Linear Stability Analysis in Ethylene Glycol-Copper Nanoliquid Saturated Porous Medium in the Presence of Different Shaped Nanoparticles

Abstract

In the present paper we carried out linear stability analysis for ethylene glycol-copper nanoliquid-saturated porous medium. The thermal properties of baseliquid, nanoparticles and porous medium are used in the calculation of properties of nanoliquid and nanoliquid saturated porous medium using phenomenological laws and mixture theory. The rigid-free isothermal boundaries are considered in the study. Analytical expression for critical Rayleigh number is presented in the paper. Dissimilar shapes of nanoparticles are examined and their effect on the onset of convection is studied in great detail. In addition the effect of various parameters namely porous parameter, aspect ratio, volume fraction are also studied and analysed graphically. It is observed that the onset of convection is advanced when nanoparticles are added to baseliquid whereas delayed in the addition of the porous medium to the nanoliquid. Unicellular convection is possible only when the aspect ratio lies in the range 0.8 < A < 2 .