Optimal algorithm of mean radiant temperature in mine roadway based on Monte Carlo method

Abstract

With the shallow deposit resources decreasing, the mining depth gradually increases, resulting in more and more high-temperature mines with heat damage. The mean radiant temperature is taken as an important parameter to calculate and evaluate the thermal comfort in high-temperature mine roadway. Therefore, it is necessary to study and optimize the calculation method of mean radiant temperature. The calculation method of mean radiant temperature in mine roadway as an open space is significantly different from that in a closed space. Herein, a modified algorithm of mean radiant temperature in an open space is put forward based on the normalization principle in combination with the geometric characteristics and radiation conditions in mine roadway. In order to optimize the calculation process of the modified algorithm, this paper also proposes a numerical algorithm for the radiation angle coefficient of roadway wall to human body surface on the basis of Monte Carlo method. Moreover, the numerical algorithm accuracy is verified by the contrastive analysis between numerical solutions and theoretical solutions. The verification results show that when the number of energy beams reaches up to 5 million, the maximum error between the theoretical solution and the numerical solution of the radiation angle coefficient is only 0.13%.