Thin film flow of an unsteady shrinking sheet through porous medium with variable viscosity

2008 ◽  
Vol 372 (30) ◽  
pp. 4965-4972 ◽  
Author(s):  
S. Nadeem ◽  
M. Awais
Keyword(s):  
Thin Film ◽  
Porous Medium ◽  
Film Flow ◽  
Variable Viscosity ◽  
Shrinking Sheet ◽  
Thin Film Flow

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

Thin Film Flow of a Third Grade Fluid with Variable Viscosity

2009 ◽  
Vol 64 (9-10) ◽  
pp. 553-558 ◽  
Author(s):  
Sohail Nadeem
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Variable Viscosity ◽  
Nonlinear Differential Equations ◽  
Third Grade ◽  
Outer Side ◽  
Physical Parameters ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Grade Fluid

The effects of variable viscosity on the flow and heat transfer in a thin film flow for a third grade fluid has been discussed. The thin film is considered on the outer side of an infinitely long vertical cylinder. The governing nonlinear differential equations of momentum and energy are solved analytically by using homotopy analysis method. The expression for the viscous dissipation and entropy generation are also defined. The graphical results are presented for various physical parameters appearing in the problem

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.

scholarly journals Unsteady magnetohydrodynamics thin film flow of a third grade fluid over an oscillating inclined belt embedded in a porous medium

2017 ◽  
Vol 21 (2) ◽  
pp. 875-887 ◽  
Author(s):  
Fazal Ghani ◽  
Taza Gul ◽  
Saeed Islam ◽  
R.A. Shah ◽  
Ilyas Khan ◽  
...  
Keyword(s):  
Thin Film ◽  
Porous Medium ◽  
Film Flow ◽  
Analytical Techniques ◽  
Heat Transfer Analysis ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Linear Partial Differential Equations ◽  
Grade Fluid

In the present work we examine the motion of an incompressible unidirectional magnetohydrodynamics thin film flow of a third grade fluid over an oscillating inclined belt embedded in a porous medium. Moreover, heat transfer analysis has been also discussed in the present work. This physical problem is modeled in terms of non-linear partial differential equations. These equations together with physical boundary conditions are solved using two analytical techniques namely optimal homotopy asymptotic method and homotopy perturbation method. The comparisons of these two methods for different time level are analyzed numerically and graphically. The results exposed that both methods are in closed agreement and they have identical solutions. The effects of various non-dimensional parameters have also been studied graphically.

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