Open AccessA steady-state heat conduction problem of a nonhomogeneous conical body
Author(s) -
István Ecsedi,
Attila Baksa
Publication year - 2021
Publication title -
journal of computational and applied mechanics
Language(s) - English
Resource type - Journals
eISSN - 2732-0189
pISSN - 1586-2070
DOI - 10.32973/jcam.2021.006
Subject(s) - thermal conduction , conical surface , cylinder , cylindrical coordinate system , mechanics , thermal conductivity , polar coordinate system , coordinate system , thermal , materials science , steady state (chemistry) , solid body , geometry , physics , classical mechanics , thermodynamics , mathematics , chemistry
Numerous studies and textbooks deal with the steady-state thermal conduction of radially nonhomogeneous circular cylinder. In contrast, there are relatively few studies on the thermal conduction problems of conical solid bodies. This study is intended as a modest contribution to the solution of thermal conductance problems of nonhomogeneous conical bodies. A one-dimensional steady-state heat conduction in nonhomogeneous conical body is considered. The thermal conductivity of the hollow conical body in a suitable chosen spherical coordinate system depends on the polar angle but is independent of the radial coordinate and azimuthal angle coordinate. A functionally graded type of material inhomogeneity is considered. All results of the paper are based on Fourier’s theory of heat conduction in solid bodies.