Hydromagnetic stagnation point flow of a second grade fluid over a stretching sheet
Abbreviated Journal Title
Mech. Res. Commun.
Keywords
Stagnation point flow; Second grade fluid; Stretching sheet; Existence; theorem; Uniqueness theorem; Analytical solution; HOMOTOPY ANALYSIS METHOD; INTERNAL HEAT GENERATION/ABSORPTION; NONLINEAR; DIFFERENTIAL-EQUATIONS; POWER-LAW FLUID; VISCOELASTIC FLUID; POROUS-MEDIUM; MIXED CONVECTION; GENERAL-APPROACH; MASS-TRANSFER; VISCOUS-FLOW; Mechanics
Abstract
We establish the existence and uniqueness results over the semi-infinite interval [0, infinity) for a class of non-linear fourth order ordinary differential equations arising in the hydromagnetic stagnation point flow of a second grade fluid over a stretching sheet In particular, we establish the existence and uniqueness results, and properties of physically meaningful solutions for several sets Of values of the parameters M, K, s, chi and C Then, a method of obtaining analytical solutions for this general class of differential equations is outlined Front such a general method, we are able to obtain ail analytical expression for the shear stress at the wall in terms of the physical parameters of the model Numerical results are Used to illustrate the properties of the velocity field and the shear stress at the wall We find that the viscoelastic parameter K has a smoothing effect on the flow field Further more, an increase in K results in a decrease in the magnitude of the shear stress at the wall (C) 2009 Elsevier Ltd All rights reserved
Journal Title
Mechanics Research Communications
Volume
37
Issue/Number
1
Publication Date
1-1-2010
Document Type
Article
Language
English
First Page
113
Last Page
118
WOS Identifier
ISSN
0093-6413
Recommended Citation
"Hydromagnetic stagnation point flow of a second grade fluid over a stretching sheet" (2010). Faculty Bibliography 2010s. 889.
https://stars.library.ucf.edu/facultybib2010/889
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