Mathematical model of heat conduction in complex discrete-continuous structures

  • A. B. Kozin Odessa Institute of Land Forces, Ukraine
  • L. A. Dovnarovich Odessa Institute of Land Forces, Ukraine
  • I. A. Danilyuk Odessa Institute of Land Forces, Ukraine
  • O. B. Papkovskaya Odessa National Polytechnic University, Ukraine
Keywords: thermal calculations, boundary value problem, heat conduction, plate, curvilinear inhomogeneity, approximate solution, orthogonal polynomials, quasi-regularity

Abstract

A methodology is proposed for solving discrete-continuous boundary problems to perform accurate thermal calculations in irregular and composite media. The approach is based on solving a two-dimensional heat conduction problem with arbitrarily arranged non-intersecting curvilinear inhomogeneities (defects) of general type. The proposed methodology makes it possible to effectively study thermal processes in complex discrete-continuous structures with high accuracy without significant computer resource expenditures.

Published
2004-02-29
How to Cite
Kozin, A. B., Dovnarovich, L. A., Danilyuk, I. A., & Papkovskaya, O. B. (2004). Mathematical model of heat conduction in complex discrete-continuous structures. Technology and Design in Electronic Equipment, (1), 30-35. Retrieved from https://www.tkea.com.ua/index.php/journal/article/view/TKEA2004.1.30