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Series solution for heat transfer from a continuous surface in a parallel free stream of viscoelastic fluid
Author(s) -
Zaman H.,
Hayat T.,
Ayub M.,
Gorla R. S. R.
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.20593
Subject(s) - homotopy analysis method , stream function , mathematics , heat transfer , partial differential equation , suction , work (physics) , mechanics , flow (mathematics) , series (stratigraphy) , numerical analysis , thermodynamics , mathematical analysis , homotopy , physics , geometry , vorticity , paleontology , vortex , biology , pure mathematics
This work is concerned with the influence of uniform suction or injection on flow and heat transfer analysis of a second order fluid. The resulting nonlinear problem for velocity is solved by means of homotopy analysis method (HAM). The comparison between the numerical solution of Hady and Gorla (Acta Mec 128 (1998), 201–208 and HAM solution is discussed with the help of numerical tables and graphs. Nonsimilar solutions to the stream function and temperature are developed. The influence of important parameters is seen on the velocity, temperature, skin friction coefficient, and temperature gradient. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1511–1524, 2011