# Solitary Vortex Pairs in Viscoelastic Couette Flow

@article{Groisman1997SolitaryVP, title={Solitary Vortex Pairs in Viscoelastic Couette Flow}, author={Alex Groisman and Victor Steinberg}, journal={Physical Review Letters}, year={1997}, volume={78}, pages={1460-1463} }

We report experimental observation of a localized structure, which is of a new type for dissipative systems. It appears as a solitary vortex pair (``diwhirl'') in Couette flow with highly elastic polymer solutions. In contrast to the usual solitons the diwhirls are stationary. It is also a new object in fluid dynamics---a pair of vortices that build a single entity. The diwhirls arise as a result of a purely elastic instability through a hysteretic transition at negligible Reynolds numbers. It… Expand

#### 59 Citations

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#### References

SHOWING 1-10 OF 14 REFERENCES

Solitons in mathematics and physics

- Physics
- 1987

The History of the Soliton Derivation of the Korteweg-de Vries, Nonlinear Schrodinger and Other Important and Canonical Equations of Mathematical Physics Soliton Equation Families and Solution… Expand

Nature (London)382

- 793
- 1996

Phys

- Rev. Lett. 77, 1480
- 1996

Phys

- Rev Lett. 76, 3959
- 1996

Physica (Amsterdam) 92D

- 69
- 1995

Rev

- Mod. Phys. 65, 851
- 1993

Phys

- Rev. Lett. 64, 282
- 1990

Rheol

- Acta 28, 402
- 1989

Ch

- Curtiss, R. C. Armstrong, and O. Hassage Dynamics of Polymeric Liquids
- 1987