Journal ArticleDOI
MHD squeezing flow of second-grade fluid between two parallel disks
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In this paper, the continuity and momentum equations governing the unsteady two-dimensional flow of a second-grade fluid are reduced to a single differential equation through similarity transformations, and the resulting differential system is computed by a homotopy analysis method.Abstract:
SUMMARY
This paper examines the unsteady two-dimensional flow of a second-grade fluid between parallel disks in the presence of an applied magnetic field. The continuity and momentum equations governing the unsteady two-dimensional flow of a second-grade fluid are reduced to a single differential equation through similarity transformations. The resulting differential system is computed by a homotopy analysis method. Graphical results are discussed for both suction and blowing cases. In addition, the derived results are compared with the homotopy perturbation solution in a viscous fluid (Math. Probl. Eng., DOI: 10.1155/2009/603916). Copyright © 2011 John Wiley & Sons, Ltd.read more
Citations
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Journal ArticleDOI
Irreversibility Analysis and Heat Transport in Squeezing Nanoliquid Flow of Non-Newtonian (Second-Grade) Fluid Between Infinite Plates with Activation Energy
M. Ijaz Khan,Sumaira Qayyum,Seifedine Kadry,Waqar Azeem Khan,Waqar Azeem Khan,Syed Zaheer Abbas,Syed Zaheer Abbas +6 more
TL;DR: In this paper, the authors scrutinize the chemically reactive flow of second-grade nanoliquid between two infinite plates, and the impact of sundry parameters on flow, temperature and concentration fields is studied with the help of graphic illustrations.
Journal ArticleDOI
On squeezing flow of nanofluid in the presence of magnetic field effects
TL;DR: In this paper, the authors investigated the magnetohydrodynamic (MHD) squeezing flow of nanofluid over a porous stretching surface, where Brownian motion and thermophoretic diffusion of nanoparticles were taken into account.
Journal ArticleDOI
Effect of variable lorentz forces on nanofluid flow in movable parallel plates utilizing analytical method
TL;DR: In this article, the effect of Brownian motion and thermophoresis phenomenon and Lewis number on MHD nanofluid flow along with the heat transfer between two parallel plates was examined.
Journal ArticleDOI
Heat transfer and nanofluid flow in suction and blowing process between parallel disks in presence of variable magnetic field
TL;DR: In this paper, a variable magnetic field is applied to the lower stationary disk and the upper disk can move towards or away from the lower disk, and the accuracy of results is examined by fourth order Runge-Kutta numerical method, then the influence of the Squeeze number (S), Hartmann number (M), Brownian motion parameters (Nb), thermophrotic parameter (Nt), Nusselt number (Nu), Sherwood number (Shr), non-dimensional temperature, velocity and nanoparticle concentration are investigated.
Journal ArticleDOI
On squeezed flow of couple stress nanofluid between two parallel plates
Tasawar Hayat,Tasawar Hayat,Rai Sajjad,Ahmed Alsaedi,Taseer Muhammad,Rahmat Ellahi,Rahmat Ellahi +6 more
TL;DR: In this paper, an analytical treatment of magnetohydrodynamic (MHD) squeezing flow of couple stress nanomaterial between two parallel surfaces is provided, and the resulting nonlinear systems have been computed through the homotopic approach.
References
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Journal ArticleDOI
Notes on the homotopy analysis method: Some definitions and theorems
TL;DR: In this article, the basic ideas and current developments of the homotopy analysis method, an analytic approach to get convergent series solutions of strongly nonlinear problems, which recently attracts interests of more and more researchers, are described.
Journal ArticleDOI
Homotopy analysis method for fractional ivps
TL;DR: In this paper, the homotopy analysis method is applied to solve linear and nonlinear fractional initial-value problems (fIVPs), and the fractional derivatives are described by Caputo's sense.
Journal ArticleDOI
Stokes’ first problem for a second grade fluid in a porous half-space with heated boundary
TL;DR: In this paper, a second grade fluid in a porous half-space with a heated flat plate was investigated and exact solutions of the velocity and temperature fields were obtained using Fourier sine transforms.
Journal ArticleDOI
The application of homotopy analysis method to solve a generalized Hirota–Satsuma coupled KdV equation
TL;DR: In this article, an analytic technique, namely the homotopy analysis method (HAM), is applied to solve a generalized Hirota-Satsuma coupled KdV equation, which provides a simple way to adjust and control the convergence region of solution series.
Journal ArticleDOI
Soliton solutions for the fifth-order KdV equation with the homotopy analysis method
TL;DR: In this paper, the homotopy analysis method (HAM) is applied to obtain the soliton solution of the fifth-order KdV equation, which contains the auxiliary parameter ℏ, which provides a simple way to adjust and control the convergence region of series solution.
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