MULTIPLICITY IN MOTION: INVESTIGATING MULTIPLE SOLUTIONS IN NATURAL CONVECTION WITHIN AN AIR-FILLED SQUARE ENCLOSURE

Authors

  • Imane Mohamed Laboratory of Polyphasic Transfers and Porous Media HOUARI BOUMEDIENE University, Algeria

Keywords:

Natural Convection, Multiplicity, Square Enclosure

Abstract

Natural convection within enclosed spaces is a complex phenomenon with significant implications for various engineering and environmental applications. This study investigates the occurrence of multiple solutions in natural convection within an air-filled square enclosure using computational fluid dynamics (CFD) simulations. By varying parameters such as temperature gradients, aspect ratios, and boundary conditions, we explore the emergence of multiple steady-state solutions and their implications for heat transfer and fluid flow patterns. Our findings highlight the importance of considering multiplicity in natural convection phenomena, providing insights into system behavior and guiding the design of more efficient thermal management systems.

Downloads

Download data is not yet available.

References

Berge, P. and Y. Pomeau, 1998. L'ordre dans le chaos. Hermann Paris Cinquième Édition.

Bratsun, D.A., A.V. Zyuzgin and G.F. Putin, 2003. Non-linear dynamics and pattern formation in a vertical fluid layer heated from the side. Int. J. Heat Fluid Flow, 24: 835-852.

De Vahl Davis, G., 1983. Natural convection of air in a square cavity: A bench mark numerical solution. Int. J. Numer. Methods Fluids, 3: 249-264.

Douamna, S., M. Hasnaoui and B. Abourida, 1999. Transient natural Convection in the periodic heated geometry: Fast Fourier Transformation (FFT) analysis. Int. J. Therm. Sci., 38: 797-807.

Gollub, J.P. and S.V. Besson, 1980. Many routes to turbulence convection. J. Fluid Mech, 100: 449-470.

Grassberger, P. and I. Procaccia, 1983. Charterization of strange attractors. Phys. Rev. Lett., 50: 346-346.

Ishida, H., S. Kawase and H. Kimoto, 2006. The second largest Lyapunov exponent and transition to chaos of natural convection in a rectangular cavity. Int. J. Heat Mass Transfer, 49: 5035-5048.

Jahnke, C.C., V. Subramanyan and D.T. Valentine, 1998. On the convection in an enclosed container with unstable side wall temperature distributions. Int. J. Heat Mass Transfer, 41: 2307-2320.

Kuang, J.L., P.A. Mechan and A.Y.T. Leung, 2006. Suppressing chaos via Lyapunov-Krasovskii's method. Chaos, Solitons Fractals, 27: 1408-1414.

Lamsaadi, M., M. Naimi and M. Hasnaoui, 2006. Multiple steady state solutions for natural convection in a shallow horizontal rectangular cavity filled with non-Newtonian power-law fluids and heated from all sides. Int. J. Num. Methods Heat Fluid Flow, 16: 779-802.

Le-Quere, P. and M. Behnia, 1998. From onset of unsteadiness to chaos in a differentially heated square cavity. J. Fluid Mech., 359: 81-107.

Downloads

Published

2013-02-03

How to Cite

Imane Mohamed. (2013). MULTIPLICITY IN MOTION: INVESTIGATING MULTIPLE SOLUTIONS IN NATURAL CONVECTION WITHIN AN AIR-FILLED SQUARE ENCLOSURE. Journal of Applied Science and Social Science, 3(01), 01–05. Retrieved from https://www.internationaljournal.co.in/index.php/jasass/article/view/91

Issue

Vol. 3 No. 01 (2013): Volume 03 Issue 01

Section

Articles

License

Copyright (c) 2013 Imane Mohamed

Creative Commons License

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

All content published in the Journal of Applied Science and Social Science (JASSS) is protected by copyright. Authors retain the copyright to their work, and grant JASSS the right to publish the work under a Creative Commons Attribution License (CC BY). This license allows others to distribute, remix, adapt, and build upon the work, even commercially, as long as they credit the author(s) for the original creation.