Structural difference approach to mathematical modeling high heat exchange processes with unsteady heat transfer on the surface of constructive elements

Authors

  • А. П. Слесаренко Institute of Mechanical Engineering University. AN Podgorny NAS of Ukraine, Ukraine
  • Ю. О. Кобринович Institute of Mechanical Engineering University. AN Podgorny NAS of Ukraine, Ukraine

Abstract

The approximate analytical solution structure of heat conduction problems first constructed, with use PS-functions that satisfy the unsteady boundary conditions at any time depends on the coefficient of heat transfer design elements and the ambient temperature. Based on them using the time and coordinates of a three-layer and five-layer difference schemes, respectively, are constructed of structural difference mathematical model of high-speed transient thermal processes. The results of solving the problem of unsteady boundary conditions are giving

Author Biography

А. П. Слесаренко, Institute of Mechanical Engineering University. AN Podgorny NAS of Ukraine

Doctor of Sciences

Published

2016-07-29

Issue

Section

Applied mathematics