Question: A one-dimensional slab of thickness 2 L is initially at a uniform temperature T i . Suddenly, electric current is passed through the slab causing
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.
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.
5 sin 24 = 273 + To, (K) 0
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