Version 1
: Received: 16 September 2018 / Approved: 17 September 2018 / Online: 17 September 2018 (09:09:04 CEST)
How to cite:
Yadav, D. Convective Instability in a Hele Shaw Cell with the Effect of Through Flow and Magnetic Field. Preprints2018, 2018090290. https://doi.org/10.20944/preprints201809.0290.v1
Yadav, D. Convective Instability in a Hele Shaw Cell with the Effect of Through Flow and Magnetic Field. Preprints 2018, 2018090290. https://doi.org/10.20944/preprints201809.0290.v1
Yadav, D. Convective Instability in a Hele Shaw Cell with the Effect of Through Flow and Magnetic Field. Preprints2018, 2018090290. https://doi.org/10.20944/preprints201809.0290.v1
APA Style
Yadav, D. (2018). Convective Instability in a Hele Shaw Cell with the Effect of Through Flow and Magnetic Field. Preprints. https://doi.org/10.20944/preprints201809.0290.v1
Chicago/Turabian Style
Yadav, D. 2018 "Convective Instability in a Hele Shaw Cell with the Effect of Through Flow and Magnetic Field" Preprints. https://doi.org/10.20944/preprints201809.0290.v1
Abstract
In this paper, an analytical investigation of the combined effect of through flow and magnetic field on the convective instability in an electrically conducting fluid layer, bounded in a Hele-Shaw cell is presented within the context of linear stability theory. The Galarkin method is utilized to solve the eigenvalue problem. The outcome of the important parameters on the stability of the system is examined analytically as well as graphically. It is observed that the through flow and magnetic field have both stabilizing effects, while the Hele-Shaw number has destabilizing effect on the stability of system. It is also found that the oscillatory mode of convection possible only when the magnetic Prandtl number takes the values less than unity.
Keywords
Linear stability theory; Magneto convection; Through flow; Hele-Shaw cell; Galarkin method.
Subject
Physical Sciences, Fluids and Plasmas Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
