Solution of the steady thin film flow of non-Newtonian fluid on vertical cylinder using Adomian Decomposition Method

2013 ◽  
Vol 350 (4) ◽  
pp. 818-839 ◽  
Author(s):  
M.K. Alam ◽  
M.T. Rahim ◽  
E.J. Avital ◽  
S. Islam ◽  
A.M. Siddiqui ◽  
...  
Keyword(s):  
Thin Film ◽  
Newtonian Fluid ◽  
Decomposition Method ◽  
Film Flow ◽  
Adomian Decomposition Method ◽  
Vertical Cylinder ◽  
Thin Film Flow ◽  
Adomian Decomposition

A study of thin film flow of an Oldroyd 8-constant fluid on a moving belt using variational iteration approach

2014 ◽  
Vol 92 (10) ◽  
pp. 1196-1202 ◽  
Author(s):  
A.M. Siddiqui ◽  
A.A. Farooq ◽  
T. Haroon ◽  
M.A. Rana
Keyword(s):  
Thin Film ◽  
Newtonian Fluid ◽  
Film Flow ◽  
Adomian Decomposition Method ◽  
Nonlinear Problems ◽  
Variational Iteration Method ◽  
Thin Film Flow ◽  
Belt Speed ◽  
Variational Iteration ◽  
Adomian Decomposition

In this paper, we model a steady thin film flow of an Oldroyd 8-constant fluid on a vertically moving belt. The governing nonlinear differential equation is first integrated exactly and then solved by applying the variational iteration method and the Adomian decomposition method. The numerical results obtained by these methods are then compared through graphs and tables and no visible difference is observed. This study highlights the significant features of the proposed methods and their ability for solving nonlinear problems arising in non-Newtonian fluid mechanics. Moreover, a reasonable estimation for the belt speed to lift the non-Newtonian fluid is also recorded. This estimation can be used for experimental verification.

scholarly journals Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt

2015 ◽  
Vol 2015 ◽  
pp. 1-4 ◽  
Author(s):  
Fazle Mabood ◽  
Nopparat Pochai
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Adomian Decomposition Method ◽  
Decomposition Methods ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Analytical Technique ◽  
Adomian Decomposition ◽  
Grade Fluid

We have investigated a thin film flow of a third grade fluid on a moving belt using a powerful and relatively new approximate analytical technique known as optimal homotopy asymptotic method (OHAM). The variation of velocity profile for different parameters is compared with the numerical values obtained byRunge-Kutta Fehlberg fourth-fifth ordermethod and with Adomian Decomposition Method (ADM). An interesting result of the analysis is that the three terms OHAM solution is more accurate than five terms of the ADM solution and this thus confirms the feasibility of the proposed method.

scholarly journals Optimal Homotopy Asymptotic Method for a thin film flow of a pseudo plastic fluid draining down or lifting up on a cylindrical surface

2013 ◽  
Vol 19 (4) ◽  
pp. 513-527
Author(s):  
Kamran Alam ◽  
M.T. Rahim ◽  
S. Islam ◽  
A.M. Sidiqqui
Keyword(s):  
Thin Film ◽  
Asymptotic Method ◽  
Cylindrical Surface ◽  
Film Flow ◽  
Vertical Cylinder ◽  
Stokes Number ◽  
Velocity Shear ◽  
Thin Film Flow ◽  
Fluid Velocities ◽  
Optimal Homotopy Asymptotic Method

In this study, the pseudo plastic model is used to obtain the solution for the steady thin film flow on the outer surface of long vertical cylinder for lifting and drainage problems. The non-linear governing equations subject to appropriate boundary conditions are solved analytically for velocity profiles by a modified homotopy perturbation method called the Optimal Homotopy Asymptotic method. Expressions for the velocity profile, volume flux, average velocity, shear stress on the cylinder, normal stress differences, force to hold the vertical cylindrical surface in position, have been derived for both the problems. For the non-Newtonian parameter ?=0, we retrieve Newtonian cases for both the problems. We also plotted and discussed the affect of the Stokes number St, the non-Newtonian parameter ? and the thickness ? of the fluid film on the fluid velocities.

scholarly journals Withdrawal and drainage of thin film flow on a vertical cylinder

2012 ◽  
Vol 7 (41) ◽  
pp. 3554-3565
Author(s):  
M Siddiqui A ◽  
Akram M ◽  
N Memon K ◽  
Islam S ◽  
khan Khalid
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Vertical Cylinder ◽  
Thin Film Flow

scholarly journals MHD and Slip Effect on Two-immiscible Third Grade Fluid on Thin Film Flow over a Vertical Moving Belt

Open Physics ◽  
2019 ◽  
Vol 17 (1) ◽  
pp. 575-586 ◽  
Author(s):  
Zeeshan Khan ◽  
Nasser Tairan ◽  
Wali Khan Mashwani ◽  
Haroon Ur Rasheed ◽  
Habib Shah ◽  
...  
Keyword(s):  
Thin Film ◽  
Adomian Decomposition Method ◽  
Single Layer ◽  
Immiscible Fluids ◽  
Third Grade ◽  
Model Parameters ◽  
Thin Film Flow ◽  
Coupled Equations ◽  
Adomian Decomposition ◽  
Layer Flow

Abstract The present paper related to thin film flows of two immiscible third grade fluids past a vertical moving belt with slip conditions in the presence of uniform magnetic field. Immiscible fluids we mean superposed fluids of different densities and viscosities. The basic governing equations of continuity, momentum and energy are incorporated. The modeled coupled equations are solved analytically by using Adomian Decomposition Method (ADM) along with Homotopy Analysis Method (HAM). The residual errors show the authentication of the present work. For comparison, numerical method (ND-Solve) is also applied and good agreement is found. The effects of model parameters on velocity, skin friction and temperature variation have been studied. At the end, the present study is also compared with single layer flow and revealed in close agreement with the result available in the literature.

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