Turbines, Compressors, ExpandersCogeneration is often used

Chapter 4, Problem 86HP

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QUESTION:

Problem 86HP

Turbines, Compressors, Expanders

Cogeneration is often used where a steam supply is needed for industrial process energy. Assume that a supply of 5 kg/s steam at 0.5 MPa is needed. Rather than generating this from a pump and boiler, the setup in Fig. P4.86 is used to extract the supply from the high-pressure turbine. Find the power the turbine now cogenerates in this process.

FIGURE P4.86

Questions & Answers

QUESTION:

Problem 86HP

Turbines, Compressors, Expanders

Cogeneration is often used where a steam supply is needed for industrial process energy. Assume that a supply of 5 kg/s steam at 0.5 MPa is needed. Rather than generating this from a pump and boiler, the setup in Fig. P4.86 is used to extract the supply from the high-pressure turbine. Find the power the turbine now cogenerates in this process.

FIGURE P4.86

ANSWER:

Solution 86 HP:

Step 1 of 3:-

Here we have to find the power cogenerated by the turbine in the given process.

The mass flow rate of steam is,

.

The required pressure is, .

By the adiabatic approximation,

.

The continuity equation is,

.

The energy equation can be written as,

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