A one-dimensional slab of thickness 2L is initially at a uniform temperature T_i. Suddenly, electric current is passed through the slab causing a uniform volumetric heating q (W/m³). At the same time, both outer surfaces (x = ± L) are subjected to a convection process at T_∝ with a heat transfer coefficient h.

Write the finite-difference equation expressing conservation of energy for node 0 located on the outer surface at x = - L. Rearrange your equation and identify any important dimensionless coefficients.

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5 sin 24 = 273 + To, (K) 0<1<12h ) T, o(K) = 273 + 11 sin 24 12