Mathematical Physics

    

Using Saint-Venant Equations for Liquid Flows

Authors: Vitaliy Budarin

The method is based on the use of geometry rules for a continuous medium in the form of the Saint-Venant equations. The article transforms the compatibility equations in order to use them in fluid mechanics. The transformation is performed within the framework of the averaged turbulence model and does not use additional restrictions. The resulting compatibility equations for a liquid take into account the influence of the linear (ux, uy, uz) and angular (ωx, ωy, ωz) particle rotation speeds. This means that they describe the turbulent flow mode. Using the conditions ω = 0 or u = 0 allows us to obtain two special cases that are designed for laminar flow and vortex flow with a fixed axis.

Comments: 9 Pages.

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Submission history

[v1] 2023-02-07 12:11:02

Unique-IP document downloads: 252 times

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