Email this article Transformation of Nonstationary Navier-Stokes Equations of a Viscous Compressible Fluid under an Arbitrary Conformal Mapping
- Authors: Dynnikova G.Y.1
-
Affiliations:
- Lomonosov Moscow State University, Research Institute of Mechanics
- Issue: Vol 89, No 1 (2025)
- Pages: 17-25
- Section: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/303540
- DOI: https://doi.org/10.31857/S0032823525010023
- EDN: https://elibrary.ru/BOLSMJ
- ID: 303540
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Abstract
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.
About the authors
G. Ya. Dynnikova
Lomonosov Moscow State University, Research Institute of Mechanics
Author for correspondence.
Email: dyn@imec.msu.ru
Russian Federation, Moscow
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