Current Attempt in Progress

A plane wall of length $L=0\mathrm{.}4m$ and a thermal conductivity $k=1\frac{W}{m}*K$ has a temperature distribution of

$T(x)=200-200x+30x^2$

At $x=0,T_{s,0}=200C,$ and at $x=L,T_{s,L}=147\mathrm{.}5C.$ Find the surface heat rates and the rate of change of wall energy storage per

unit area. Calculate the convective heat transfer coefficient if the ambient temperature on the cold side of the wall is $100C.$

Step $1$

What is the heat flux in at $x=0,$ in $\frac{W}{m^2}?$

$q_{in}^{\text{'}\text{'}}=,\frac{W}{m^2}$

Attempts: $0$ of $5$ used