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.

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作者简介

G. Dynnikova

Lomonosov Moscow State University

编辑信件的主要联系方式.
Email: dyn@imec.msu.ru

Research Institute of Mechanics

俄罗斯联邦, Moscow

参考

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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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