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Stretching a plane surface in a viscoelastic fluid with prescribed skin friction
Author(s) -
Sajid M.,
Hayat T.,
Pop I.
Publication year - 2009
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.20403
Subject(s) - homotopy analysis method , mathematics , nusselt number , partial differential equation , convergence (economics) , parasitic drag , ordinary differential equation , flow (mathematics) , surface (topology) , mathematical analysis , plane (geometry) , homotopy , mechanics , differential equation , boundary layer , geometry , physics , reynolds number , pure mathematics , turbulence , economics , economic growth
A model of forced convection flow due to stretching surface is derived to represent the physical system with prescribed skin friction. To achieve the similar solutions, the partial differential equations are reduced into ordinary differential equations. The analytic solutions of the resulting problems have been obtained by a homotopy analysis method. The convergence of the developed series solution is seen. Finally, the results of velocity, temperature, the stretching velocity, and Nusselt number are analyzed. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009