Homotopy Analysis Method for the heat transfer of a non-Newtonian fluid flow in an axisymmetric channel with a porous wall

Esmaeilpour, Mehdi; Domairry, G.; Sadoughi, N.; Davodi, A. G.

doi:10.1016/j.cnsns.2009.10.004

Cited by 16 publications

(21 citation statements)

References 21 publications

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“…Thirdly, unlike perturbation techniques, HAM is independent of any small or large parameters. Therefore, several researchers have already applied the HAM successfully for solutions of various problems [24][25][26][27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Travelling Wave Solutions for the Unsteady Flow of a Third Grade Fluid Induced Due to Impulsive Motion of Flat Porous Plate Embedded in a Porous Medium

et al. 2014

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This work describes the time-dependent flow of an incompressible third grade fluid filling the porous half space over an infinite porous plate. The flow is induced due to the motion of the porous plate in its own plane with an arbitrary velocity V(t). Translational type symmetries are employed to perform the travelling wave reduction into an ordinary differential equation of the governing nonlinear partial differential equation which arises from the laws of mass and momentum. The reduced ordinary differential equation is solved exactly, for a particular case, as well as by using the homotopy analysis method (HAM). The better solution from the physical point of view is argued to be the HAM solution. The essentials features of the various emerging parameters of the flow problem are presented and discussed.

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Section: Introductionmentioning

confidence: 99%

Travelling Wave Solutions for the Unsteady Flow of a Third Grade Fluid Induced Due to Impulsive Motion of Flat Porous Plate Embedded in a Porous Medium

et al. 2014

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“…PSGSs are complex nonlinear systems incorporating a great deal of uncertainty in the operation of their hydraulic, mechanical and electrical components [8][9][10][11]. Based on five fundamental conditions (i.e., static, generating and pumping condition as well as generating/pumping transfer to phase modulation), PSGSs provide twenty-four switching modes such as start-up in pumping/generating condition switch to shut-down, start-up in pumping/generating condition switch to load rejection, and static switch to pumping condition due to the different demands of the electricity generation in hydropower stations [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Dynamic safety assessment of a nonlinear pumped-storage generating system in a transient process

Chen

Arzaghi

et al. 2019

Communications in Nonlinear Science and Numerical Simulation

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This paper focuses on a pumped-storage generating system with a reversible Francis turbine and presents an innovative framework for safety assessment in an attempt to overcome their limitations. Thus the aim is to analyze the dynamic safety process and risk probability of the above nonlinear generating system. This study is carried out based on an existing pumped-storage power station. In this paper we show the dynamic safety evaluation process and risk probability of the nonlinear generating system using Fisher discriminant method. A comparison analysis for the safety assessment is performed

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“…In recent years, much attention has been devoted to the newly developed methods for constructing an analytic solution of an equation; such methods include the homotopy analysis method (HAM) [12][13][14][15][16][17][18][19], the homotopy perturbation method (HPM) [20][21][22][23][24][25][26], and the variational iteration method (VIM) [27][28][29][30][31][32]. Perturbation techniques are too strongly dependent upon the so-called ''small parameters''.…”

Section: Introductionmentioning

confidence: 99%

Solution of the Jeffery–Hamel flow problem by optimal homotopy asymptotic method

Esmaeilpour

Ganji

2010

Computers & Mathematics with Applications

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a b s t r a c tThe present article addresses Jeffery-Hamel flow: fluid flow between two rigid plane walls, where the angle between them is 2α. A new analytical method called the optimal homotopy asymptotic method (OHAM) is briefly introduced, and then employed to solve the governing equation. The validity of the homotopy asymptotic method is ascertained by comparing our results with numerical (Runge-Kutta method) results. The effects of the Reynolds number (Re) and the angle between the two walls (2α) are highlighted in the proposed work. The results reveal that the proposed analytical method can achieve good results in predicting the solutions of such problems.

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Homotopy Analysis Method for the heat transfer of a non-Newtonian fluid flow in an axisymmetric channel with a porous wall

Cited by 16 publications

References 21 publications

Travelling Wave Solutions for the Unsteady Flow of a Third Grade Fluid Induced Due to Impulsive Motion of Flat Porous Plate Embedded in a Porous Medium

Travelling Wave Solutions for the Unsteady Flow of a Third Grade Fluid Induced Due to Impulsive Motion of Flat Porous Plate Embedded in a Porous Medium

Dynamic safety assessment of a nonlinear pumped-storage generating system in a transient process

Solution of the Jeffery–Hamel flow problem by optimal homotopy asymptotic method

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