A Mathematical Model for the Temperature Field in the Absorber of a New Type Solar Collector

Abstract

The temperature field problem described in the paper is analytically solved for the absorber of a new type solar collector. The absorber consists of two plates, one of them being flat and placed on top of the other plate made with a square profile. The temperature field is calculated for four areas using the Laplace equation under stationary conditions. For each area the boundary conditions are written and the Laplace equation solved. The resultant temperature fields are found for each area separately.

Cross-sectional temperature field of a solar collector’s absorber in the case of annular pipe

“…in cloudy weather). The temperature has also been found for a square-pipe absorber [7] as more technological in design.In the present work, the final temperature field model is proposed for the absorber of a round-pipe collector. As distinguished from [1], in this work the temperature of liquid is assumed to be constant over the entire pipe cross-section.…”

“…in cloudy weather). The temperature has also been found for a square-pipe absorber [7] as more technological in design.…”

“…In households, solar collectors are finding ever increasing use for hot water preparation. Although the design of solar collectors is relatively simple, the authors over many years concentrate attention on modelling the cross-sectional temperature field of the solar collector's absorber [1][2][3][4][5][6][7].In solving the cross-sectional temperature field for an annular pipe [1], the periodical cross-sectional domain is divided into three sub-domains where the first sub-domain is the plate between pipes, the second -a pipe's wall, and the third -the liquid; as a result, the temperature field expressions have been obtained for all the three sub-domains. In works [2, 3] the temperature fields obtained were simplified.…”

“…In households, solar collectors are finding ever increasing use for hot water preparation. Although the design of solar collectors is relatively simple, the authors over many years concentrate attention on modelling the cross-sectional temperature field of the solar collector's absorber [1][2][3][4][5][6][7].…”