How can I calculate the temperature of a body between two thermal reservoirs?

[Noahfoose]

If I know the temperatures of the two thermal reservoirs (one hot, one cold), the area of contact between each reservoir and the body, and the coefficients of conduction, it seems like I should be able to calculate the equilibrium temperature of the body, but I can't seem to figure out how.

 

[DrClaude]

Look up Fourier's law.

 

[Noahfoose]

Thanks for the tip! I've been looking through that wikipedia page and some information on thermopedia but I'm still a little lost on how I can use that law to determine the temperature of the object

 

[DrClaude]

You need to figure out the steady state, where heat entering the system from the hot reservoir equals heat leaving the system to the cold reservoir.

 

[Chestermiller]

The temperature is not going to be uniform. It is going to vary monotonically from the high temperature end to the low temperature end.

Chet

 

[DrClaude]

The temperature is not going to be uniform. It is going to vary monotonically from the high temperature end to the low temperature end.

Chet

Right. I should've mentionned that I was assuming internal equilibrium. Otherwise, you need to solve the heat equation.