Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
  Quarterly of Applied Mathematics
Quarterly of Applied Mathematics
  
Online ISSN 1552-4485; Print ISSN 0033-569X
 

Multiple solutions for hydromagnetic flow of a second grade fluid over a stretching or shrinking sheet


Authors: Robert A. Van Gorder and K. Vajravelu
Journal: Quart. Appl. Math. 69 (2011), 405-424
MSC (2000): Primary 76D03
Published electronically: April 4, 2011
MathSciNet review: 2850738
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We study a class of fourth-order nonlinear differential equations arising in the hydromagnetic flow of a second grade fluid over a stretching or shrinking sheet. Explicit exact solutions are obtained. Furthermore we show that the differential equation may admit zero or one or two physically meaningful solutions depending on the values of the physical parameters of the model. As a special case, we recover the single or the dual solutions and compare them with the available results in the literature. Also, the obtained multiple solutions for several sets of values of the parameters are presented through tables and graphs, and the qualitative behaviors are discussed.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC (2000): 76D03

Retrieve articles in all journals with MSC (2000): 76D03


Additional Information

Robert A. Van Gorder
Affiliation: Department of Mathematics, University of Central Florida, Orlando, Florida 32816
Email: rav@knights.ucf.edu

K. Vajravelu
Affiliation: Department of Mathematics, University of Central Florida, Orlando, Florida 32816
Email: vajravel@pegasus.cc.ucf.edu

DOI: http://dx.doi.org/10.1090/S0033-569X-2011-01211-1
PII: S 0033-569X(2011)01211-1
Keywords: Similarity solution, stretching sheet, shrinking sheet, Navier-Stokes equations, exact solution, hydromagnetic flow, viscoelastic fluid, second grade fluid, multiple solutions.
Received by editor(s): August 15, 2009
Published electronically: April 4, 2011
Article copyright: © Copyright 2011 Brown University
The copyright for this article reverts to public domain 28 years after publication.



Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2015 Brown University
Comments: qam-query@ams.org
AMS Website