Solving two dual problems of splicing vortex and potential flows with Goldshtik's variational method

TL;DR

This paper applies Goldshtik's variational method to solve dual problems involving vortex and potential flows in perfect incompressible fluids, including effects of Coriolis forces, advancing understanding of complex fluid dynamics.

Contribution

It introduces a variational framework for dual vortex and potential flow problems, incorporating Coriolis effects, which is a novel application in fluid dynamics research.

Findings

Formulation of dual problems for vortex and potential flows.

Application of Goldshtik's variational approach to these problems.

Insights into detached flow and Coriolis force influence.

Abstract

The general problem of a perfect incompressible fluid motion with vortex areas and variant constant vorticities is formulated. The M.A. Goldshtik's variational approach is considered on research of dual problems for flows with vortex and potential areas that describe detached flow and a motion model of a perfect incompressible fluid in field of Coriolis forces.