Series solution of unsteady free convection flow with mass transfer along an accelerated vertical porous plate with suction

Zaman, Haider; Ayub, M.

doi:10.2478/s11534-010-0007-y

Cited by 8 publications

(4 citation statements)

References 41 publications

(50 reference statements)

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“…The application of HAM was considered by Nassar [13], as he suggested that by using HAM the solution of the nonlinear Poisson-Boltzmann equation for semiconductor devices was extremely good analytical approximations. Zaman [14] studied the series solution of stagnation point flow with mass transfer along an accelerated vertical porous plate with suction by means of HAM and he found out an exact analytical solution. Also Zaman, H. [15] proposed exact analytic series solution for heat transfer from a continuous surface in a parallel free stream of viscoelastic fluid.…”

Section: Introductionmentioning

confidence: 99%

Analytic Solution for Fluid Flow over an Exponentially Stretching Porous Sheet with Surface Heat Flux in Porous Medium by Means of Homotopy Analysis Method

Ali¹,

Zaman²,

Abidin³

et al. 2015

AJCM

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In this paper, the analytical solution of a viscous and incompressible fluid towards an exponentially stretching porous sheet with surface heat flux in porous medium, for the boundary layer and heat transfer flow, is presented. The equations of continuity, momentum and the energy are transformed into non-linear ordinary differential by using similarity transformation. The solutions of these highly non-linear ordinary differential equations are found analytically by means of Homotopy Analysis Method (HAM). The result obtained by HAM is compared with numerical results presented in the literature. The accuracy of the HAM is indicated by close agreement of the two sets of results. By this method, an expression is obtained which is admissible for all values of effective parameters. This method has the ability to control the convergence of the solution.

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Section: Introductionmentioning

confidence: 99%

Analytic Solution for Fluid Flow over an Exponentially Stretching Porous Sheet with Surface Heat Flux in Porous Medium by Means of Homotopy Analysis Method

Ali¹,

Zaman²,

Abidin³

et al. 2015

AJCM

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“…The effects of a pressure gradient and Hall current on the flow are also taken in to account. The complex analytical solution for the non-linear problem is found by using the homotopy analysis method (HAM) [24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Couette Flow Problem for an Unsteady MHD Third-Grade Fluid With Hall Currents

Azram

Zaman

2014

IIUMEJ

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In this work, we analyze Coutte flow problem for an unsteady mangneto-hydrodynamic (MHD) third-grade fluid in the presence of a pressure gradient and Hall currnts. Existing literature on the topic shows that the effecs of Hall current on Coutte flow of an unsteady MHD third-grade fluid with a prssure gradient has not yet been investigated. The arising non-linear problem is solved by the homotopy analysis method (HAM) and the convergence of the obtained complex series solution is carefully analyzed. The effects of pressure number, Hartmann number and Hall parameter on unsteady velocity are discussed via analysis of plots. ABSTRAK: Kajian dijalan untuk menganalisa masalah aliran Coutte bagi bendalir MHD gred ketiga dan arus Hall. Bagi topik ini kesan arus Hall terhadap aliran Couette dalam bendalir MHD gred ketiga tak mantap dengan kecerunan tekanan, belum pernah dikaji selidik.Â Masalah tak linear berbangkit diselesaikan dengan kaedah analisis homotopi (HAM) dan ketumpuan solusi rangkaian kompleks dianalisa dengan teliti. Kesan nilai tekanan, nombor Hartmann dan parameter Hall terhadap halaju tak mantap diperbincangkan melalui plot yang dianalisis.KEYWORDS: Cuette; flow; hall currents; unsteady; third-grade fluid; HAMÂ

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“…Keeping this all in view, in the present paper, the authors envisage studying the time-dependent Couette flow of incompressible non-Newtonian Eyring-Powell model with porous walls. The resulting unsteady problem is solved by means of homotopy analysis method (HAM) [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58], which is very powerful and efficient in finding the analytic solutions for a wide class of nonlinear differential equations. The method gives more realistic series solution that converges very rapidly in physical problems.…”

Section: Introductionmentioning

confidence: 99%

Unsteady Incompressible Couette Flow Problem for the Eyring-Powell Model with Porous Walls

Zaman¹,

Shah²,

Ibrahim³

2013

AJCM

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This work is concerned with the influence of uniform suction or injection on unsteady incompressible Couette flow for the Eyring-Powell model. The resulting unsteady problem for horizontal velocity field is solved by means of homotopy analysis method (HAM). The characteristics of the horizontal velocity field and wall shear stress are analyzed and discussed. Pade approximants and Taylor polynomials are also found for velocity profile and are used to make the maximum error as small as possible. The graphs of the error for the Pade approximation and Taylor approximation are drawn and discussed. Convergence of the series solution is also discussed with the help of and interval of convergence is also found.-curve 

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Series solution of unsteady free convection flow with mass transfer along an accelerated vertical porous plate with suction

Cited by 8 publications

References 41 publications

Analytic Solution for Fluid Flow over an Exponentially Stretching Porous Sheet with Surface Heat Flux in Porous Medium by Means of Homotopy Analysis Method

Analytic Solution for Fluid Flow over an Exponentially Stretching Porous Sheet with Surface Heat Flux in Porous Medium by Means of Homotopy Analysis Method

Couette Flow Problem for an Unsteady MHD Third-Grade Fluid With Hall Currents

Unsteady Incompressible Couette Flow Problem for the Eyring-Powell Model with Porous Walls

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