scholarly journals On Modified Algorithm for Fourth-Grade Fluid

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Farah Jabeen Awan ◽  
Asif Mehmood ◽  
Syed Tauseef Mohyud-Din ◽  
Saleh M. Hassan
Keyword(s):  
Homotopy Perturbation Method ◽  
Vertical Cylinder ◽  
Fourth Grade ◽  
Outer Side ◽  
Rational Homotopy ◽  
Thin Film Flow ◽  
Homotopy Perturbation ◽  
Grade Fluid ◽  
Fourth Grade Fluid ◽  
Method Analysis

This paper shows the analysis of the thin film flow of fourth-grade fluid on the outer side of a vertical cylinder. Solution of the governing nonlinear equation is obtained by Rational Homotopy Perturbation Method (RHPM); comparison with exact solution reflects the reliability of the method. Analysis shows that this method is reliable for even high nonlinearity. Graphs and tables strengthen the idea.

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.

Optimal homotopy asymptotic method with application to thin film flow

Open Physics ◽  
2008 ◽  
Vol 6 (3) ◽  
Author(s):  
Vasile Marinca ◽  
Nicolae Herişanu ◽  
Iacob Nemeş
Keyword(s):  
Thin Film ◽  
Asymptotic Method ◽  
Film Flow ◽  
Vertical Cylinder ◽  
Thin Film Flow ◽  
Analytical Technique ◽  
Grade Fluid ◽  
Optimal Homotopy Asymptotic Method ◽  
Linear Problems ◽  
Fourth Grade Fluid

AbstractA new approximate analytical technique to address for non-linear problems, namely Optimal Homotopy Asymptotic Method (OHAM) is proposed and has been applied to thin film flow of a fourth grade fluid down a vertical cylinder. This approach however, does not depend upon any small/large parameters in comparison to other perturbation method. This method provides a convenient way to control the convergence of approximation series and allows adjustment of convergence regions where necessary. The series solution has been developed and the recurrence relations are given explicitly. The results reveal that the proposed method is very accurate, effective and easy to use.

scholarly journals Unsteady thin film flow of a fourth grade fluid over a vertical moving and oscillating belt

2016 ◽  
Vol 5 (3) ◽  
pp. 223-235 ◽  
Author(s):  
Taza Gul ◽  
Fazle Ghani ◽  
S. Islam ◽  
R.A. Shah ◽  
I. Khan ◽  
...  
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Fourth Grade ◽  
Thin Film Flow ◽  
Grade Fluid ◽  
Fourth Grade Fluid
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