0
BRIEF NOTES

Finite-Amplitude Elastic Instability of Plane-Poiseuille Flow of Viscoelastic Fluids

[+] Author and Article Information
R. E. Khayat, N. Ashrafi

Department of Mechanical and Materials Engineering, University of Western Ontario, London, Ontario N6A 5B9, Canada

J. Appl. Mech 67(4), 834-837 (Jul 27, 1999) (4 pages) doi:10.1115/1.1308580 History: Received April 28, 1999; Revised July 27, 1999
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Steady-state shear stress versus shear-rate curves for ζ=0.2 and ε∊[0,1]. The loci of the two extrema are also shown, which join into one curve denoted here by γ̇c. The curves in the figure resemble the pressure/stretch-ratio related to the inflation of a Mooney-Rivlin material (see Fig. 2 in 20).
Grahic Jump Location
Bifurcation diagrams for the normal stress difference, N(0,∞), at the center of the channel as function of We for ζ=0.2 and ε∊[0.06,0.08]. The smallest diagram corresponds to the highest viscosity ratio, ε. As ε exceeds a critical level (in this case 1/8), the (closed) diagram reduces to zero, as the base flow is always stable. The branches AB, CD, EF, and GH of diagram ε=0.06 are unstable, whereas the branches BC, DE, EF, FG, and HA are stable.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In