Any additional difference in luminosity is accounted for by the temperature distribution.

As a result, typical problems with temperature distribution are eliminated.

Similar mathematical methods can be used to find the temperature distributions and heat transfer rates for other cases.

The temperature distributions and heat transfer rates can then be found for each case.

After waiting for a long time, the temperature distribution in the metal plate will approach .

We turn now to the reverse case in which the temperature distribution is the driving component.

Of course the real atmosphere does not have a temperature distribution with this exact shape.

In the case of meteorological data, we could for instance discover the temperature distribution during the winter months.

The goal is to find the temperature distribution on the top surface.

The figure below shows the temperature distribution for the numerical solution case.