Homotopy analysis for the influence of Navier slip flow in a vertical channel with cross diffusion effects

Kaladhar, K.; Komuraiah, E.

doi:10.1007/s40096-017-0225-1

Cited by 3 publications

(3 citation statements)

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“…In this article, the free convection flow in an annulus with Navier slip condition [17][18][19] and convective boundary condition [20][21][22][23] has been studied along with cross diffusions and first order chemical reaction. Homotopy analysis method (HAM) [24][25][26][27][28] has been applied to get the solution of the present system. The survey clearly showed that the combined effects with slip flow condition and the convective boundary with cross diffusion in an annulus region have not been reported by any researcher.…”

Section: Introductionmentioning

confidence: 99%

“…The h curve of φ(λ) The zero-order deformations; N 1 , N 2 and N 3 are non-linear operators; the average residual errors of f, θ and φ are considered as explained in the work of Kaladhar and Komuraiah [27]. h-curves are plotted with Re = 2, P r = 0.71, Sc = 0.22, Br = 0.5, Gr T = 4, Gr C = 4, Sr = 0.5, D f = 0.5, K = 0.5, α = 0.1, Bi = 0.5, b = 1 for the optimal values of h 1 , h 2 and h 3 and are shown in Figs 2-4.The admissible values of h 1 , h 2 and h 3 are evaluated as -0.34, -0.38, -1.34 respectively with the average residue errors (as explained in[27]) shown if Figs. 5-7.…”

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confidence: 99%

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Influence of cross diffusions on natural convection flow through annulus region with Navier slip and convective boundaries

Kaladhar

Komuraiah²,

Reddy³

2020

E-Journal of Analysis and Applied Mathematics

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In this manuscript we present the influence of cross diffusions on incompressible natural convection laminar flow between concentric cylinders with slip and convective boundaries. In addition, the first order chemical reaction is also considered. The governing equations with boundary conditions are transformed to a non - dimensional form with suitable transformations. Homotopy Analysis Method (HAM) is used to solve the system of equations. The influence of the various parameters like Slip, Dufour, Soret, chemical reaction parameters and the Biot number on velocity, temperature and concentration are investigated and presented through plots. It is found from this study that the influence of slip parameter and Biot number, the velocity and temperature profiles increase, while there is a reverse tendency under the effect of chemical reaction parameter.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

Influence of cross diffusions on natural convection flow through annulus region with Navier slip and convective boundaries

Kaladhar

Komuraiah²,

Reddy³

2020

E-Journal of Analysis and Applied Mathematics

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“…They employed Runge-Kutta fourth order numerical technique to obtain the computational results for nonlinear ordinary differential equations. Kaladhar and Komuraiah [31] employed Homotopy analysis method to investigate the influence of Navier slip flow in a vertical channel with cross diffusion effects. In most of the above-mentioned investigations, the entropy generation is relaxed which is one of the objectives of this study.…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation on Maxwell Fluid Flow Past an Inclined Stretching Plate with Slip and Convective Surface Conditon: Darcy-Forchheimer Model

Yusuf

Gbadeyan

2019

NHC

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In this study the effect of entropy generation on two dimensional magnetohydrodynamic (MHD) flow of a Maxwell fluid over an inclined stretching sheet embedded in a non-Darcian porous medium with velocity slip and convective boundary condition is investigated. Darcy-Forchheimer based model was employed to describe the flow in the porous medium. The non-linear thermal radiation is also taken into account. Similarity transformation is used to convert the non-linear partial differential equations to a system of non-linear ordinary differential equations. The resulting transformed equations are then solved using the Homotopy analysis method (HAM). Influence of various physical parameters on the dimensionless velocity profile, temperature profile and entropy generation are shown graphically and discussed in detail while the effects of these physical parameters on velocity gradient and temperature gradient are aided with the help of Table. Furthermore, comparison of some limiting cases of this model was made with existing results. The results obtained are found to be in good agreement with previously published results. Moreover, increase in local inertial coefficient parameter is found to decrease the entropy generation rate.

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Nonlinear Convective Flow of Magnetohydrodynamic Oldroyd 8-Constant Fluid in a Channel With Chemical Reaction and Convective Boundary Condition

Yusuf

Mabood

Gbadeyan

et al. 2020

Journal of Thermal Science and Engineering Applications

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The present work concentrates on the two-dimensional steady incompressible flow of an Oldroyd-8 constant fluid between vertical plates influenced by a magnetic field. The cross diffusive and second-order chemical reactions are incorporated into the study. The homotopy analysis method (HAM) is used to obtain the series solutions of the transformed system of nonlinear equations. The effects of these parameters on the dimensionless velocity, temperature, concentration, skin friction, and Nusselt and Sherwood numbers are also investigated for various values of relevant parameters affecting the flow and heat transfer phenomena. The most relevant outcomes of the present study are that enhancement in magnetic field strength undermines the flow velocity, temperature, and concentration establishing thinner related boundary layer. Another important outcome is that an increase in the Dufour parameter upsurges the rate of heat transfer at the wall y = 0 while peters out at y = 1. Finally, the second-order chemical reaction parameter reduces the concentration distribution. The novel outcomes of this investigation will be helpful in the field of the aerosol technology.

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Homotopy analysis for the influence of Navier slip flow in a vertical channel with cross diffusion effects

Cited by 3 publications

References 24 publications

Influence of cross diffusions on natural convection flow through annulus region with Navier slip and convective boundaries

Influence of cross diffusions on natural convection flow through annulus region with Navier slip and convective boundaries

Entropy Generation on Maxwell Fluid Flow Past an Inclined Stretching Plate with Slip and Convective Surface Conditon: Darcy-Forchheimer Model

Nonlinear Convective Flow of Magnetohydrodynamic Oldroyd 8-Constant Fluid in a Channel With Chemical Reaction and Convective Boundary Condition

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