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Thermodynamics filled in class notes_Part_21

# Thermodynamics filled in class notes_Part_21 - 49 2.5...

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2.5. BRAYTON 49 So the thermal efficiency is η = w t + w c q H , (2.287) η = R ( T 3 T 1 ) ln P 2 P 1 c P ( T 3 T 1 ) + RT 3 ln P 2 P 1 , (2.288) = parenleftBig 1 T 1 T 3 parenrightBig ln P 2 P 1 k k 1 parenleftBig 1 T 1 T 3 parenrightBig + ln P 2 P 1 , (2.289) = parenleftBig 1 T 1 T 3 parenrightBig ln parenleftBig P 2 P 1 parenrightBig ( k 1) /k parenleftBig 1 T 1 T 3 parenrightBig + ln parenleftBig P 2 P 1 parenrightBig ( k 1) /k , (2.290) = parenleftbigg 1 T 1 T 3 parenrightbigg 1 1 + 1 T 1 T 3 ln P 2 P 1 ( k 1) /k , (2.291) parenleftbigg 1 T 1 T 3 parenrightbigg bracehtipupleft bracehtipdownrightbracehtipdownleft bracehtipupright Carnot 1 1 T 1 T 3 ln parenleftBig P 2 P 1 parenrightBig ( k 1) /k + ... bracehtipupleft bracehtipdownrightbracehtipdownleft bracehtipupright correction . (2.292) This is expressed as a Carnot efficiency modified by a correction which degrades the efficiency.

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Thermodynamics filled in class notes_Part_21 - 49 2.5...

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