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## Homework Statement

In this problem there's a thin plate being heated by two constant-temperature sources. One small source is in contact with part of the plate. Another one is separated with the plate by air.

## Homework Equations

## The Attempt at a Solution

I'm using Matlab, and able to solve pure conduction problem. I use the heat equation a*dT/dt=delta

^{2}dT and five point scheme. But now significant convection is coupled into the problem when air velocity is given. I'm not sure what is the corresponding equation combining both conduction and convection, and how to write the FDM form. Can anyone help me? Thanks!