Aplane wall of thickness 0.1 m and thermal conductivity 25 w/m·k having uniform volumetric heat generation of 0.3 mw/m3 is insulated on one side, while the other side is exposed to a fluid at 32°c. the convection heat transfer coefficient between the wall and the fluid is 500 w/m2·k. determine the maximum temperature in the wall.

The maximum temperature is 212 °C.

Explanation:

Heat generation ,q

Heat flux

We know that total heat = heat flux x area

Q= 30 KW A

The maximum temperature will be at the insulated surface because fro insulated surface does not allow  to flow the heat.

The total thermal resistance

Heat transfer Q

Q=ΔT/R

Lets take temperature at insulated side is T

T= 180 + 32

T=212 °C.

So the maximum temperature is 212 °C.

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answer:

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