Thermal stability of solid and hollow squire cylinders
type: Item
instance of: scholarly article
title: Thermal stability of solid and hollow squire cylinders
zbMATH Open document ID: 0581.73119
DOI: 10.1016/0016-0032(85)90033-X
author: B. George
published in: Journal of the Franklin Institute
publication date: 1985-01-01T00:00:00Z
review text: Squire's study of thermal stability of a solid infinite cylinder with temperature-sensitive internal heat generation is extended to a hollow infinite cylinder, subject to combinations of four commonly encountered boundary conditions. The results of these analyses indicate that the critical parameter for thermal viability is critically dependent on the cylinder size, the convective heat transfer coefficient and other constants accrued from the cylinder environment. In certain situations, such as a frigid climate, a hollow Squire cylinder is thermally viable only if it is thicker than a critical thickness.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 3930532
zbMATH Keywords: thermal stability
zbMATH Keywords: solid infinite cylinder
zbMATH Keywords: temperature-sensitive internal heat generation
zbMATH Keywords: hollow infinite cylinder
zbMATH Keywords: combinations of four commonly encountered boundary conditions
zbMATH Keywords: critical parameter for thermal viability
zbMATH Keywords: critically dependent on the cylinder size
zbMATH Keywords: convective heat transfer coefficient
zbMATH Keywords: other constants
zbMATH Keywords: hollow Squire cylinder
MaRDI profile type: Publication
full work available at URL: 0016-0032(85)90033-x
OpenAlex ID: W2051546094
description: scientific article; zbMATH DE number 3930532