Q3) Consider the two-dimensional grid, with equidistant representing steady-state nodes, conditions for the system shown on the right. The material (thermal conductivity, k) experiences Insulation uniform volumetric energy generation (W/m). The top surface is subjected to a constant and uniform heat flux q." (W/m). Insulated surfaces are shown, while the other three surfaces are exposed to convection with a fluid at T and a convection coefficient of h. a) Derive the finite-difference equations for nodes 1, 2, and 3. b) Applying an energy balance to the whole system, determine the convection heat transfer rate per unit depth to the fluid. Ax 3 CO 2 q R 5 7 9" -AX 1 LO Too, h