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
Copyright Status
Unknown
Socpus ID
80052033987 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/80052033987
STARS Citation
Talay Akyildiz, F.; Bellout, Hamid; Vajravelu, Kuppalapalle; and Van Gorder, Robert A., "Existence Results For Third Order Nonlinear Boundary Value Problems Arising In Nano Boundary Layer Fluid Flows Over Stretching Surfaces" (2011). Scopus Export 2010-2014. 2315.
https://stars.library.ucf.edu/scopus2010/2315