The Fine Structure of the Density Field in Two-Dimensional Periodic Flows on the Surface of a Viscous Stratified Liquid

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Abstract

In the linear approximation, the propagation of a periodic disturbance along the free surface of a viscous stratified fluid in a uniform gravitational field is considered, taking into account the action of surface tension. Complete solutions of the linearized system of fundamental equations of the mechanics of heterogeneous fluids, which determine the regular wave and singular ligament components, are obtained. The fine spatial structure of the fields of next physical variables: fluid velocity, momentum, density and density gradient are calculated.

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About the authors

A. A. Ochirov

Ishlinsky Institute for Problems in Mechanics of the RAS

Author for correspondence.
Email: otchirov@mail.ru
Russian Federation, Moscow

Yu. D. Chashechkin

Ishlinsky Institute for Problems in Mechanics of the RAS

Email: yulidch@gmail.com
Russian Federation, Moscow

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