Analytical solution of boundary value problems of heat conduction in composite regions with arbitrary convection boundary conditions

Antonopoulos, KA; Tzivanidis, C

dc.contributor.author	Antonopoulos, KA	en
dc.contributor.author	Tzivanidis, C	en
dc.date.accessioned	2014-03-01T01:11:42Z
dc.date.available	2014-03-01T01:11:42Z
dc.date.issued	1996	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11785
dc.subject	Analytic Solution	en
dc.subject	Boundary Condition	en
dc.subject	Boundary Value Problem	en
dc.subject	Heat Conduction	en
dc.subject	Separation of Variables	en
dc.subject	Thermal Properties	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Density (specific gravity)	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Heat convection	en
dc.subject.other	Heat transfer coefficients	en
dc.subject.other	Problem solving	en
dc.subject.other	Specific heat	en
dc.subject.other	Thermal conductivity	en
dc.subject.other	Thermal diffusion	en
dc.subject.other	Thermal effects	en
dc.subject.other	Orthogonal function expansion	en
dc.subject.other	Variable separation method	en
dc.subject.other	Heat conduction	en
dc.title	Analytical solution of boundary value problems of heat conduction in composite regions with arbitrary convection boundary conditions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01410508	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01410508	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	An analytical solution is presented for nonhomogeneous, one-dimensional, transient heat conduction problems in composite regions, such as multilayer slabs, cylinders and spheres, with arbitrary convection boundary conditions on both outer surfaces. The method of solution is based on separation of variables and on orthogonal expansion of functions over multilayer regions. Similar analytical procedures are available in the literature for a variety of combinations of boundary conditions, but not including the ones considered here, although such cases are encountered in practice very often. The effect of layer thermal properties on density of eigenvalues and accuracy of solution is also examined.	en
heal.publisher	SPRINGER-VERLAG WIEN	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01410508	en
dc.identifier.isi	ISI:A1996VK84400006	en
dc.identifier.volume	118	en
dc.identifier.issue	1-4	en
dc.identifier.spage	65	en
dc.identifier.epage	78	en