To decrease the size of personal computer mother boards, designers have turned to a more compact method of mounting memory chips on the board. The single in-line memory modules, as they are called, essentially mount the chips on their edges so that their thin dimension is horizontal, as shown in the sketch below. For memory chips operating at 90°C, determine their maximum power dissipation if they are cooled by an air stream at 60°C and velocity of 10 m/s.
GIVEN
Computer memory chip in an air stream as shown above
Chip temperature (Ts) = 90°C
Air temperature (T∞) = 60°C
Air velocity (U∞) = 10 m/s
ASSUMPTIONS
Radiative heat transfer is negligible
Use of Equation (7.18) for a non-square surface will not introduce significant error
Heat transfer from all four edges of the chip is negligible