One hundred electrical components, each dissipating 25 W, are attached to one surface of a square (0.2 m x 0.2 m) copper plate, and all the dissipated energy is transferred to water in parallel flow over the opposite surface. A protuberance at the leading edge of the plate acts to trip the boundary layer, and the plate itself may be assumed to be isothermal. The water velocity and temperature are u_{\infty } = 2 m/s and T_{\infty } = 17o C, and the water's thermophysical properties may be approximated as \nu = 0.96 x 10-6 m2/s, k = 0.620 W/m\cdotk, and Pr = 5.2.

(a) What is the temperature of the copper plate?

(b) If each component has a plate contact surface area of 1 cm2 and the corresponding contact resistance is 2 x 10-4 m2*K/W, what is the component temperature? Neglect the temperature variation across the thickness of the copper plate