Capturing the Transient Features of Double Diffusive Thin Film Flow of a Second Grade Fluid Through a Porous Medium

We studied the thin film flow for lifting and drainage problems using an incompressible, nonisothermal modified second grade fluid. We developed nonlinear differential equations from momentum and energy equations, respectively. Series solutions for both lifting and drainage problems are obtained. Expressions for the velocity profile, temperature distribution, volume flux, average film velocity, and shear stress on cylinder for both cases are obtained. Effects of different parameters on the flow problems are presented graphically.

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

Entropy ◽

10.3390/e21020139 ◽

2019 ◽

Vol 21 (2) ◽

pp. 139 ◽

Cited By ~ 28

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

Thermal Science ◽

10.2298/tsci141128054g ◽

2017 ◽

Vol 21 (2) ◽

pp. 875-887 ◽

Cited By ~ 3

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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