Stability Criteria of Streaming Conducting Fluids through Porous Media under the Influence of a Uniform Normal Magnetic Field

Yasser Gamiel; Waheed Zahra; Marwa El-Behairy

doi:https://doi.org/10.14445/22315373/IJMTT-V41P513

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 41 | Number 2 | Year 2017 | Article Id. IJMTT-V41P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V41P513

Stability Criteria of Streaming Conducting Fluids through Porous Media under the Influence of a Uniform Normal Magnetic Field

Yasser Gamiel, Waheed Zahra, Marwa El-Behairy

Citation :

Yasser Gamiel, Waheed Zahra, Marwa El-Behairy, "Stability Criteria of Streaming Conducting Fluids through Porous Media under the Influence of a Uniform Normal Magnetic Field," International Journal of Mathematics Trends and Technology (IJMTT), vol. 41, no. 2, pp. 147-155, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V41P513

Abstract

The present work deals with temporal stability properties of streaming superposed conducting fluids through porous media under the influence of a uniform normal magnetic field. The considered system is composed of two semi-infinite fluids, a middle fluid sheet of finite thickness through porous media embedded between them. The linear stability criteria of the model discussed analytically and stability diagrams obtained for both the general, and the Rayleigh–Taylor cases. Such configuration displays a variety of fascinating dynamical behaviour, further the stability of this model is of practical significance in many chemical and nuclear engineering applications. The influence of different parameters governing the flow on the stability behaviour of the system discussed in detail.

Keywords

Conducting fluids, Magnetic field, Instability, Porous media, Rayleigh–Taylor.

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