ANALITICAL SOLUTION OF THE PROBLEM ON THE THREE-DIMENSIONAL TRANSIENT HEAT CONDUCTION IN A MULTILAYER CYLINDER

An exact analytical solution of the problem on the three-dimensional transient heat conduction in a cylinder with multiple radial layers, in which time-dependent, spatially non-uniform internal volume heat sources are installed, is presented. The transient temperature distribution in this cylinder was determined with the use of the eigenfunction expansion method. The solution obtained is valid for any combination of homogenous first- and second-kind boundary conditions in the angular and axial directions of the cylinder and for the nonhomogeneous boundary third-kind conditions in the radial direction. As a partial case, the problem on the heat conduction in a three-layer semicircular cylinder was solved

Автор:  N. Dalir, S. S. Nourazar
Ключевые слова:  heat conduction, exact analytical solution, transient problem, multiple layers
Стр:  85