The cold plate design of .82 has not been opti-mized with

Chapter 8, Problem 8.83

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The cold plate design of 8.82 has not been opti-mized with respect to selection of the channel width, andwe wish to explore conditions for which the rate of heattransfer may be enhanced. Assume that the width andheight of the copper cold plate are fixed at W?100 mm and H?10 mm, while the channel height and spacingbetween channels are fixed at h?6 mm and ??4mm.The mean velocity and inlet temperature of the water aremaintained at um?2 m/s and Tm,i?300 K, while equiv-alent heat- generating systems attached to the top and bot-tom of the cold plate maintain the corresponding surfacesat 360 K. Evaluate the effect of changing the channelwidth, and hence the number of channels, on the rate ofheat transfer to the cold plate. Include consideration of thelimiting case for which w9? 6 mm (one channel).