An electrical cable, experiencing uniform volumetric generation , is half buried in an insulating material while the upper surface is exposed to a convection process (T∞, h).
(a) Derive the explicit, finite-difference equations for an interior node (m, n), the center node (m = 0), and the outer surface nodes (M, n) for the convection and insulated boundaries.
(b) Obtain the stability criterion for each of the finitedifference equations. Identify the most restrictive criterion.