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Chapter 9, Problem 99C

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QUESTION:

A gas turbine for an automobile is designed with a regenerator. Air enters the compressor of this engine at  and . The compressor pressure ratio is 10; the maximum cycle temperature is ; and the cold air stream leaves the regenerator  cooler than the hot air stream at the inlet of the regenerator. Assuming both the compressor and the turbine to be isentropic, determine the rates of heat addition and rejection for this cycle when it produces . Use constant specific heats at room temperature.

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QUESTION:

A gas turbine for an automobile is designed with a regenerator. Air enters the compressor of this engine at  and . The compressor pressure ratio is 10; the maximum cycle temperature is ; and the cold air stream leaves the regenerator  cooler than the hot air stream at the inlet of the regenerator. Assuming both the compressor and the turbine to be isentropic, determine the rates of heat addition and rejection for this cycle when it produces . Use constant specific heats at room temperature.

ANSWER:

Step 1 of 7

A Brayton cycle with regeneration produces  power.Refer to figure below.

The rates of heat addition and rejection are to be determined.assumptions are

1. The air standard assumptions are applicable.

2. Air is an ideal gas with constant specific heats at room temperature.

3. Kinetic and potential energy changes are negligible.

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