Title

Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces

Authors

Authors

F. T. Akyildiz; H. Bellout; K. Vajravelu;R. A. Van Gorder

Comments

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Abbreviated Journal Title

Nonlinear Anal.-Real World Appl.

Keywords

Nanofluids; Navier boundary condition; Existence and uniqueness results; Schauder fixed point theorem; Stretching surface; VISCOUS-FLOW; SHEET; Mathematics, Applied

Abstract

Solutions for a class of degenerate, nonlinear, nonlocal boundary value problems, arising in nano boundary layer fluid flows over a stretching surface, are obtained. Viscous flows over a two-dimensional stretching surface and an axisymmetric stretching surface are considered. Using the Schauder fixed point theorem, existence and uniqueness results are established. The effects of the slip parameter k and the suction parameter a on the fluid velocity and on the tangential stress are investigated and discussed (through numerical results). We find that for fluid flows at nanoscales, the shear stress at the wall decreases (in an absolute sense) with an increase in the slip parameter k. (C) 2011 Elsevier Ltd. All rights reserved.

Journal Title

Nonlinear Analysis-Real World Applications

Volume

12

Issue/Number

6

Publication Date

1-1-2011

Document Type

Article

Language

English

First Page

2919

Last Page

2930

WOS Identifier

WOS:000295232900001

ISSN

1468-1218

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