A large condenser (heat exchanger) in a power plant must

Chapter 3, Problem 63HP

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QUESTION:

Problem 63HP

A large condenser (heat exchanger) in a power plant must transfer a total of 100 MW from steam running in a pipe to seawater being pumped through the heat exchanger. Assume that the wall separating the steam and seawater is 4 mm of steel, with conductivity of 15 W/m K, and that a maximum 5°C difference between the two fluids is allowed in the design. Find the required minimum area for the heat transfer, neglecting any convective heat transfer in the flows.

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QUESTION:

Problem 63HP

A large condenser (heat exchanger) in a power plant must transfer a total of 100 MW from steam running in a pipe to seawater being pumped through the heat exchanger. Assume that the wall separating the steam and seawater is 4 mm of steel, with conductivity of 15 W/m K, and that a maximum 5°C difference between the two fluids is allowed in the design. Find the required minimum area for the heat transfer, neglecting any convective heat transfer in the flows.

ANSWER:

Solution 63 HP:

Step 1 of 2:-

Here we have to find the minimum required area for the heat transfer.

The total heat transfer is given as,

The thickness of the wall is,

.

The conductivity is given as,

.

But we know that, the coefficient of heat transfer can be written as,

The temperature difference is given as,

.

This is because the temperature difference in celsius and kelvin scale is same.

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