Considering needs of the temperature dependence of a thermal conductivity coefficient at simulating thermal conduction tasks

Abstract

This paper examines the implications of one of the simplifications used in thermal conductivity calculations. In the most cases, during the simplification of the thermal conductivity calculations, constant values are used as the thermal conductivity coefficient. Therefore, error occurs in the calculation results, which depends on the used substance, the state of the substance, and the size of the test temperature range. Firstly, in the content of the study, possibilities of error minimization and approximate calculation methods as solutions will be discussed. Then, given solutions will be examined through an example of the thermal conductivity calculation of air in a given sample room. The obtained results will be confirmed that, it is necessary counting with the temperature dependence when the temperature range is over then a specified range. By implementing the correlations in a self-developed thermal conduction simulation program, it was observed that, the cycle time of the program increases. Rate of increase was dependent on the function is used and how it was implemented. Based on the obtained results, a recommendation will be given at the end of the article, as to which method can be used in heat conduction simulations to reach the expected calculation error(s) and to maximize the allowable cycle time increase. Based on the above-mentioned content, this study will examine the temperature dependence of the thermal conductivity coefficient. It either describes a not mentioned function which is already built into the simulations or draws attention to a factor, that is neglected but greatly influences the calculations.