Electronic Resource
New York, NY
:
American Institute of Physics (AIP)
Physics of Fluids
5 (1993), S. 1863-1865
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
A new rotation symmetry for steady Hele–Shaw flows is reported. In the case when surface tension is neglected, it is shown that if a curve C moving with constant velocity U is a solution to the Hele–Shaw problem, then the curve C˜ obtained from a rotation of C about its center by an arbitrary angle is also a solution with the same velocity U. Similar results hold for the case with surface tension if and only if the Schwarz function of the curve C is regular in the fluid region and at most a linear function at infinity. Several examples in which this principle is used to generate new solutions to the problem are also discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.858811
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