Abstract
In this paper, double diffusive squeezing unsteady flow of electrically conducting nanofluid between two parallel disks under slip and temperature jump condition is analyzed using the homotopy perturbation method. The obtained solutions from the analysis are used to investigate the effects of the Brownian motion parameter, thermophoresis parameter, Hartmann number, Lewis number and pressure gradient parameters, slip and temperature jump boundary conditions on the behavior of the nanofluid. Also, the results of the homotopy perturbation method are compared to the results in the literature and good agreements are established. This study is significant to the advancements of nanofluidics such as energy conservation, friction reduction and micro mixing biological samples.
Highlights
The study of fluid flow between parallel surfaces has generated wide research interests over the years due to its increasing application in the field of science and engineering
Khan and Aziz [20] presented a study on the flow of nanofluid between parallel plates due to natural convection
Khan and Aziz [19] analyzed double diffusive natural convective boundary layer fluid flow through porous media saturated with nanofluid while Kuznestov and Nield [21] studied nanofluid flow between parallel plates but with natural convective boundary layer
Summary
The study of fluid flow between parallel surfaces has generated wide research interests over the years due to its increasing application in the field of science and engineering. Domairry and Aziz [3] applied the homotopy perturbation method to study the effect of suction and injection on MHD squeeze flow between parallel disks. Analytical solutions with large number of terms and conditional statements for the solutions are not convenient for use by designers and engineers [9,48] In such methods, the search for a particular value that will satisfy the other end boundary condition(s) necessitated the use of software and such always results in additional computational cost in the generation of solution to the problem. In this work, homotopy perturbation method is used to study the slip effects of squeezing nanofluid flow through two parallel disks under magnetic field with pressure gradient. The analytical solution of the homotopy perturbation method is used to investigate the effects of various flow parameters with the effects discussed in detail
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