10.57647/

Convection in a Tilted Square Enclosure with Various Boundary Conditions and Having Heat Generating Solid Body at its Center

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  • Periyasamy Umadevi1,
  • Nagarajan Nithyadevi2,
  1. Department of Mathematics, Bharathiar University, Coimbatore, PO. Code 641046, India
  2. Department of Mathematics, Dr. NGP Arts and Science College, Coimbatore, PO. Code 641048, India.

Received: 27-10-2016

Revised: 01-04-2017

Published in Issue 27-07-2025

Copyright (c) 2025 Periyasamy Umadevi, Nagarajan Nithyadevi (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Umadevi, P., & Nithyadevi, N. (2025). Convection in a Tilted Square Enclosure with Various Boundary Conditions and Having Heat Generating Solid Body at its Center. International Journal of Mathematical Modelling & Computations, 7(2). https://doi.org/10.57647/
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Abstract

In this study free convection flow and heat transfer of a fluid inside a tilted square enclosure having heat conducting and generating solid body positioned in the center of the enclosure with various thermal boundary conditions has been investigated numerically. The governing equations are transformed into non-dimensional form and the resulting partial differential equations are solved by Finite Volume Method applying power-law scheme using SIMPLE algorithm with Under-Relaxation technique. The parameters leading the problem are the aspect ratio, thermal conductivity ratio, temperature difference ratio and the angle of inclination. The effect of different thermal boundary conditions on streamlines and isotherms as well as on the rate of heat transfer on all walls of the enclosure are presented graphically.

Keywords

  • Finite volume method,
  • Aspect Ratio,
  • Angle of Inclination,
  • Natural convection and Square Enclosure
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