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

 
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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)

N/A (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

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)
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)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Acta Mechanica (EN)

1996


SPRINGER-VERLAG WIEN (EN)



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