NONSTATIONARY AXISYMMETRIC TEMPERATURE FIELD IN A TWO-LAYER SLAB UNDER MIXED HEATING CONDITIONS

With the use of the Laguerre and Hankel integral transforms, the solution of a two-dimensional initial-boundary-value heat conduction problem for a two-layer slab under mixed boundary conditions is constructed: one of the surfaces is heated by a heat fl ux distributed axisymmetrically in a circle of radius R and is cooled by the Newton law outside this circle. The solution of the problem is reduced to a sequence of infi nite quasi-regular systems of algebraic equations. The results of numerical analysis of the temperature fi eld in the two-layer slab made from an aluminum alloy and ceramics are presented depending on the relative geometric properties of the components and cooling intensity.
   
Author:  I. N. Turchin, I. Timar, and Yu. A. Kolodii
Keywords:  nonstationary heat conduction, mixed boundary conditions, inhomogeneous body, Laguerre polynomials, paired integral equations
Page:  1135