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Bounds on transient temperature distribution due to a buried cylindrical heat source

1978; Elsevier BV; Volume: 21; Issue: 6 Linguagem: Inglês

10.1016/0017-9310(78)90040-6

1879-2189

W. W. Martin, S. S. Sadhal,

Coal Combustion and Slurry Processing

Abstract The theory of differential inequalities is applied to determine upper and lower bounds on the transient temperature distribution in the region surrounding a buried cylindrical heat source of circular cross section. Solutions are obtained for a convection boundary condition on the cylindrical surface and a constant temperature on the free surface with the depth as a parameter. Use of the approximate solutions for engineering estimates of the transient heat transfer from buried pipelines is briefly discussed.