Solve the below:
Q: A one-dimensional slab of thickness 2L is initially at a uniform temperature Ti. 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.
T0,∞(K)=273+5sin(2Π/24) 0<=t<=12h
T0,∞(K)=273+11sin(2Π/24) 12<=t<=24h
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.