THIN FILM FLOW OF A NON-NEWTONIAN FLUID DOWN A VERTICAL CYLINDER THROUGH A POROUS MEDIUM

2010 ◽  
Vol 13 (11) ◽  
pp. 973-980 ◽  
Author(s):  
S. Nadeem ◽  
M. Awais
Keyword(s):  
Thin Film ◽  
Porous Medium ◽  
Newtonian Fluid ◽  
Film Flow ◽  
Vertical Cylinder ◽  
Thin Film Flow

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 Thin film flow of a second grade fluid in a porous medium past a stretching sheet with heat transfer

2018 ◽  
Vol 57 (2) ◽  
pp. 1019-1031 ◽  
Author(s):  
Noor Saeed Khan ◽  
Saeed Islam ◽  
Taza Gul ◽  
Ilyas Khan ◽  
Waris Khan ◽  
...  
Keyword(s):  
Thin Film ◽  
Heat Transfer ◽  
Porous Medium ◽  
Stretching Sheet ◽  
Film Flow ◽  
Second Grade ◽  
Thin Film Flow ◽  
Second Grade Fluid ◽  
Grade Fluid

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 Entropy Generation in MHD Mixed Convection Non-Newtonian Second-Grade Nanoliquid Thin Film Flow through a Porous Medium with Chemical Reaction and Stratification

Entropy ◽  
2019 ◽  
Vol 21 (2) ◽  
pp. 139 ◽  
Author(s):  
Noor Khan ◽  
Zahir Shah ◽  
Saeed Islam ◽  
Ilyas Khan ◽  
Tawfeeq Alkanhal ◽  
...  
Keyword(s):  
Thin Film ◽  
Mass Transfer ◽  
Porous Medium ◽  
Mixed Convection ◽  
Chemical Reaction ◽  
Entropy Generation ◽  
Film Flow ◽  
Second Grade ◽  
Thin Film Flow ◽  
Flow Through

Chemical reaction in mixed convection magnetohydrodynamic second grade nanoliquid thin film flow through a porous medium containing nanoparticles and gyrotactic microorganisms is considered with entropy generation. The stratification phenomena, heat and mass transfer simultaneously take place within system. Microorganisms are utilized to stabilize the suspended nanoparticles through bioconvection. For the chemical reaction of species, the mass transfer increases. The governing equations of the problem are transformed to nonlinear differential equations through similarity variables, which are solved through a well known scheme called homotopy analysis method. The solution is expressed through graphs and illustrations which show the influences of all the parameters. The residual error graphs elucidate the authentication of the present work.

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