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A handy exact solution for flow due to a stretching boundary with partial slip

 

U. Filobello-Nino^a, H. Vazquez-Leal^a, Y. Khan^b, A. Perez-Sesma^a, A. Diaz-Sanchez^c, A. Herrera-May^d, D. Pereyra-Diaz^a, R. Castaneda-Sheissa^b, V.M. Jimenez-Fernandez^a, and J. Cervantes-Perez^a

 

^a University of Veracruz, Electronic Instrumentation and Atmospheric Sciences School, Cto. Gonzalo Aguirre Beltrán S/N, Zona Universitaria, Xalapa, Veracruz, México 91000, e-mail: hvazquez@uv.mx.

^b Department of Mathematics, Zhejiang University, Hangzhou 310027, China.

^c National Institute for Astrophysics, Optics and Electronics, Electronics Department, Luis Enrique Erro #1, Tonantzintla, Puebla, México.

^d Micro and Nanotechnology Research Center, University of Veracruz, Calzada Ruiz Cortines 455, Boca del Río, Veracruz, México, 94292.

 

Received 27 November 2012;
Accepted 21 March 2013.

 

Abstract

In this article we provide an exact solution to the nonlinear differential equation that describes the behaviour of a flow due to a stretching flat boundary due to partial slip. For this, we take as a guide the search for an asymptotic solution of the aforementioned equation.

Keywords: Nonlinear differential equations; partial slip; stretching boundary; non-Newtonian fluids.

PACS: 47.50.-d;47.15.-x.

 

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