Problem of the Week

July 11, 2020 to July 18, 2020

There's a heat source right below the surface of the earth generating J joules of heat per second; assume any distance below the Earth. Assume that inside the earth heat flow is proportional to ∇T with a constant K and above the earth there is no heat flow. What's the temperature at the surface of the earth?

I enjoyed this problem:

Solution

See here.

Past Problem of the Weeks

Current Problem of the Week