Stability study of MHD squeezed nanofluid flow through parallel porous disks with shape factor effect

Abstract

The stability of unsteady two-dimensional magnetohydrodynamic squeezed nanofluid flow with heat transfer through two parallel disks is examined in this paper. The lower disk is considered porous, and four different-shaped Co, Ni and Al2O3 nanoparticles are dispersed in the pure fluid. The viscous dissipation effect is considered, and Hamilton and Crosser's equation has been considered for the effective thermal conductivity of the nanofluid. The dimensional governing equations of the flow are converted to a couple of non-dimensional ordinary differential equations. Then the non-dimensional equations are solved using power series and the solutions are examined by Hermite- Padé approximation scheme. The present result and the published data are compared and a good concurrence is seen. The effect of physical numbers such as the suction parameter, squeezing number, magnetic number, Prandtl number, and Eckert number on velocity and temperature fields is depicted explicitly. The skin friction coefficient and local heat transfer rate are also measured in terms of the physical numbers. The stability analysis of the skin friction coefficient with local heat transfer rate is performed through a bifurcation curve and critical point which predicts that the bottom part of the curve is steady and actually viable, while the top part of the curve is not stable. The critical value with the nature of the squeezing parameter is predicted and found to decrease as the suction/injection parameter increases. These outcomes are significant in the long run where the optimization of heat transfer in the cooling/heating applications is expected.

Keywords

• Squeezed flow
• Porous parallel disk
• Shape factor
• Nanofluid
• Stability analysis
• Regression analysis