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Stagnation slip flow and heat transfer over a nonlinear stretching sheet
Author(s) -
Abbas Z.,
Hayat T.
Publication year - 2011
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20523
Subject(s) - homotopy analysis method , stagnation point , mathematics , partial differential equation , heat transfer , nonlinear system , stagnation temperature , slip (aerodynamics) , matrix similarity , mechanics , series (stratigraphy) , ordinary differential equation , flow (mathematics) , mathematical analysis , homotopy , thermodynamics , differential equation , geometry , physics , paleontology , quantum mechanics , biology , pure mathematics
Stagnation slip flow and heat transfer characteristics of a viscous fluid over a nonlinear stretching surface has been investigated. The governing partial differential equations are transformed to nonlinear ordinary differential equations using similarity transformations. The analytical solution of the nonlinear system is obtained in series form using the very efficient homotopy analysis method (HAM). Convergence of the series solution is shown explicitly. Important features of flow and heat transfer characteristics are plotted and discussed. Comparison is made with existing numerical results when the stagnation‐point and slip effects are excluded. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2011