Title
A note on flow geometries and the similarity solutions of the boundary layer equations for a nonlinearly stretching sheet
Abbreviated Journal Title
Arch. Appl. Mech.
Keywords
Similarity solutions; Nonlinear boundary value problems; Existence; results; Ascoli-Arzela theorem; CONTINUOUS SOLID SURFACES; VISCOUS-FLOW; FLUID; DIFFUSION; BEHAVIOR; Mechanics
Abstract
In this note we extend the results of Akyildiz et al. [Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. Mathematical Methods in the Applied Sciences (www.interscience.wiley.com). doi: 10.1002/mma.1181] for any n > 0, where n is a nonlinear stretching parameter. Thus, the proof presented for the existence of the similarity solutions for the boundary layer equation for a nonlinearly stretching sheet presented in Akyildiz et al. hold not only for positive odd integer values of n, but also for any real value of it > 0: That is, n can be any positive real. We accomplish this by defining the stretching velocity of the sheet as u = csgn(x)vertical bar x vertical bar(n), -infinity < x < infinity, at y = 0 (instead of u = cx '', 0 < x < infinity, y = 0) and accordingly modifying the similarity variables. This definition for u at the stretching surface eliminates the restrictions on n in all future research results related to flow and heat transfer over nonlinear stretching surfaces.
Journal Title
Archive of Applied Mechanics
Volume
80
Issue/Number
11
Publication Date
1-1-2010
Document Type
Article
Language
English
First Page
1329
Last Page
U2
WOS Identifier
ISSN
0939-1533
Recommended Citation
"A note on flow geometries and the similarity solutions of the boundary layer equations for a nonlinearly stretching sheet" (2010). Faculty Bibliography 2010s. 896.
https://stars.library.ucf.edu/facultybib2010/896
Comments
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