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The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet

TLDR
The effects of variable viscosity and thermal conductivity on the flow and heat transfer in a laminar liquid film on a horizontal shrinking/stretching sheet are analyzed and the results are presented graphically to interpret various physical parameters appearing in the problem.
Abstract
The effects of variable viscosity and thermal conductivity on the flow and heat transfer in a laminar liquid film on a horizontal shrinking/stretching sheet are analyzed. The similarity transformation reduces the time independent boundary layer equations for momentum and thermal energy into a set of coupled ordinary differential equations. The resulting five-parameter problem is solved by the homotopy perturbation method. The results are presented graphically to interpret various physical parameters appearing in the problem.

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MHD pseudo-plastic nanofluid unsteady flow and heat transfer in a finite thin film over stretching surface with internal heat generation

TL;DR: In this article, the authors investigated flow and heat transfer of magnetohydrodynamic (MHD) pseudo-plastic nanofluid in a finite film over unsteady stretching surface with internal heating effects.
Journal ArticleDOI

Exact analytical solutions for the flow and heat transfer near the stagnation point on a stretching/shrinking sheet in a Jeffrey fluid

TL;DR: In this paper, the authors investigated the flow and heat transfer of Jeffrey fluid near the stagnation point on a stretching/shrinking sheet with a parallel external flow and found that the structure of the solutions strongly depends on a parameter measuring the ratio of strength of the external flow to surface stretching and shrinking.
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Magnetohydrodynamic Nanoliquid Thin Film Sprayed on a Stretching Cylinder with Heat Transfer

TL;DR: In this article, a magnetohydrodynamic thin film nanofluid sprayed on a stretching cylinder with heat transfer is explored, where the basic constitutive equations for the motion and transfer of heat of the thin film with boundary conditions have been converted to nonlinear coupled differential equations with physical conditions by employing appropriate similarity transformations.
Journal ArticleDOI

Three dimensional MHD stagnation flow due to a stretchable rotating disk

TL;DR: In this paper, the effects of rotation and stretching on the stagnation point flow of an electrically conducting fluid on a radially stretchable rotating disk in the presence of a uniform vertical magnetic field were investigated.
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Thin film flow of a second grade fluid in a porous medium past a stretching sheet with heat transfer

TL;DR: In this paper, the steady boundary layer flow and heat transfer properties of a thin film second-grade fluid through a porous medium past a stretching sheet concerning the effect of viscous dissipation were investigated.
References
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Journal ArticleDOI

Flow past a stretching plate

TL;DR: In this paper, a plastischem material fliesst aus einem Spalt with einer Geschwindigkeit, die proportional zum Abstand vom Spalt ist.
Journal ArticleDOI

Homotopy perturbation technique

TL;DR: In this paper, the homotopy perturbation technique does not depend upon a small parameter in the equation and can be obtained uniformly valid not only for small parameters, but also for very large parameters.
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Homotopy perturbation method for solving boundary value problems

TL;DR: Wazwaz et al. as mentioned in this paper applied homotopy perturbation method to nonlinear boundary value problems and compared the result obtained by the present method with that obtained by Adomian method.
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Homotopy Perturbation Method for Bifurcation of Nonlinear Problems

TL;DR: In this article, a simple homotopy is constructed by the modified Lindstedt-Poincare method, by the solution and the coefficient of linear term are expanded into series of the embedding parameter.
Journal ArticleDOI

A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation

TL;DR: In this article, a direct approach to exact solutions of nonlinear partial differential equations is proposed, by using rational function transformations, which provides a more systematical and convenient handling of the solution process of non-linear equations, unifying the tanh-function type methods, the homogeneous balance method, the exp-function method, and the mapping method.
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