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ME300Lecture42

# ME300Lecture42 - Lecture 42 Brayton Cycle...

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42.1 Lecture 42: Brayton Cycle Intercooling/Reheating Two-stage Compression with Intercooling : q I air x Intercooler w c 2 y 1 1 s T 1 x t =y 2 2s x x s 2t T 1 p 2 p x p 1

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42.2 Continue Brayton Cycle with Intercooling Continue two-stage compression with intercooling : v p p 2 2t Isothermal compression pv = const p 1 p x 2s 2 Polytropic compression pv n = const 1 y x Isentropic compression pv k = const Limits: p x = p 2 savings = 0 p x = p 1 savings = 0 An optimum exits! Savings in work
42.3 Continue Brayton Cycle with Intercooling Find intermediate pressure p x to minimize work input: » For an ideal gas: C x 1 2 y y 1 x 2 C 1 y n 1 n 1 n n y 1 x 2 C 1 y y 1 y x nR nR w T T T T n 1 n 1 nRT nRT T T w 1 1 n 1 T n 1 T nRT nRT p p w 1 1 n 1 p n 1 p For an ideal intercooler: T T (ambient) p p (no pressure drop)

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42.4 Continue Brayton Cycle with Intercooling Continue two-stage compression with intercooling: n 1 n 1 n n 1 x 1 2 C 1 x n 1 n 1 n n 1 x 2 C 1 x C 1 1 2 x n 1 C 1 x x 1 nRT p nRT p w 1 1 n 1 p n 1 p nRT p p w 2 n 1 p p dw Minimum occurs at: 0 for fixed T ,p , and p : dp dw nRT p n 1 0 dp n 1 n p n 1 1 1 n n 2 2 2 1 x
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ME300Lecture42 - Lecture 42 Brayton Cycle...

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