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 = 100 mm and H = 10 mm, while the channel height and spacing between channels are fixed at h = 6 mm and δ = 4 mm. The mean velocity and inlet temperature of the water are maintained at um = 2 m/s and Tm,i = 300 K, while equivalent heat-generating systems attached to the top and bottom of the cold plate maintain the corresponding surfaces at 360 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 = 96 mm (one channel).