Influence of rayleigh number on the passive cooling of a heat-generating solid body

Authors

  • Hussain University of the Poonch Rawalakot
  • Korchagin Timur Ikramovich Tomsk State University
  • Miroshnichenko Igor Valerievich Tomsk State University
  • Sheremet Mikhail Alexandrovich Tomsk State University
  • Safiullin Azamat Nasykhovich Tomsk State University

Keywords:

heat-generating element, natural convection, thermal radiation, finite volume method

Abstract

A numerical study has been conducted to assess the convective heat transfer inside an enclosure containing a heat-producing element. The vertical sides of an enclosure are kept at a constant temperature, while the horizontal boundaries are thermally insulated. Heat generating element is assumed to be placed in the central part of the considered cavity. The governing system for the considered problem is tackled by adopting the control volume approach. Rayleigh number (104 < Ra < 106) and the walls emissivity (0 < eps < 1) are the governing parameters. The influence of the specified parameters on the stream function and temperature isolines, as well as the convective and radiative Nusselt numbers, are presented. Results concluded that the surface emissivity of boundaries and Rayleigh number have a considerable impact on the cooling efficiency of the heat- producing body. doi 10.33184/bulletin-bsu-2026.1.1

Author Biographies

Hussain, University of the Poonch Rawalakot

Lecturer of the Department of Mathematics. Email: muzamil@upr.edu.pk ORCID: 0000-0001-5400-3440. Web of Science ResearcherID: ABG-8633-2021

Korchagin Timur Ikramovich, Tomsk State University

Student of the Department of Theoretical Mechanics

Miroshnichenko Igor Valerievich, Tomsk State University

Senior researcher, Regional Scientific and Educational Mathematical Centre. Email: miroshnichenko@mail.tsu.ru. ORCID: 0000-0002-8582-3326. Web of Science ResearcherID: R-9515-2016

Sheremet Mikhail Alexandrovich, Tomsk State University

Head of the Department of Theoretical Mechanics. Email: sheremet@math.tsu.ru ORCID: 0000-0002-4750-0227. Web of Science ResearcherID: R-6495-2016

Safiullin Azamat Nasykhovich, Tomsk State University

Student of the Department of Theoretical Mechanics

Published

2026-30-03

Issue

Section

МАТЕМАТИКА и МЕХАНИКА