scholarly journals NUMERICAL SIMULATION USING THE HOMOTOPY PERTURBATION METHOD FOR A THIN LIQUID FILM OVER AN UNSTEADY STRETCHING SHEET

2016 ◽  
Vol 107 (2) ◽  
Author(s):  
M.A. Yousif ◽  
B.A. Mahmood ◽  
K.K. Ali ◽  
H.F. Ismael
Keyword(s):  
Numerical Simulation ◽  
Liquid Film ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Stretching Sheet ◽  
Thin Liquid Film ◽  
Homotopy Perturbation ◽  
Unsteady Stretching Sheet

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

Numerical Study for the Flow and Heat Transfer in a Thin Liquid Film Over an Unsteady Stretching Sheet with Variable Fluid Properties in the Presence of Thermal Radiation

2012 ◽  
Vol 28 (2) ◽  
pp. 291-297 ◽  
Author(s):  
I-C. Liu ◽  
A. M. Megahed
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Liquid Film ◽  
Stretching Sheet ◽  
Numerical Study ◽  
Thin Liquid Film ◽  
Unsteady Stretching Sheet ◽  
Flow And Heat Transfer

AbstractIn this paper, the effect of thermal radiation, variable viscosity and variable thermal conductivity on the flow and heat transfer of a thin liquid film over an unsteady stretching sheet is analyzed. The continuity, momentum and energy equations, which are coupled nonlinear partial differential equations, are reduced to a set of two non-linear ordinary differential equations, before being solved numerically. Results for the skin-friction coefficient, local Nusselt number, velocity profiles as well as temperature profiles are presented for different values of the governing parameters. It is found that increasing the viscosity parameter leads to a rise in the velocity near the surface of the sheet and a fall in the temperature. Furthermore, it is shown that the temperature increases due to an increase in the values of the thermal conductivity parameter and the thermal radiation parameter, while it decreases with an increase of the Prandtl number.

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