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Enstrophy Dynamics for Flow Past a Solid Body With No-Slip Boundary Condition | Synapse

March 29, 2026Известия Российской академии наук Механика жидкости и газа / Fluid Dynamics0 citations

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Enstrophy Dynamics for Flow Past a Solid Body With No-Slip Boundary Condition

AGA.V. Gorshkov

Key Points

The research aims to understand how boundary vorticity affects enstrophy dynamics for flows around streamlined bodies.
Derived a new energy identity incorporating boundary values of the vortex function.
Analyzed enstrophy dissipativity for the Stokes system.
Formulated a new equation for enstrophy dynamics in the Navier–Stokes system.
Proved the dissipativity of enstrophy for the Stokes system.
Presented a new enstrophy dynamics equation for the Navier-Stokes system.

Abstract

In the paper we study the impact of the boundary vorticity distribution on the dynamics of enstrophy for flows around streamlined bodies. A new energy identity is derived in the article, which includes the boundary values of the vortex function. For the Stokes system the dissipativity of enstrophy is proved. For the Navier–Stokes system a new equation of the enstrophy dynamics is obtained.

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Cite This Study

A.V. Gorshkov (Wed,) studied this question.

synapsesocial.com/papers/69c8c2a4de0f0f753b39cf75 https://doi.org/https://doi.org/10.7868/s3034534025040027