On the Flow Field of a Submerged Swirling Non-Self-Similar Jet of Viscous Incompressible Fluid Determined by Exact Integrals of Motion
- Authors: Yavorsky N.I.1
-
Affiliations:
- Kutateladze Institute of Thermophysics SB RAS
- Issue: Vol 89, No 5 (2025)
- Pages: 765-783
- Section: Articles
- URL: https://genescells.com/0032-8235/article/view/696412
- DOI: https://doi.org/10.7868/S3034575825050051
- ID: 696412
Cite item
Abstract
The flow field of a submerged swirling non-self-similar jet is considered, determined by exact integrals of motion: conservation of the total momentum flow, the total angular momentum flow, the total mass flow and the hidden integral of motion. The impact of the twist parameter, flow rate, and hidden integral of motion on the flow is investigated for three physical models of motion sources: a swirling jet flowing from a tube, a jet from a fan with zero flow, and a flow from a vortex vacuum cleaner when the liquid flow rate is negative. A number of nontrivial physical features of the velocity field of a non-self-similar swirling jet due to the nonlinear interaction of motion integrals are revealed. It is shown that the physical effects found in the work can be controlled by setting different values to these integrals of motion, which makes the results of the work universal and have the potential for practical application.
About the authors
N. I. Yavorsky
Kutateladze Institute of Thermophysics SB RAS
Email: nick@itp.nsc.ru
Novosibirsk, Russia
References
- Landau L.D. One New Exact Solution of the Navier–Stokes Equations// Compt. Rend. Acad.Sci.URSS, Dokl. Akad. Nauk SSSR, 1965, vol. 43, pp. 299. https://doi.org/10.1016/b978-0-08-010586-4.50056-0
- Tsukker M.S. Swirling Jet Propagating in Space Flooded by the Same Fluid // PMM, 1955, vol. 19, no. 4, pp. 500–503.
- Gol'dshtik M.A., Yavorsky N.I. Submreged Jets// PMM, 1986, vol. 50, no. 4, pp. 573–583.
- Yavorsky N.I. Theory of Submerged Jets and Wakes. Novosibirsk: Nauka, 1998. (In Russian)
- Yavorsky N.I. On the role of the hidden integral of motion in the theory of non-self-similar submerged jets of a viscous incompressible fluid // J. Appl. Mech. Tech. Phys., 2025, vol. 65, no. 5, pp. 994–1010. http://dx.doi.org/10.1134/S0021894424050201
- Loitsyanskii L.G. Spread of a Swirling Jet in Unbounded Space // PMM, 1953, vol. 17, no. 1, pp. 3–16.
- Rumer Yu.B. Submerged Jet Problem // PMM, 1952, vol. 16, no. 2, pp. 255–256.
- Mullyadzhanov R.I., Yavorskii N.I. Solution of the Problem of Flow of a Non-Axisymmetric Swirling Submerged Jet // J. Appl. Mech. Tech. Phys., 2013, vol. 54, no. 2, pp. 207–211. http://dx.doi.org/10.1134/S0021894413020041
- Triebel H. Interpolation Theory, Function Spaces, Differential Operators. Berlin: Friedrich Schiller University of Jena, 1978. pp. 2–6, 15–528.
- Gol'dshtik M.A. Vortex flows. Moscow: Nauka, 1981. (In Russian)
Supplementary files




