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Vol.23, No.3, 2023, pp. 351–356 |
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THERMAL CONVECTIVE INSTABILITY IN A JEFFREY NANOFLUID SATURATING A POROUS MEDIUM: RIGID-RIGID AND RIGID-FREE BOUNDARY CONDITIONS Pushap Lata Sharma1, Ajit Kumar1, Deepak Bains1, Praveen Lata1, Gian Chand Rana2* 1) Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla, INDIA 2) Department of Mathematics, NSCBM Government College, Hamirpur, Himachal Pradesh, INDIA *email: drgcrana15@gmail.com
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Abstract In this paper, the onset of stationary convection in a porous layer saturated with a thermally unstable Jeffery nanofluid is considered. The behaviour of the nanofluid is described by using a Jeffrey fluid model and the porous layer is assumed to adhere to Darcy's law. The momentum-balance equations for the fluid are modified by the Jeffrey parameter and nanoparticles. Linear stability analysis, the normal modes analysis, and Galerkin type weighted residual method (GWRM) techniques are used to calculate the dispersion relation for the Rayleigh number in terms of various parameters for rigid-rigid and rigid-free boundaries. The effects of the Rayleigh number of nanoparticles, Lewis number, modified diffusivity ratio, Jeffrey parameter, and porosity are investigated analytically and graphically. Keywords: nanofluid, Jeffrey model, Rayleigh number, porous medium, convection |
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