H. Tabaei, M. A. Moghimi, A. Kimiaeifar, M. A. Moghimi, “Homotopy analysis and differential quadrature solution of the problem of free-convective magnetohydrodynamic flow over a stretching sheet with the Hall effect and mass transfer taken into account”, Prikl. Mekh. Tekh. Fiz., 52:4 (2011), 147–160; J. Appl. Mech. Tech. Phys., 52:4 (2011), 624

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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 4, Pages 147–160 (Mi pmtf1512)

This article is cited in 8 scientific papers (total in 8 papers)

Homotopy analysis and differential quadrature solution of the problem of free-convective magnetohydrodynamic flow over a stretching sheet with the Hall effect and mass transfer taken into account

H. Tabaei^a, M. A. Moghimi^b, A. Kimiaeifar^c, M. A. Moghimi^a

^a Shahid Bahonar University of Kerman, Kerman, 7616914111, Iran
^b Islamic Azad University of Shiraz, Shiraz, Iran
^c Aalborg University, DK-9220, Aalborg, Denmark

Full-text PDF (291 kB) Citations (8)

Abstract: This paper presents an analytical solution of the problem of free-convective magnetohydrodynamic flow over a stretched sheet with the Hall effect and mass transfer taken into account. A similarity transform reduces the Navier–Stokes, energy, Ohm law, and mass-transfer equations to a system of nonlinear ordinary differential equations. The governing equations are solved analytically using an analytical method for solving nonlinear problems, namely, the homotopy analysis method. The results are compared with the results of a promising numerical method of differential quadrature developed by the authors. It is shown that there is very good agreement between analytical results and those obtained by the differential quadrature method. The differential quadrature method was validated, and the effects of non-dimensional parameters on the velocity, temperature and concentration profiles were studied.

Keywords: temperature profiles, velocity distribution, differential quadrature method, Hall effect, Homotopy analysis method, similarity solution.

Received: 12.05.2010

English version:
Journal of Applied Mechanics and Technical Physics, 2011, Volume 52, Issue 4, Pages 624–636
DOI: https://doi.org/10.1134/S002189441104016X

Bibliographic databases:

Document Type: Article

UDC: 538.4

Language: Russian

Citation: H. Tabaei, M. A. Moghimi, A. Kimiaeifar, M. A. Moghimi, “Homotopy analysis and differential quadrature solution of the problem of free-convective magnetohydrodynamic flow over a stretching sheet with the Hall effect and mass transfer taken into account”, Prikl. Mekh. Tekh. Fiz., 52:4 (2011), 147–160; J. Appl. Mech. Tech. Phys., 52:4 (2011), 624–636

Citation in format AMSBIB

\Bibitem{TabMogKim11}

\by H.~Tabaei, M.~A.~Moghimi, A.~Kimiaeifar, M.~A.~Moghimi

\paper Homotopy analysis and differential quadrature solution of the problem of free-convective magnetohydrodynamic flow over a stretching sheet with the Hall effect and mass transfer taken into account

\jour Prikl. Mekh. Tekh. Fiz.

\yr 2011

\vol 52

\issue 4

\pages 147--160

\mathnet{http://mi.mathnet.ru/pmtf1512}

\elib{https://elibrary.ru/item.asp?id=16973571}

\transl

\jour J. Appl. Mech. Tech. Phys.

\yr 2011

\vol 52

\issue 4

\pages 624--636

\crossref{https://doi.org/10.1134/S002189441104016X}

Linking options:

https://www.mathnet.ru/eng/pmtf1512

https://www.mathnet.ru/eng/pmtf/v52/i4/p147

This publication is cited in the following 8 articles:

M. Ferdows, Faris Alzahrani, “Similarity solution of MHD slip with energy mass transport through chemically reacting stretching permeable surface in porous media with variable properties”, Physica A: Statistical Mechanics and its Applications, 545 (2020), 124255
A. S. Butt, M. N. Tufail, A. Ali, “Three-dimensional flow of a magnetohydrodynamic Casson fluid over an unsteady stretching sheet embedded into a porous medium”, J. Appl. Mech. Tech. Phys., 57:2 (2016), 283–292
S. A. Shehzad, T. Hayat, A. Alsaedi, “Flow of a thixotropic fluid over an exponentially stretching sheet with heat transfer”, J. Appl. Mech. Tech. Phys., 57:4 (2016), 672–680
M. N. Tufail, A. S. Butt, A. Ali, “Computational modeling of an MHD flow of a non-Newtonian fluid over an unsteady stretching sheet with viscous dissipation effects”, J. Appl. Mech. Tech. Phys., 57:5 (2016), 900–907
M. Ferdows, M. A. A. Hamad, “MHD flow and heat transfer of a power-law non-Newtonian nanofluid $(\mathrm{Cu}-\mathrm{H}_2\mathrm{O})$ over a vertical stretching sheet”, J. Appl. Mech. Tech. Phys., 57:4 (2016), 603–610
T. Khademinejad, M. R. Khanarmuei, P. Talebizadeh, A. Hamidi, “On the use of the homotopy analysis method for solving the problem of the flow and heat transfer in a liquid film over an unsteady stretching sheet”, J. Appl. Mech. Tech. Phys., 56:4 (2015), 654–666
Krishnendu Bhattacharyya, “MHD Stagnation-Point Flow of Casson Fluid and Heat Transfer over a Stretching Sheet with Thermal Radiation”, Journal of Thermodynamics, 2013 (2013), 1
M.A. Moghimi, H. Tabaei, A. Kimiaeifar, “HAM and DQM solutions for slip flow over a flat plate in the presence of constant heat flux”, Mathematical and Computer Modelling, 58:11-12 (2013), 1704

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Prikladnaya Mekhanika i Tekhnicheskaya Fizika

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