Email this article SINGULARITY PROBLEM FOR ONE-DIMENSIONAL STEADY-STATE GAS DYNAMICS PROBLEMS
- Authors: Khazov D.E1
-
Affiliations:
- Moscow State University, Institute of Mechanics
- Issue: No 2 (2025)
- Pages: 15-26
- Section: Articles
- URL: https://journal-vniispk.ru/1024-7084/article/view/301708
- DOI: https://doi.org/10.31857/S1024708425020028
- EDN: https://elibrary.ru/FVNPLW
- ID: 301708
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Abstract
The non-stationary problem of wave motions of a viscous incompressible fluid on a rotating plate is considered. An analytical solution of three-dimensional time-dependent hydrodynamic equations is given. The velocity field in flow of a viscous fluid that occupies half-space bounded by a plane wall is determined. The fluid together with the bounding plane rotates as a single whole at a constant angular velocity about a direction non-perpendicular to the plane. Non-stationary flow is induced by suddenly starting longitudinal oscillations of the wall and by injection (suction) of the medium produced along the normal to the wall surface. A number of special cases of wall motion are considered. Based on the obtained results, individual structures of the boundary layers near the wall are investigated.
About the authors
D. E Khazov
Moscow State University, Institute of Mechanics
Email: dkhazov@mail.ru
Moscow, Russia
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