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Transformation of nonstationary Navier–Stokes equations of a viscous compressible fluid under an arbitrary conformal mapping
- Authors: Dynnikova G.Y.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 89, No 1 (2025)
- Pages: 17-25
- Section: Articles
- URL: https://ruspoj.com/0032-8235/article/view/688456
- DOI: https://doi.org/10.31857/S0032823525010023
- EDN: https://elibrary.ru/BOLSMJ
- ID: 688456
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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.
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About the authors
G. Ya. Dynnikova
Lomonosov Moscow State University
Author for correspondence.
Email: dyn@imec.msu.ru
Research Institute of Mechanics
Russian Federation, MoscowReferences
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