Aplane wall of thickness 0.1 mm 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 92 oc. 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 90.06° C

Explanation:

Given that

t= 0.1 mm

Heat generation

Heat transfer coefficient

Here one side(left side) of the wall is insulated so the all heat will goes in to right side .

The maximum temperature will at the left side.

Lets take maximum temperature is T

Total heat flux ,q

So the total thermal resistance per unit area

R=0.002 K/W

We know that

q=ΔT/R

30=(T-90)/0.002

T=90.06° C

The maximum temperature is 90.06° C

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