Title

Existence Results For Third Order Nonlinear Boundary Value Problems Arising In Nano Boundary Layer Fluid Flows Over Stretching Surfaces

Keywords

Existence and uniqueness results; Nanofluids; Navier boundary condition; Schauder fixed point theorem; Stretching surface

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. © 2011 Elsevier Ltd. All rights reserved.

Publication Date

12-1-2011

Publication Title

Nonlinear Analysis: Real World Applications

Volume

12

Issue

6

Number of Pages

2919-2930

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.nonrwa.2011.02.017

Socpus ID

80052033987 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/80052033987

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