Determine expressions for q_{(m1,n) → (m,n)}, q_{(m1,n) → (m,n)}, q_{(m,n1) → (m,n)} and q_{(m,n1) → (m,n)} for conduction associated with a control volume that spans two different materials. There is no contact resistance at the interface between the materials. The control volumes are L units long into the page. Write the finite difference equation under steadystate conditions for node (m, n).

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T Ay LAT (m, n+1) I +----- (m-1, n) (m, n) (m + 1, n) ₁ L- Material A i (m, n-1) j --- Material B kg