Answer:
The maximum temperature is 212 °C.
Explanation:
Heat generation ,q
[tex]q=0.3\ MW/m^3[/tex]
Heat flux
[tex]q"=0.3\times 0.1 MW/m^2[/tex]
[tex]q"=0.03 MW/m^2[/tex]
[tex]q"=30 KW/m^2[/tex]
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
[tex]R=\dfrac{L}{KA}+\dfrac{1}{hA}[/tex]
[tex]R=\dfrac{0.1}{25A}+\dfrac{1}{500A}[/tex]
[tex]R=\dfrac{0.006}{A}[/tex]
Heat transfer Q
Q=ΔT/R
Lets take temperature at insulated side is T
[tex]30\times 1000 A=\dfrac{T-32}{\dfrac{0.006}{A}}[/tex]
[tex]30\times 1000 =\dfrac{T-32}{0.006}[/tex]
T= 180 + 32
T=212 °C.
So the maximum temperature is 212 °C.
