Semi-analytical solution for heat transfer from a buried pipe with convection on the exposed surface

摘要: Abstract The problem of heat transfer from a constant-wall-temperature pipe buried in semi-infinite solid medium with plane surface exposed to fluid flow is solved semi-analytically. Using conformal mapping, the original physical domain transformed into finite rectangular domain. A singular Fredholm integral equation second kind derived and numerically find temperature distribution for solid. total flux Q expressed by modifying conventional expression Q=kSΔT Q=ηkSΔT, where S conduction shape factor, k thermal conductivity solid, ΔT represents difference between wall surrounding fluid. panel efficiency η maximum are presented terms Biot number geometric parameter, L/D.