Solution of heat flow problems for a locally nonlinear medium
Abstract
The paper considers steady heat flow problems where the thermal conductivity coefficient of the medium depends on the temperature in two domains of the surface, while on these two domains there are defined boundary conditions of the first kind, homogeneous boundary conditions of the second kind, or a combination of these conditions. A localstructure approach to the solution of these problems is proposed, consisting in setting up a solution structure in each of the two domains such that the boundary conditions on the surface of the region consisting of the union of the two domains and the nonlinear conjugacy conditions on the surface of contact between the two domains are satisfied exactly. The structure of the boundary value problem is set up for the case of a composite hollow infinite cylinder consisting of two hollow infinite cylinders.
 Publication:

Akademiia Nauk Ukrains koi RSR Dopovidi Seriia Fiziko Matematichni ta Tekhnichni Nauki
 Pub Date:
 May 1976
 Bibcode:
 1976DoUkr......470S
 Keywords:

 Boundary Value Problems;
 Conductive Heat Transfer;
 Cylindrical Shells;
 Heat Transfer Coefficients;
 Temperature Distribution;
 Boundary Conditions;
 Chebyshev Approximation;
 Legendre Functions;
 Fluid Mechanics and Heat Transfer