Title
Stability analysis of the dual solutions for stagnation-point flow over a non-linearly stretching surface
Abbreviated Journal Title
Meccanica
Keywords
Dual solutions; Stability analysis; Existence and uniqueness; Stagnation-point flow; Nonlinearly stretching surface; BOUNDARY-LAYER-FLOW; HEAT-TRANSFER; VERTICAL SURFACE; POROUS-MEDIUM; VISCOUS-FLOW; SHEET; PLATE; Mechanics
Abstract
We formulate a general steady two-dimensional stagnation-point flow problem corresponding to the fluid flow over a non-linearly stretching sheet. We then study the existence, uniqueness and stability of the unsteady solutions about each steady solution. It is found that there exist two solution branches: one branch is always stable while the other is always unstable. Also, it is observed that with an increase in the nonlinearity of the stretching sheet, the stable solution becomes more stable while the unstable solution becomes more unstable. Further, we show that the stable solution is the physically meaningful solution and such a physical solution always exists. Moreover, the physically meaningful solution is shown to be monotone and unique.
Journal Title
Meccanica
Volume
47
Issue/Number
7
Publication Date
1-1-2012
Document Type
Article
Language
English
First Page
1623
Last Page
1632
WOS Identifier
ISSN
0025-6455
Recommended Citation
"Stability analysis of the dual solutions for stagnation-point flow over a non-linearly stretching surface" (2012). Faculty Bibliography 2010s. 2990.
https://stars.library.ucf.edu/facultybib2010/2990
Comments
Authors: contact us about adding a copy of your work at STARS@ucf.edu