In this paper, the problem of flow and diffusion of chemically reactive species over a nonlinearly stretching sheet immersed in a porous medium is presented and the homotopy analysis method (HAM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. It has been attempted to show capabilities and wide-range applications of the homotopy analysis method in comparison with the numerical method in solving this problem. The obtained Solutions in comparison with the numerical solutions provide a remarkable accuracy. Finally, the effect of various parameters oil this problem is studied. (C) 2009 Taiwan Institute of Chemical Engineers. Published by Elsevier B.V. All rights reserved.
机构:
State Key Lab Ocean Engn, Shanghai, Peoples R China
Shanghai Jiao Tong Univ, Sch Naval Architecture, Shanghai 200240, Peoples R ChinaState Key Lab Ocean Engn, Shanghai, Peoples R China
机构:
Univ KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-3209 Pietermaritzburg, South AfricaUniv KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-3209 Pietermaritzburg, South Africa
Makanda, Gilbert
Shaw, Sachin
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Univ KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-3209 Pietermaritzburg, South AfricaUniv KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-3209 Pietermaritzburg, South Africa
Shaw, Sachin
Sibanda, Precious
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Univ KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-3209 Pietermaritzburg, South AfricaUniv KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-3209 Pietermaritzburg, South Africa