scholarly journals Homotopy perturbation method for analysis of squeezing axisymmetric flow of newtonian fluid under the effects of slip and magnetic field

2018 ◽  
Vol 13 (1) ◽  
pp. 53-67
Author(s):  
Gbeminiyi Sobamowo ◽  
K. C. Alaribe ◽  
A. Yinusa
Keyword(s):  
Magnetic Field ◽  
Perturbation Method ◽  
Newtonian Fluid ◽  
Homotopy Perturbation Method ◽  
Axisymmetric Flow ◽  
Homotopy Perturbation

scholarly journals A New Spectral-Homotopy Perturbation Method and Its Application to Jeffery-Hamel Nanofluid Flow with High Magnetic Field

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Ahmed A. Khidir
Keyword(s):  
Magnetic Field ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Nonlinear Boundary ◽  
Numerical Solutions ◽  
Nonlinear Boundary Value Problems ◽  
Nanofluid Flow ◽  
New Approach ◽  
Homotopy Perturbation ◽  
Chebyshev Pseudospectral

We present a new modification of the homotopy perturbation method (HPM) for solving nonlinear boundary value problems. The technique is based on the standard homotopy perturbation method, and blending of the Chebyshev pseudospectral methods. The implementation of the new approach is demonstrated by solving the Jeffery-Hamel flow considering the effects of magnetic field and nanoparticle. Comparisons are made between the proposed technique, the standard homotopy perturbation method, and the numerical solutions to demonstrate the applicability, validity, and high accuracy of the present approach. The results demonstrate that the new modification is more efficient and converges faster than the standard homotopy perturbation method.

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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