Chapter 8, Problem 8.83P

The cold plate design of Problem 8.82 has not been optimized with respect to selection of the channel width, and we wish to explore conditions for which the rate of heat transfer may be enhanced. Assume that the width and height of the copper cold plate are fixed at $W=\text{1}00\text{ mm}$ and $H=\text{1}0\text{ mm}$ . while the channel height and spacing between channels are fixed at $h=\text{6 mm}$ and $\delta =4$ mm. The mean velocity and inlet temperature of the water are maintained a $u_m=2$ m/s and $T_{m,i}=300K$ . while equivalent hear-generating systems attached to the wp and bottom of the cold plate maintain the corresponding surfaces at $\text{36}0\text{ K}$ . Evaluate the effect of changing the channel width, and hence the number of channels, on the rate of heat transfer to the cold plate. Include consideration of the limiting case for which $w=\text{96 mm}$ (one channel).