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Abstract
A solution procedure, based on the Kantorovich method, is presented for the derivation of approximate closed-form solutions for linear heat conduction problems in multilayered plane and cylindrical bodies using computers. Constant or space dependent initial conditions; linear time dependent boundary conditions of the first, second, or third kind; contact resistances between the layers; and a homogeneous distributed, time dependent volumetric heat source can be considered. The solution procedure is shown suitable for programming. In order to assess the approximate solution obtained, an error criterion is stated. The accuracy of the method is investigated through a numerical and an analytical example.
Notes
Address correspondence to W. Heidemann, Institute for Thermodynamics and Thermal Engineering, University of Stuttgart, Pfaffenwaldring 6, D-70550 Stuttgart, Germany. E-mail: heideman@ itw.uni-stuttgart.de