Hele-Shaw Flows: Historical Overview
Hele-Shaw Flows: Historical Overview
Hele-Shaw Flows: Historical Overview
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First exact solution<br />
P. Ya. Polubarinova-Kochina, L. A. Galin (1945)<br />
A polynomial solution f(ζ,t) = a1(t)ζ + a2(t)ζ 2 under<br />
suction:<br />
7.5<br />
5<br />
2.5<br />
0<br />
-2.5<br />
-5<br />
-7.5<br />
-7.5 -5 -2.5 0 2.5 5 7.5<br />
BIRS, Canada, July 2007 – p. 46