Title
Stability analysis of fluid flow over a nonlinearly stretching sheet
Abbreviated Journal Title
Arch. Appl. Mech.
Keywords
Boundary layer flow; Stretching sheet; Stability analysis; VISCOELASTIC FLUID; HEAT-TRANSFER; PLATE; Mechanics
Abstract
We discuss the stability of solutions to a class of nonlinear third-order ordinary differential equations arising in the viscous flow over a nonlinearly stretching sheet. In particular, we consider solutions over the semi-infinite interval [0, a). These results complement the available existence and uniqueness results in the literature. We find that, in general, there is one stable solution branch and one unstable solution branch. Furthermore, it is observed that the stable solution becomes more stable with an increase in the nonlinearity due to the stretching sheet, while the unstable solution branch becomes more unstable given such an increase in the nonlinearity. The stable solution is the physically meaningful solution.
Journal Title
Archive of Applied Mechanics
Volume
81
Issue/Number
8
Publication Date
1-1-2011
Document Type
Article
Language
English
First Page
1087
Last Page
1091
WOS Identifier
ISSN
0939-1533
Recommended Citation
"Stability analysis of fluid flow over a nonlinearly stretching sheet" (2011). Faculty Bibliography 2010s. 1621.
https://stars.library.ucf.edu/facultybib2010/1621
Comments
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