A small Aluminum heat sink (kal = 200 W/m-K) with dimensions W = W = 250 mm, Lb = 1.0 mm, S = 2.0 mm, t = 1.5 mm, and L = 20 mm has a uniform maximum temperature of Th = 80C on its bottom surface. An insulating cap is placed on the top of the heat sink. Dielectric liquid is used as the coolant, entering the heat sink at Tmi = 30C and Um = 1.50 m/s. The heat transfer characteristics for the dielectric side can be represented by ly L Nu Re Pr/3 = 0.05 Re-0.30 f = 0.55 Re-0.55 [TOTAL: 15 Points] W T Determine the following: (a) The wall thermal resistance, K/W (b) The overall surface effectiveness on the water-side, (c) The heat-transfer coefficient on the dielectric side, W/m-K (d) The thermal resistance on the dielectric side, K/W (e) The overall heat transfer coefficient of the heat transfer device by considerin transfer from the bottom surface to the coolant, W/m-K (f) The heat transfer rate from the hot surface to the fluid, W (g) The required pumping power on the coolant side, in W Properties of di-electric fluid: Cp,c=1900 J/kg.K, k @the mean fluid temperature: =0.15 W/m.K, v = 20 x10 m/s, P = 900 kg/m