Stationary boundary value problem of heat conduction for thin cylindrically isotropic ring plates
type: Item
instance of: scholarly article
zbMATH Open document ID: 0977.80005
author: A. P. Gromyk
publication date: 2001-11-11T00:00:00Z
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 44A30
Mathematics Subject Classification ID: 65T50
zbMATH DE Number: 1670317
zbMATH Keywords: ring plate
zbMATH Keywords: heat conduction
zbMATH Keywords: finite Fourier transform
zbMATH Keywords: finite Hankel transform
zbMATH Keywords: explicit solution
MaRDI profile type: Publication
title: Stationary boundary value problem of heat conduction for thin cylindrically isotropic ring plates
published in: Kraĭovi Zadachi dlya Dyferentsial'nykh Rivnyan'
review text: Stationary temperature fields in a thin ring plate are studied. Linear distribution of temperature along the \(z\) coordinate is assumed: \(t(r,\varphi,z)=T_1(r,\varphi)+z\delta^{-1}T_2(r, \varphi)\), where \(\delta\) is the plate thickness. Thus the problem is reduced to two-dimensional ones for functions \(T_1\) and \(T_2\). Different variants of boundary conditions at plate boundaries are considered. The problem is solved using the finite Fourier (in angular coordinate) and the Hankel (in radial coordinate) transforms. General formulas for the Fourier coefficients of solution are presented.
description: scientific article; zbMATH DE number 1670317