Final answer:
Heat transfer from the fin array is determined using conductive heat transfer equations, which depend on factors such as material properties, area, and temperature difference; additional assumptions include steady-state and uniform transfer.
Step-by-step explanation:
The heat transfer from the fin array can be calculated using the equation Q = kA(T₂ – T₁)/d, where Q is the heat transfer rate, k is the thermal conductivity of the material, A is the cross-sectional area through which heat is being transferred, (T₂ – T₁) is the temperature difference across the array, and d is the thickness of the slab or distance over which the heat transfer occurs. To calculate the heat transfer per volume of the fin array, divide Q by the volume. Assumptions made include steady-state conditions (no change in temperature with time), uniform heat transfer, and neglecting radiation and convection effects. The equations used are the conductive heat transfer equation and Q = mcΔT for the part involving the specific heat of the material.