Unsteady squeezing flow of water‐based nanofluid between two parallel disks with slip effects: Analytical approach

Abstract

The squeezing flow of an unsteady water-based nanofluid between two parallel disks has been analyzed in the current study. Thermal and solutal buoyancy along with heat source enhance the flow phenomena of free convective flow through a porous medium. In addition to that velocity slip and temperature slip are also accounted for in the boundary conditions. The similarity transformation is adopted to formulate the governing equations that convert the complex partial differential equations (PDEs) to nonlinear ordinary differential equations (ODEs). These transformed equations are handled analytically by using the variation parameter method (VPM). For computational purposes, the fixed numeric values of physical parameters are used and their behaviors are shown by means of graphs. The calculated results for the physical quantities of interest are shown in tables. The conformity of the solution is obtained in comparison to an earlier study in a particular case. The major findings are (i) the velocity profile has distinct variations, which are separated by the middle layer of the channel and (ii) enhancement in the heat transfer coefficient is noted due to the interaction of buoyancy parameter. K E Y W O R D S analytical solution (variation parameter method), free convection, squeezing flow, velocity and temperature slip J E L C L A S S I F I C A T I O N 76D05, 76D10, 76M60, 76S05 Heat Transfer-Asian Res. 2019;48:1575-1594.wileyonlinelibrary.com/journal/htj

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