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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus

IMPACT FACTOR 2017: 1.414

CiteScore 2018: 1.15

SCImago Journal Rank (SJR) 2018: 0.370
Source Normalized Impact per Paper (SNIP) 2018: 0.431

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Volume 65, Issue 3


Magneto Thermal Convection in a Compressible Couple-Stress Fluid

Mahinder Singh / Pardeep Kumar
Published Online: 2014-06-02 | DOI: https://doi.org/10.1515/zna-2010-0310

The problem of thermal instability of compressible, electrically conducting couple-stress fluids in the presence of a uniform magnetic field is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, the compressibility, couple-stress, and magnetic field postpone the onset of convection. Graphs have been plotted by giving numerical values of the parameters to depict the stability characteristics. The principle of exchange of stabilities is found to be satisfied. The magnetic field introduces oscillatory modes in the system that were non-existent in its absence. The case of overstability is also studied wherein a sufficient condition for the non-existence of overstability is obtained.

Keywords: Thermal Instability; Compressible Couple-Stress Fluid; Uniform Magnetic Field; Linearized Theory; Normal Mode Analysis

About the article

Received: 2009-01-05

Revised: 2009-04-04

Published Online: 2014-06-02

Published in Print: 2010-03-01

Citation Information: Zeitschrift für Naturforschung A, Volume 65, Issue 3, Pages 215–220, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-2010-0310.

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© 1946 – 2014: Verlag der Zeitschrift für Naturforschung. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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