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The quasistationary approximation in the problem of the motion of an isolated volume of a viscous incompressible capillary liquid

โœ Scribed by V.V. Pukhnachev

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
847 KB
Volume
62
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

The equations of the quasistationary approximation in the problem of the motion of an isolated volume of a viscous incompressible capillary liquid are derived from the exact equations using an expansion in a small quasistationary parameter, which is equal to the ratio of the Stokes time to the capillary time. The problem contains yet another dimensionless parameter, which is proportional to the modulus of the conserved angular momentum of the liquid volume, which is also assumed to be small. Depending on the relation between these parameters, three versions of the limiting problem are obtained: the traditional version and two new versions. Asymptotic solutions of the problems which arise when the quasistationary parameter tends to zero are constructed.

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