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This work establishes a closed-form analysis for two-dimensional transientheat transfer in an absorber plate based on the thermal wave model when thecollector starts to work. The method of separation of variables is employed todetermine the exact thermal response during the starting of a solar collector.The thermal field is represented by 2-D thermal contours and 3-D surface plotsto provide an accurate prediction compared to the 1-D analysis using thetime-lag theory. An influence of Fourier number on the heat flow in theabsorber plate is studied for different thermal relaxation times. The presentanalysis highlights that the magnitude of plate temperature dependssignificantly on the physical geometry. Differences in two models of heatpropagation, viz. classical and thermal wave, in the absorber plate have analteration in predicted collector performances. The present study also developsanother design situation for heat transfer in the absorber plate when thecollector shutdowns to the ambient state from its steady condition. LaplaceTransform Method (LTM) in combination with the product solution method uses todetermine the temperature with the initial condition represented as a steadycase. Due to the lagging nature of thermal behavior, a significant differencebetween the classical and thermal wave models for the propagation of heat wasobserved, and also this study determines the exact time to be taken to reachthe dead state for the complete shutdown of the collector.

Appropriate transient thermal analysis of an absorber plate in flat-plate solar collectors from beginning to end operational conditions