 Solution

ID: past-exam-of-the-year-2-of-the-earth-sciences-geology-course-of-the-university-of-oxford/2023/paper-1/10/a/ii/solution

q_{x} = - k T_{x}

k

, zero outward heat flux at both endpoints gives homogeneous Neumann boundary conditions:

T_{x} (0, t) = 0, T_{x} (L, t) = 0 .

The outward normal has opposite signs at the two ends, but a zero-flux condition gives zero derivative at each.

 New to topics? Read the docs here!