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
The present analysis investigates an unsteady conducting water-based nanofluid embedding with porous medium over an exponentially accelerated vertical plate. The plate is accelerated with moving ramped temperature. However, water is treated as the base fluid with Copper (Cu) and Titanium Oxide (TiO 2) as nanoparticles. Effects of thermal radiation, heat source, and radiation absorption are taken care of in the energy equation which may enhance the heat transfer properties of nanofluid. The crux of the investigation is to find the closed-form solution of nonlinear coupled partial differential equations. Laplace Transform technique is employed to solve these equations. The influence of the contributing parameters for the flow phenomena, in particular, thermal buoyancy parameter, thermal radiation, heat source/sink, and Prandtl number along with others are obtained and presented via graphs. Rate of shear stress and heat transfer coefficients for the significance of physical quantities of interest are also obtained and presented through graphs. Results and discussion section is devoted which elaborates on the behaviors of these, the emerging parameters. However, augmentation in the thermal profile is observed due to the heat sink as well as the thermal radiation parameters and nanoparticle volume fraction retards the velocity distribution due to the heavier density of the Cu nanoparticles.
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