DIRECT (CLASSICAL) METHOD OF CALCULATION OF THE TEMPERATURE FIELD IN A HOLLOW MULTILAYER CYLINDER

A structural scheme of construction of a solution to a mixed problem for the heat-conduction equation in the case of a hollow multilayer cylinder under the conditions of ideal thermal contact between the layers is proposed and substantiated. The presence of connective heat exchange with the environment is assumed, i.e., boundary conditions of the third kind are observed. Coeffi cients of the heat-conduction equation are considered to be piecewisecontinuous as far as the space coordinate is concerned. The scheme is based on the: reduction method, concept of quasi derivatives, modcern theory of systems of linear differential equations, Fourier method, and modifi ed method of eigenfunctions. A numerical example of calculation of the temperature fi eld in an actual hollow four-layer pipeline under external-fi re conditions is given
   
Author:  R. M. Tatsii and O. Yu. Pazen
Keywords:  reduction, quasi derivative, Bessel function, Cauchy matrix, method of eigenfunctions
Page:  1373