Effects of velocity slip on non-Newtonian fluid flow in a channel bounded by a stretching sheet and a naturally permeable bed: homotopy perturbation method

2014 ◽  
Vol 26 (3-4) ◽  
pp. 637-649
Author(s):  
Dileep Singh Chauhan ◽  
Amala Olkha
Keyword(s):  
Fluid Flow ◽  
Perturbation Method ◽  
Newtonian Fluid ◽  
Homotopy Perturbation Method ◽  
Stretching Sheet ◽  
Velocity Slip ◽  
Homotopy Perturbation

Homotopy perturbation method for MHD non-Newtonian Williamson fluid over exponentially stretching sheet with viscous dissipation and convective boundary condition

2019 ◽  
Vol 30 (11) ◽  
pp. 1950088 ◽  
Author(s):  
Khadijah M. Abualnaja
Keyword(s):  
Fluid Flow ◽  
Perturbation Method ◽  
Numerical Method ◽  
Homotopy Perturbation Method ◽  
Stretching Sheet ◽  
Fluid Temperature ◽  
Williamson Fluid ◽  
Homotopy Perturbation ◽  
Exponential Stretching ◽  
Special Cases

This research is aimed at presenting the two-dimensional steady fluid flow, represented by Williamson constitutive model past a nonlinear exponential stretching sheet theoretically. The system of ODEs describing the physical problem is successfully solved numerically with the help of the homotopy perturbation method (HPM). Special attention is given to study the convergence analysis of the proposed method. The influences of the physical governing parameters acting on the fluid velocity and the fluid temperature are explained with the help of the figures and tables. Further, the presented numerical method is employed to calculate both the rate of heat transfer and the drag force for the Williamson fluid flow. In particular, it is observed that both the Eckert number and the dimensionless convective parameter have the effect of enhancing the temperature of the stretching surface, while the inverse was noted for the dimensionless mixed convection parameter. Finally, the comparison with previous numerical investigations of other authors at some special cases which is reported here proves that the results obtained via homotopy perturbation method are accurate and the numerical method is reliable.

scholarly journals An effective modification of the homotopy perturbation method for MHD viscous flow over a stretching sheet

2013 ◽  
Vol 25 (2) ◽  
pp. 107-113 ◽  
Author(s):  
M. Fathizadeh ◽  
M. Madani ◽  
Yasir Khan ◽  
Naeem Faraz ◽  
Ahmet Yıldırım ◽  
...  
Keyword(s):  
Perturbation Method ◽  
Viscous Flow ◽  
Homotopy Perturbation Method ◽  
Stretching Sheet ◽  
Homotopy Perturbation

scholarly journals Homotopy perturbation method for motion of a spherical solid particle in plane couette fluid flow

2011 ◽  
Vol 61 (8) ◽  
pp. 2267-2270 ◽  
Author(s):  
M. Jalaal ◽  
M.G. Nejad ◽  
P. Jalili ◽  
M. Esmaeilpour ◽  
H. Bararnia ◽  
...  
Keyword(s):  
Fluid Flow ◽  
Perturbation Method ◽  
Solid Particle ◽  
Homotopy Perturbation Method ◽  
Homotopy Perturbation ◽  
Spherical Solid Particle

scholarly journals Analytic approximate solutions for fluid flow in the presence of heat and mass transfer

2018 ◽  
Vol 22 (Suppl. 1) ◽  
pp. 259-264
Author(s):  
Adem Kılıcman ◽  
Yasir Khan ◽  
Ali Akgul ◽  
Naeem Faraz ◽  
Esra Akgul ◽  
...  
Keyword(s):  
Mass Transfer ◽  
Fluid Flow ◽  
Perturbation Method ◽  
Heat And Mass Transfer ◽  
Homotopy Perturbation Method ◽  
Approximate Solutions ◽  
Solution Procedure ◽  
Homotopy Perturbation ◽  
Present Solution ◽  
Linear Ode

This paper outlines a comprehensive study of the fluid-flow in the presence of heat and mass transfer. The governing non-linear ODE are solved by means of the homotopy perturbation method. A comparison of the present solution is also made with the existing solution and excellent agreement is observed. The implementation of homotopy perturbation method proved to be extremely effective and highly suitable. The solution procedure explicitly elucidates the remarkable accuracy of the proposed algorithm.

scholarly journals Mathematical Model and Solution for an Unsteady MHD Fourth Grade Fluid Flow over a Vertical Plate in a Porous Medium with Magnetic Field and Suction/Injection Effects

2020 ◽  
Vol 12 (4) ◽  
pp. 485-498
Author(s):  
O. J. Fenuga ◽  
S. J. Aroloye ◽  
S. O. Salawu
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Fluid Flow ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Fourth Grade ◽  
Governing Equations ◽  
Homotopy Perturbation ◽  
Grade Fluid ◽  
Fourth Grade Fluid

This work investigates the mathematical model and solution for an unsteady MHD fourth grade fluid flow over a vertical plate in a porous medium with the effects of the magnetic field and suction/injection parameters using Homotopy Perturbation Method. The flow is considered to satisfy the constitutive equations of fourth grade fluid flow model and because of the Homotopy Perturbation Method used, only the momentum equation with initial and boundary conditions are solved as governing equations. After initializing stability test, the convergence of the governing equations are observed graphically using the results of Homotopy Perturbation Method with the new analytical method used by Yurusoy in literature and there is a perfect agreement in results. The impact of dimensionless second, third and fourth grade parameters with the effects of magnetic field and suction/injection parameters on the velocity field are displayed graphically and discussed. Increase in suction parameter decreases the momentum boundary layer thickness while injection parameter enhances velocity distribution in the boundary layer. Magnetic field reduces velocity throughout the boundary layer because the Lorentz force which acts as retarding force reduces the boundary layer thickness.

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