A solar water heater consists of a flat-plate

Chapter 9, Problem 9.98

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A solar water heater consists of a flat-plate collectorthat is coupled to a storage tank. The collector consistsof a transparent cover plate and an absorber plate thatare separated by an air gap.Although much of the solar energy collected by theabsorber plate is transferred to a working fluid passingthrough a coiled tube brazed to the back of the absorber,some of the energy is lost by free convection and netradiation transfer across the air gap. In Chapter 13, wewill evaluate the contribution of radiation exchange tothis loss. For now, we restrict our attention to the freeconvection effect.(a) Consider a collector that is inclined at an angle of??60?and has dimensions of H?w?2 m on aside, with an air gap of L?30 mm. If the absorberand cover plates are at T1?70?C and T2?30?C,respectively, what is the rate of heat transfer by freeconvection from the absorber plate?(b) The heat loss by free convection depends on the spac-ing between the plates. Compute and plot the heatloss as a function of spacing for 5L50 mm. Isthere an optimum spacing?

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