The problem of heat transfer from a constant-wall-temperature pipe buried in a semi-infinite solid medium with a plane surface exposed to a fluid flow is solved semi-analytically. Using a conformal mapping, the original semi-infinite physical domain is transformed into a finite rectangular domain. A singular Fredholm integral equation of the second kind is derived and solved numerically to find the temperature distribution for the solid. The total heat flux Q from the exposed surface is expressed by modifying the conventional expression Q=kS Delta T to Q= eta kS Delta T, where S is the conduction shape factor, k is the thermal conductivity of the solid, and Delta T represents the temperature difference between the pipe wall and the surrounding fluid. The panel efficiency eta and maximum surface temperature are presented in terms of the Biot number and a geometric parameter, L/D.
Semi-analytical solution for heat transfer from a buried pipe with convection on the exposed surface
International Journal of Heat and Mass Transfer ; 42 , 20 ; 3771-3786
1999
16 Seiten, 14 Quellen
Aufsatz (Zeitschrift)
Englisch
Coupled heat and mass transfer from a buried pipe
AIAA | 1997
|Effects of backfill on heat transfer from a buried pipe
Tema Archiv | 2005
|Analytical design method helps prevent buried pipe upheaval
Tema Archiv | 1992
|