NDLI: Solitary waves on the surface of a viscoelastic fluid running down an inclined plane

Content Provider	Springer Nature Link
Author	Dandapat, Bhabani Shankar Gupta, Anadi Shankar
Copyright Year	1997
Abstract	In this paper, we study the existence and the role of solitary waves in the finite amplitude instability of a layer of a second-order fluid flowing down an inclined plane. The layer becomes unstable for disturbances of large wavelength for a critical value of Reynolds number which decreases with increase in the viscoelastic parameter M. The long-term evolution of a disturbance with an initial cosinusoidal profile as a result of this instability reveals the existence of a train of solitary waves propagating on the free surface. A novel result of this study is that the number of solitary waves decreases with in crease in M. When surface tension is large, we use dynamical system theory to describe solitary waves in a moving frame by homoclinic trajectories of an associated ordinary differential equation.
Starting Page	135
Ending Page	143
Page Count	9
File Format	PDF
ISSN	00354511
Journal	Rheologica Acta
Volume Number	36
Issue Number	2
e-ISSN	14351528
Language	English
Publisher	Steinkopff-Verlag
Publisher Date	1997-01-01
Publisher Place	Darmstadt
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Solitary waves viscoelastic fluid Polymer Sciences Condensed Matter and Material Sciences Materials Processing, Characterization, and Design
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Materials Science

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Solitary waves on the surface of a viscoelastic fluid running down an inclined plane