Effect of magnetic field on the onset of thermal convection in a Jeffery nanofluid layer saturated by a porous medium: free-free, rigid-rigid and rigid-free boundary conditions

Authors

  • Ajit Kumar
    Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla, India
  • Pushap Lata Sharma
    Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla, India
  • Praveen Lata
    Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla, India
  • Deepak Bains
    Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla, India
    https://orcid.org/0000-0001-8078-923X
  • Pankaj Thakur
    Faculty of Science and Technology, ICFAI University, Baddi, Solan, India

Keywords:

Magnetic field; thermal convection; Jeffery nanofluid; normal mode technique

Abstract

The effect of the magnetic field on the onset of thermal convection in a porous layer saturated by Jeffrey nanofluid is studied. Three distinct boundary conditions are considered to be free-free, rigid-rigid and rigid-free boundaries. The model used for Jeffrey nanofluid includes the effect of Brownian motion and thermophoresis. The normal mode analysis as well as the Galerkin first approximation technique is used. The effects of the Rayleigh number of nanoparticles, Lewis number, modified diffusivity ratio, Jeffery parameter, porosity and Chandrasekhar number are investigated analytically and graphically. It is discovered that the Chandrasekhar number, Lewis number and modified diffusivity ratio have a stabilizing effect while the Jeffery parameter, nanoparticles Rayleigh number and porosity have a destabilizing effect. This study induces the effect of Chandrasekhar number and Jeffrey nanofluid. We have analyzed that Chandrasekhar number produces a stabilizing effect on the onset of convection i.e. it delays the onset of convection whereas the Jeffrey parameter which comes from Jeffrey nanofluid shows the destabilizing effect on the onset of convection i.e. it accelerates the onset of convection. The influence of a magnetic field on the commencement of nanofluid convection is significant in magnetohydrodynamic power generators, electrical equipment, petroleum reservoirs, nuclear reactors, biochemical engineering, chemical engineering and geophysics.

Dimensions

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Published

2024-04-21

How to Cite

Effect of magnetic field on the onset of thermal convection in a Jeffery nanofluid layer saturated by a porous medium: free-free, rigid-rigid and rigid-free boundary conditions. (2024). Journal of the Nigerian Society of Physical Sciences, 6(2), 1934. https://doi.org/10.46481/jnsps.2024.1934

Issue

Volume 6, Issue 2, May 2024

Section

Mathematics & Statistics
Copyright & Licensing

Copyright (c) 2024 Ajit Kumar, Pushap Lata Sharma, Praveen Lata, Deepak Bains, Pankaj Thakur

Creative Commons License

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

How to Cite

Effect of magnetic field on the onset of thermal convection in a Jeffery nanofluid layer saturated by a porous medium: free-free, rigid-rigid and rigid-free boundary conditions. (2024). Journal of the Nigerian Society of Physical Sciences, 6(2), 1934. https://doi.org/10.46481/jnsps.2024.1934

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