Temperature field of an infinite plate in the case of a variable heat-exchange coefficient

1969 ◽  
Vol 16 (1) ◽  
pp. 95-97 ◽  
Author(s):  
V. N. Kozlov

Determination of heat exchange between a solid and the environment is a significant inverse thermal physical problem. This heat exchange law irrespective of its nature can be defined easier if mean temperature of such solid is known. When mean temperature of the solid and speed of its change are known, it becomes possible to determine heat flow on the boundary of the solid. In its turn, when heat flow on the boundary, temperature on the boundary and ambient temperature are defined, heat exchange coefficient can be established. Therefore, the main attention is paid to a manner how mean temperature of a solid can be determined in the article. Examining inverse heat transfer problems, input data consist of measurements taken in temperature field as simple as possible mathematically in laboratory conditions. Hence, a symmetrical one-dimensional temperature field is discussed in the article


1982 ◽  
Vol 13 (2) ◽  
pp. 65-78
Author(s):  
Ole Stang

In order to be able to predict water temperatures in rivers which are to be harnessed for hydro power, it is essential to take into account the heat exchange with the atmosphere. It is often sufficient to predict average temperatures and temperature changes for periods of some days. A simple model for the heat exchange between flowing water and atmosphere has been developed for this purpose. The model offers a semi-empirical relationship between air temperature and water temperature. In this paper the model is applied to the Orkla river in Central Norway, and it is demonstrated how analyses of diurnal variations of water and air temperatures make it possible to predict the downstream decay of temperature changes originating from man-made releases. As a result an average heat exchange coefficient is calculated for Orkla for the summer of 1980. This calculation indicates that the cooling/heating rate in the flowing water in Orkla is considerably greater than the one for lakes under the same meteorological conditions.


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