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

 
see the original item page
in the repository's web site and access all digital files if the item*
share




1996 (EN)

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

Antonopoulos, KA (EN)
Tzivanidis, C (EN)

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)

journalArticle (EN)

Thermal diffusion (EN)
Heat Conduction (EN)
Thermal Properties (EN)
Boundary value problems (EN)
Variable separation method (EN)
Boundary conditions (EN)
Heat conduction (EN)
Heat convection (EN)
Specific heat (EN)
Density (specific gravity) (EN)
Analytic Solution (EN)
Thermal effects (EN)
Mechanics (EN)
Problem solving (EN)
Thermal conductivity (EN)
Boundary Value Problem (EN)
Eigenvalues and eigenfunctions (EN)
Orthogonal function expansion (EN)
Separation of Variables (EN)
Heat transfer coefficients (EN)
Boundary Condition (EN)


Acta Mechanica (EN)

English

1996 (EN)

0001-5970 (EN)
78 (EN)
10.1007/BF01410508 (EN)
118 (EN)
1-4 (EN)
ISI:A1996VK84400006 (EN)
65 (EN)

SPRINGER-VERLAG WIEN (EN)




*Institutions are responsible for keeping their URLs functional (digital file, item page in repository site)