Transformation of Nonstationary Navier-Stokes Equations of a Viscous Compressible Fluid under an Arbitrary Conformal Mapping

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It is shown that, the circulation of velocity and fluid flow on any closed or open contour are preserved under an arbitrary conformal mapping of the two-dimensional viscous compressible flow region. The transformed unsteady Navier-Stokes, continuity and heat balance equations, which govern the aerodynamic parameters in the mapped region, are derived.

Sobre autores

G. Dynnikova

Lomonosov Moscow State University, Research Institute of Mechanics

Autor responsável pela correspondência
Email: dyn@imec.msu.ru
Rússia, Moscow

Bibliografia

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  9. Dynnikova G. Simulation of two-dimensional flow around an elliptical cylinder at high Reynolds numbers // Phys. of Fluids, 2024, vol. 36, no. 023109, pp. 1-6.
  10. Loitsyanskii L.G. Mechanics of Liquids and Gases. Oxford: Pergamon, 1966.

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