 10.1%, 17.7% and 23.6%.
Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Transcribed Image Text:3.5 In a simple constant pressure gas turbine cycle with maximum to
minimum temperature ratio ß and turbine and compressor
efficiencies of n, and no respectively, prove that
Maximum specific work output
1
(a)
-(√ßncnt - 1)²
CpT₁
ne
(b) The thermal efficiency at maximum output is
(√BneNT - 1)²
(B −1)nc - (√ßncnt − 1)
(c) Determine the values in (a) and (b) for temperature ratios of 2,
3, 4, and 5 and plot them against temperature ratio.
Take nc = 75% and 1= 80% for all values of temperat-
ure ratio.
Ans. (wp)/(cp T₁) = 0.012, 0.156, 0.402 and 0.715.
1th 1.37%, 10.1%, 17.7% and 23.6%.
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