Analytical Investigation of Squeezing Flow of Graphene Oxide Water Nanofluid Between Parallel Plates Using RVIM

Purpose The purpose of this paper is to find the approximate solutions of unsteady squeezing nanofluid flow and heat transfer between two parallel plates in the presence of variable heat source, viscous dissipation and inclined magnetic field using collocation method (CM). Design/methodology/approach The partial governing equations are reduced to nonlinear ordinary differential equations by using appropriate transformations and then are solved analytically by using the CM. Findings It is observed that the enhancing values of aligned angle of the magnetic causes a reduction in temperature distribution. It is also seen that the effect of nanoparticle volume fraction is significant on the temperature but negligible on the velocity profile. Originality/value To the best of the authors’ knowledge, no research has been carried out considering the combined effects of inclined Lorentz forces and variable heat source on squeezing flow and heat transfer of nanofluid between the infinite parallel plates.

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A Semi-Analytical Approach to Time Dependent Squeezing Flow of Cu and Ag Water-Based Nanofluids

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.393.121 ◽

2019 ◽

Vol 393 ◽

pp. 121-137 ◽

Cited By ~ 1

Author(s):

S.R. Mishra ◽

Debi P. Bhatta ◽

J.K. Dash ◽

Oluwole Daniel Makinde

Keyword(s):

Volume Fraction ◽

Similarity Transformation ◽

Velocity Slip ◽

Solution Procedure ◽

Vital Role ◽

Unknown Coefficient ◽

Squeezing Flow ◽

Physical Parameters ◽

Parallel Plates ◽

Nonlinear Odes

Study reveals the axisymmetric squeezing flow of nanofluids through two parallel plates. Both Copper (Cu) and Silver (Ag) nanoparticles along with water treated as base fluid have been taken into consideration. Viscous dissipation effect and velocity slip both enhance the present study. The non-dimensional form of governing nonlinear ODEs is obtained with the suitable choice of similarity transformation. The complex ODEs are solved analytically imposing Adomain Decomposition Method (ADM). The influence of emerging parameters such as nanoparticle volume fraction, unsteadiness parameter, Eckert number, etc. have been described by visualizing graphically and the tabular values represent the unknown coefficient and computation is made for various values of physical parameters. The present result is compatible with the earlier which confirms the accuracy of the solution procedure. It reveals that point of inflection is marked in the velocity profiles of both Ag and Cu water nanofluids for the effects of various physical parameters. Squeezing number play a vital role in the velocity profile and it is observed that near the lower plate Ag nanoparticle dominates over Cu nanoparticles and further, after the middle of the channel the effect is reversed. 2010 Mathematics Subject Classification: 76D05, 76D10, 76M60, 76S05. *Corresponding Author’s Email: HYPERLINK "mailto:[email protected]" [email protected] Mobile No.: (+91)-9937169245

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Analytic Comparison of MHD Squeezing Flow in Porous Medium with Slip Condition

Physics Research International ◽

10.1155/2016/5407916 ◽

2016 ◽

Vol 2016 ◽

pp. 1-10 ◽

Cited By ~ 2

Author(s):

Inayat Ullah ◽

M. T. Rahim ◽

Hamid Khan ◽

Mubashir Qayyum

Keyword(s):

Porous Medium ◽

Stokes Equations ◽

Adomian Decomposition Method ◽

Nonlinear Ordinary Differential Equation ◽

Navier Stokes ◽

Squeezing Flow ◽

Parallel Plates ◽

Transform Method ◽

Slip Boundary ◽

Adomian Decomposition

The aim of this paper is to compare the efficiency of various techniques for squeezing flow of an incompressible viscous fluid in a porous medium under the influence of a uniform magnetic field squeezed between two large parallel plates having slip boundary. Fourth-order nonlinear ordinary differential equation is obtained by transforming the Navier-Stokes equations. Resulting boundary value problem is solved using Differential Transform Method (DTM), Daftardar Jafari Method (DJM), Adomian Decomposition Method (ADM), Homotopy Perturbation Method (HPM), and Optimal Homotopy Asymptotic Method (OHAM). The problem is also solved numerically using Mathematica solver NDSolve. The residuals of the problem are used to compare and analyze the efficiency and consistency of the abovementioned schemes.

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