Title
Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces
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
ISSN
1468-1218
Recommended Citation
"Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces" (2011). Faculty Bibliography 2010s. 1045.
https://stars.library.ucf.edu/facultybib2010/1045
Comments
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