Simple Heat Transfer Question

[SweetDewMe]

This should be real easy, but I am reading my old heat transfer book and I can't figure it out.

I know the temp of one side of a steel plate. What is the equation to find out the temp of the other side of the steel plate, and then temperatures at given distances away from the plate. I know the temp of the air on the side of the plate in question. The air is not moving.

If someone could help me out here I'd appreciate it.

 

[Feric]

Hi there:

Check out the eFunda.com --

http://www.efunda.com

-- web site section dealing with Heat Transfer (conduction and convection).

Thanks,

Gordan Feric, PE
Engineering Software

http://members.aol.com/engware

 

[JStephen]

In fact, that doesn't sound real easy at all. If you know the heat transfer rate in the plate, you can figure other temperatures in the plate quite easily. But you don't give any indication that you know that. Air temperatures would be a bit more of a problem- could be a boundary layer problem or natural convection problem depending on flow or lack thereof.

 

[25362]

Are you trying to find the temperature of the other surface after some time, as in unsteady state heat transfer ? If this the case, use the Gurney-Lurie diagram for heating and cooling of a large slab.

 

[SweetDewMe]

Thanks for the responses. I actually was able to figure out the solution to my problem. It was more difficult than I thought it would be. But I found a section in my Heat Transfer textbook called Laminar Free Convection on a Vertical Surface, and there were some graphs and formulas for determining the temperature of air at any distance away from a vertical hot plate. The graphs were extracted from a numerical solution which was obtained by some really smart person named Ostrach. So, problem solved. Yea.