Solution of the unsteady-state heat conduction problem for a two- dimensional region with a moving boundary
type: Item
instance of: scholarly article
title: Solution of the unsteady-state heat conduction problem for a two- dimensional region with a moving boundary
zbMATH Open document ID: 0654.73006
DOI: 10.1016/0017-9310(87)90159-1
published in: International Journal of Heat and Mass Transfer
publication date: 1987-01-01T00:00:00Z
review text: With the use of the convolution-type functional a variational description is given for the process of unsteady-state heat conduction with the first-kind boundary conditions for a two-dimensional region whose boundary moves in time according to the familiar arbitrary law. Based on the Galerkin-Kantorovich method, a corresponding system of Euler equations is written, the solution of which (numerical or analytical) is required to determine the temperature field in each specific case. As an example, the first and second analytic approximations to the solution of the above problem are obtained for the case of the deformation of a prism having initially a circular cross-section.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 4068376
zbMATH Keywords: moving boundary
zbMATH Keywords: convolution-type functional
zbMATH Keywords: variational description
zbMATH Keywords: unsteady-state heat conduction
zbMATH Keywords: first-kind boundary conditions
zbMATH Keywords: two- dimensional region
zbMATH Keywords: Galerkin-Kantorovich method
zbMATH Keywords: Euler equations
zbMATH Keywords: second analytic approximations
zbMATH Keywords: deformation of a prism
author: N. M. Tsirel'man
author: A. V. Zhiber
MaRDI profile type: Publication
full work available at URL: 0017-9310(87)90159-1
OpenAlex ID: W2073199731
description: scientific article; zbMATH DE number 4068376