QUESTION 7multi-stage axial flow turbine, and the pressure dropAir is expanded in avery small. Assuming that air behaves as apressure-temperature relationships for the following processes:across each stage isperfect gas with ratio of specific heats y, deriveA) Reversible adiabatic expansion:B) Irreversible adiabatic expansion, with small stage efficiency np;C) Reversible expansion in which the heat loss in each stage is a constant fraction kof the enthalpy drop in that stage.

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Asked Jul 17, 2019
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QUESTION 7
multi-stage axial flow turbine, and the pressure drop
Air is expanded in a
very small. Assuming that air behaves as a
pressure-temperature relationships for the following processes:
across each stage is
perfect gas with ratio of specific heats y, derive
A) Reversible adiabatic expansion:
B) Irreversible adiabatic expansion, with small stage efficiency np;
C) Reversible expansion in which the heat loss in each stage is a constant fraction k
of the enthalpy drop in that stage.
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QUESTION 7 multi-stage axial flow turbine, and the pressure drop Air is expanded in a very small. Assuming that air behaves as a pressure-temperature relationships for the following processes: across each stage is perfect gas with ratio of specific heats y, derive A) Reversible adiabatic expansion: B) Irreversible adiabatic expansion, with small stage efficiency np; C) Reversible expansion in which the heat loss in each stage is a constant fraction k of the enthalpy drop in that stage.

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Expert Answer

Step 1

Write the basic equation of thermodynamics with ds = 0.

 

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dp -= 0 Tds dh P dp dh = (I) Write the perfect gas relation dh=c,dT (II)

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Step 2

From Equations (I) and (II),

 

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фр ес ат dp с,dт р RT RTdр с, dT р аT R dp Т СР р dт [(у-1)1( ар Т р 1-4) In Р. Т, In Т, Эt0- Р. Т, II

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Step 3

Write the basic equation of thermodynamics with Tds = 0 for a c...

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dp Tds dh = dpo dh Po

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