Effect of Couple Stress On Thermal Instability of Visco-Elastic Walter’s (Modal B´) Nanofluid Layer Through A Porous Medium

Sudhir Kumar Pundir; Deepak kapil; Rimple Pundir

doi:https://doi.org/10.14445/22315373/IJMTT-V67I11P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 11 | Year 2021 | Article Id. IJMTT-V67I11P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I11P505

Effect of Couple Stress On Thermal Instability of Visco-Elastic Walter’s (Modal B´) Nanofluid Layer Through A Porous Medium

Sudhir Kumar Pundir , Deepak kapil, Rimple Pundir

Citation :

Sudhir Kumar Pundir , Deepak kapil, Rimple Pundir, "Effect of Couple Stress On Thermal Instability of Visco-Elastic Walter’s (Modal B´) Nanofluid Layer Through A Porous Medium," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 11, pp. 38-46, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I11P505

Abstract

The effect of couple stress on thermal instability of visco-elastic Walter’s (modal B´) nanofluid layer through a porous medium is analytically and graphically discussed in this paper. The effects of the physical parameters such as nano particle Rayleigh number, Lewis number, modified diffusivity ratio, and couple stress on the stationary deportation have been observed by applying perturbation method and normal mode analysis. It is found that modified diffusivity ratio, nano particle Rayleigh number and Lewis number have stabilizing effect on stationary deportation whereas couple stress shows a destabilizing effect for stationary convection.

Keywords

Rayleigh number; couple stress, Lewis number; modified diffusivity ratio.

References

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