Numerical Methods for Temperature Field about Random Heat Source Model of Ground Source Heat Pump

Abstract

On basis of stochastic analysis method and finite element numerical theory, the paper which considered the conditions of random heat source did research into the temperature field of underground heat transfer. The analysis of heat transfer random factors about ground source heat pump buried pipe, establishment of general model about rock-soil random heat transfer, presentation of finite element equations about random temperature field as well as statistical regularity of space and time about temperature field are covered in this paper. The numerical simulation of given model has been realized with computer utilized. The research shows that the effect which ground source heat pump random heat source has on the temperature field of ground source heat pump is random obviously, which gives an important theoretical method to the analysis of mean value about the temperature field of heat transfer, the discrete analysis, as well as the design of ground source heat pump buried pipe. The engineering case shows that random effect of buried pipe heat transfer about ground source heat pump cannot be neglected.