Thermal instability of rotating Jeffrey nanofluids in porous media with variable gravity

Pushap Lata Sharma; Deepak Bains; Pankaj Thakur

doi:10.46481/jnsps.2023.1366

Authors

Pushap Lata Sharma Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla, India
Deepak Bains Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla, India
Pankaj Thakur
[email protected]
aculty of Science and Technology, ICFAI University, Baddi, Solan, India https://orcid.org/0000-0001-8119-2697

Keywords:

nanofluid, variable gravity, porous medium, Galerkin method, rotation

Abstract

It is investigated how changes in gravity affect the thermal instability rotating Jeffrey nanofluids in porous media. Along with the Galerkin method and normal mode approach, the Darcy model is used. The distinct variable gravity parameters taken in this paper are: h(z)=z²-2z, h(z)=-z², h(z)=-z and h(z)=z and their effects on the Jeffrey parameter, Taylor number, moderated diffusivity ratio, porosity of porous media, Lewis number and nanoparticle Rayleigh number on stationary convection have been scrutinized and graphically shown. Our finding demonstrates that varying gravity parameter h(z)=z²-2z has more stabilising impact on stationary convection. We have also discovered the necessary condition for overstability in the instance of oscillatory convection for this problem.

Dimensions

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