On New Numerical Techniques for the MHD Flow Past a Shrinking Sheet with Heat and Mass Transfer in the Presence of a Chemical Reaction

被引：7

作者：

Makukula, Z. G. ^{[2
]}

Sibanda, P. ^{[2
]}

Motsa, S. S. ^{[2
]}

Shateyi, S. ^{[1
]}

机构：

[1] Univ Venda, Dept Math & Appl Math, ZA-0950 Thohoyandou, South Africa

[2] Univ KwaZulu Natal, Sch Math Sci, ZA-3209 Pietermaritzburg, South Africa

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2011年 / 2011卷

基金：

新加坡国家研究基金会;

关键词：

VISCOUS-FLOW; BLASIUS EQUATION; FLUID;

D O I：

10.1155/2011/489217

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We use recent innovative solution techniques to investigate the problem of MHD viscous flow due to a shrinking sheet with a chemical reaction. A comparison is made of the convergence rates, ease of use, and expensiveness (the number of iterations required to give convergent results) of three seminumerical techniques in solving systems of nonlinear boundary value problems. The results were validated using a multistep, multimethod approach comprising the use of the shooting method, the Matlab bvp4c numerical routine, and with results in the literature.

引用

页数：19

共 35 条

[1] A numerical solution of Blasius equation by Adomian's decomposition method and comparison with homotopy perturbation method
Abbasbandy, S.
[J]. CHAOS SOLITONS & FRACTALS, 2007, 31 (01) : 257 - 260
[2] [Anonymous], 2010, INT J MATH MODELS ME
[3] Unsteady three-dimensional boundary layer flow due to a permeable shrinking sheet
Bachok, N.
Ishak, A.
Pop, I.
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2010, 31 (11) : 1421 - 1428
[4] Canuto C., 2012, Spectral Methods in Fluid Dynamics
[5] Numerical solution for the Falkner-Skan equation
Elgazery, Nasser S.
[J]. CHAOS SOLITONS & FRACTALS, 2008, 35 (04) : 738 - 746
[6] Slip Magnetohydrodynamic Viscous Flow over a Permeable Shrinking Sheet
Fang Tie-Gang
Zhang Ji
Yao Shan-Shan
[J]. CHINESE PHYSICS LETTERS, 2010, 27 (12)
[7] Viscous flow over a shrinking sheet with a second order slip flow model
Fang, Tiegang
Yao, Shanshan
Zhang, Ji
Aziz, Abdul
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (07) : 1831 - 1842
[8] Closed-form exact solutions of MHD viscous flow over a shrinking sheet
Fang, Tiegang
Zhang, Ji
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (07) : 2853 - 2857
[9] On unsteady rolling motion of spheres in inclined tubes filled with incompressible Newtonian fluids
Jalaal, M.
Ganji, D. D.
[J]. ADVANCED POWDER TECHNOLOGY, 2011, 22 (01) : 58 - 67
[10] Analytical investigation on acceleration motion of a vertically falling spherical particle in incompressible Newtonian media
Jalaal, M.
Ganji, D. D.
Ahmadi, G.
[J]. ADVANCED POWDER TECHNOLOGY, 2010, 21 (03) : 298 - 304

← 1 2 3 4 →