How do you calculate heat flux through a piece of metal?

[Con?used]

How do you calculate heat flux through a piece of metal??

Hello,
I need to calculate heat flux in W/m2 through a small cylindrical steel bar measuring 12mm length x 2mm diameter. At one end of the bar the temperature is 31C (the heated side) and at the other end it's 28C.

How do I calculate the heat flux in the above scenario? Is it possible? I'm guessing that I need to know the thermal conductivity of the steel at least?

Any assistance would be much appreciated.
Many Thanks

 

[Mapes]

Hi Con?used, welcome to PF!

You do indeed need to know the thermal conductivity. The heat flux q is given by Fourier's Law:

q=-k\frac{dT}{dx}=-k\frac{T_2-T_1}{\Delta x}

where k is the thermal conductivity. Does this answer your question?

 

[Con?used]

Thanks Mapes