The application of homotopy analysis method to solve nonlinear differential equation governing Jeffery–Hamel flow

Domairry, Dr.G.; Mohsenzadeh, Afshin; Famouri, M.

doi:10.1016/j.cnsns.2007.07.009

Cited by 91 publications

(39 citation statements)

References 32 publications

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“…Note that such heat transfer effects have not been discussed so for even for viscous flow presented in Reference [7]. The relevant problems are formulated and analytic solutions are developed.…”

Section: T Hayat M Nawaz and M Sajidmentioning

confidence: 99%

“…The objective of the present study is to discuss the viscous flow analysis of Reference [7] for heat transfer characteristics in a second-grade fluid. Note that such heat transfer effects have not been discussed so for even for viscous flow presented in Reference [7].…”

Section: T Hayat M Nawaz and M Sajidmentioning

confidence: 99%

“…Banks et al [6] studied the perturbation analysis of Jeffery-Hamel flows. In recent time Domairy et al [7] developed the series solution for Jeffery-Hamel flow of viscous fluid by homotopy analysis method (HAM).…”

Section: Introductionmentioning

confidence: 99%

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Effect of heat transfer on the flow of a second‐grade fluid in divergent/convergent channel

Hayat

Nawaz

Sajid

2009

Numerical Methods in Fluids

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SUMMARYThis paper studies the effects of a second-grade fluid on the flow and heat transfer characteristics in a divergent/convergent channel. The momentum and energy equations are first given in a nondimensional form and then solved analytically using the method of homotopy analysis method. Convergence of derived series solutions is shown. Graphical results for the velocity and the temperatures are presented and discussed for various emerging parameters.

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Section: T Hayat M Nawaz and M Sajidmentioning

confidence: 99%

Section: T Hayat M Nawaz and M Sajidmentioning

confidence: 99%

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Effect of heat transfer on the flow of a second‐grade fluid in divergent/convergent channel

Hayat

Nawaz

Sajid

2009

Numerical Methods in Fluids

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“…Also, Mehmood et al (2006) and(2008). Then, Liao (2009), Fakhari et al (2007 and Domairry et al (2008), Domairry et al (2009 Tan et al (2008), Ali et al (2008) and Ziabakhsh et al (2009) in a wide variety of scientific and engineering applications to solve different types of governing differential equations: linear and non-linear, homogeneous and non-homogeneous, and coupled and decoupled as well. This method offers highly accurate successive approximations of the solution.…”

Section: Introductionmentioning

confidence: 99%

Hydromagnetic Viscous Fluid Over a Non-Linear Stretching and Shrinking Sheet in the Presence of Thermal Radiation

Abdelmeguid¹

2017

Frontiers in Heat and Mass Transfer

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In this paper, the effects of suction/blowing and thermal radiation on a hydromagnetic viscous fluid over a non-linear stretching and shrinking sheet are investigated. A similarity transformation is used to reduce the governing equations to a set of nonlinear ordinary differential equations. The system of equations is solved analytically employing homotopy analysis method (HAM). Convergence of the HAM solution is checked. The resulting similarity equations are solved numerically using Matlab bvp4c numerical routine. It is found that dual solutions exist for this particular problem. The comparison of analytical solution and numerical solution for the velocity profile is an excellent agreement.

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“…Jeffery-Hamel flows are exact similarity solutions of the Navier-Stokes equations in the special case of two-dimensional flow through a channel with inclined plane walls meeting at a vertex, and with a source or sink at the vertex. A lot of papers propose different methods to solve the nonlinear magnetohydrodynamics (MHD) Jeffery-Hamel blood flow problem: numerical solutions [3], analytical solutions [4][5][6][7][8], or solutions obtained via stochastic numerical methods based on computational intelligence techniques [9].…”

Section: Introductionmentioning

confidence: 99%

Some new remarks on MHD Jeffery-Hamel fluid flow problem

Ene

Pop

2017

Open Physics

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The application of homotopy analysis method to solve nonlinear differential equation governing Jeffery–Hamel flow

Cited by 91 publications

References 32 publications

Effect of heat transfer on the flow of a second‐grade fluid in divergent/convergent channel

Effect of heat transfer on the flow of a second‐grade fluid in divergent/convergent channel

Hydromagnetic Viscous Fluid Over a Non-Linear Stretching and Shrinking Sheet in the Presence of Thermal Radiation

Some new remarks on MHD Jeffery-Hamel fluid flow problem

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