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- Article name
- Sweep method in space problems of unsteady heat conduction for anisotropic mediums
- Authors
- KARIMBAYEV T. D., , Karambayev@ciam.ru, Central Institute of Aviation Motors by name P. I. Baranov, Moscow, Russia
RAPILBEKOVA N. S., , aidasher@mail.ru, Taraz State Pedagogical University, Taraz, Republic Kazachstan
- Keywords
- anisotropic body / composite materials / unsteady heat conduction / right and reverse sweep method / block matrix / matrix inversion
- Year
- 2009 Issue 4 Pages 3 - 16
- Code EDN
- Code DOI
- Abstract
- The medium with anisotropic mechanical and thermo-physical characteristics is continual model of composite materials. The researches of thermal flows in anisotropic medium on the basis of one and two dimensional approaches are not sufficient. In this connection the right and reverse sweep method of numerical solution of one and two dimensional problems of unsteady heat conduction is generalized on three dimensional nonlinear temperature problems for anisotropic bodies. The problem is reduced to solution of equation system with coefficients in the form of block quadratic matrix relatively vectors with vector arguments. The rational method of matrix inversion with taking into consideration their features is developed and used. Results of test problem solution are given and discussed.
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