HYDRAULICS. ENGINEERING HYDROLOGY. HYDRAULIC ENGINEERING

Transformation model of modified Couette vortex along the channel

Vestnik MGSU 7/2014
  • Zuykov Andrey L'vovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Department of Hydraulics and Water Resources, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoye shosse, Moscow, 129337, Russian Federation; +7 (495)287-49-14, ext. 14-18; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 147-155

The article is a further research of a circular-longitudinal flow created in a cylindrical pipe by a continuous swirler called Couette vortex, which the author started to study in his previous works. The key question is how Couette modified vortex is transformed along the channel (pipe). The author regards variation of azimuthal velocities (
u) and the Heeger-Baer’s swirl number (
Sn) in turbulent irregular circular-longitudinal flow, which is described by the model of modified Couette vortex along the cylindrical channel. It is confirmed that the model of the modified Couette vortex and free-forced Burgers - Batchelor vortex show almost similar results in calculations and both vortex models can be equally used in engineering practice in calculations and the analysis of circulating and longitudinal flow operating modes (vortex flows).

DOI: 10.22227/1997-0935.2014.7.147-155

References
  1. Zuykov A.L. Modifitsirovannyy vikhr' Kuetta [Modified Couette Vortex]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2010, no. 4, pp. 66—71.
  2. Chinh M.T. Turbulence Modeling of Confined Swirling Flows. Roskilde. Riso National Laboratory, 1998, Riso-R-647(EN), ð. 32.
  3. Fernandez-Feria R., Fernandez de la Mora J.,Barrero A. Solution Breakdown in a Family of Self-similar Nearly Inviscid Oxisymmetric Vortices. Journal of Fluid Mechanics. 1995, no. 305, ðð. 77—91.
  4. Delery J.M. Aspects of Vortex Breakdown. Progr. Aerospace Sci. 1994, vol. 30, no. 1, ð. 59. DOI: http://dx.doi.org/10.1016/0376-0421(94)90002-7.
  5. Kitoh O. Experimental Study of Turbulent Swirling Flow in a Straight Pipe. Journal of Fluid Mechanics. 1991, vol. 225, pp. 445—479. DOI: http://dx.doi.org/10.1017/S0022112091002124 (About DOI).
  6. Saburov E.N., Karpov S.V., Ostashev S.I. Teploobmen i aerodinamika zakruchennogo potoka v tsiklonnykh ustroystvakh [Heat Transfer and Aerodynamics of Swirling Flow in Cyclone Devices]. Leningrad, Leningrad State University Publ., 1989, 176 p.
  7. Vatistas G.H., Lin S., Kwok C.K. An Analytical and Experimental Study on the Coresize and Pressure Drop across a Vortex Chamber. AIAA Paper, 17th Fluid Dynamics, Plasma Dynamics, and Lasers Conference. 1984, no. 84—1548, 24 p.
  8. Gupta A.K., Lilley D., Syred N. Swirl Flows. London, Abacus Press, 1984, 475 p. DOI: http://dx.doi.org/10.1016/0010-2180(86)90133-1.
  9. Escudier M., Bornstein J., Zehnder N. Observations and LDA Measurements of Confined Turbulent Vortex Flow. Journal of Fluid Mechanics. 1980, vol. 98, no. 1, ðð. 49—64. DOI: http://dx.doi.org/10.1017/S0022112080000031.
  10. Zuykov A.L. Radial'no-prodol'noe raspredelenie azimutal'nykh skorostey v techenii za lokal'nym zavikhritelem [Radially-longitudinal Distribution of Azimuthal Velocities in the Flow Behind Local Swirler]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2011, no. 2, pð. 119—123.
  11. Zuykov A.L. Approksimiruyushchie profili tsirkulyatsionnykh kharakteristik zakruchennogo techeniya [Approximating Profiles of the Circulation Characteristics of a Swirling Flow]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2011, no. 5, pp. 185—190.
  12. Zuykov A.L. Analiz izmeneniya profilya tangentsial'nykh skorostey v techenii za lokal'nym zavikhritelem [Analysis of Changes in the Profile of the Tangential Velocities in the Flow Behind Local Swirler]. Vestnik MGSU [Proceedings of the Moscow State University of Civil Engineering]. 2012, no. 5, pp. 23—28.
  13. Burgers J.M. A Mathematical Model Illustrating Theory of Turbulence. Advances in Applied Mechanics. 1948, no. 1, ðp. 171—199.
  14. Batchelor G.K. An Introduction to Fluid Dynamics. Cambridge University Press. New Ed. 2002, 631 p.
  15. Zuykov A.L. Gidrodinamika tsirkulyatsionnykh techeniy [Hydrodynamics of Circulating Currents]. Moscow. Association of Building Institutions of Higher Education Publ., 2010, 216 p.
  16. Kiselyov P.G., editor. Spravochnik po gidravlicheskim raschetam [Handbook of Hydraulic Calculations]. 4th Edition. Moscow. Energiya Publ., 1972, 312 p.
  17. Zuykov A.L. Kriterii dinamicheskogo podobiya tsirkulyatsionnykh techeniy [Criteria of Dynamic Similarity of Circulating Flow]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2010, no. 3, ðp. 106—112.

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CREEPING COUNTER VORTEX FLOW

Vestnik MGSU 4/2013
  • Orekhov Genrikh Vasil’evich - Moscow State University of Civil Engineering (MGSU) Candidate of Technical Sciences, Associate Professor, Chair, Department of Hydroelectric Engineering and Use of Aquatic Resources; +7 (499) 182-99-58, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Zuykov Andrey L’vovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Chair, Department of Hydraulics; +7(495)287-49-14, ext. 14-18, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Volshanik Valeriy Valentinovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Professor, Department of Hydroelectric Engineering and Use of Aquatic Resource, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 172-180

The authors have performed an analytical research into one of the most complex types of heterogeneous 3D flows of fluids and gases, that is, a creeping counter vortex flow. The “creeping counter vortex flow” is the flow that is formed as a result of interaction between two or more slow concurrent co-axial circulatory longitudinal flows swirling in the opposite directions.Creeping flows are typical for numerous structural elements of machines, mechanisms, items of equipment and devices, if the flow velocity or cross dimensions of channels are small or, alternatively, if the viscosity of the fluid is high. This model designed by the coauthors, serves as the basis for the hydrodynamic theory of lubrication. If the flow velocity is small and the viscosity of the liquid media is substantial, inertial convective summands can be ignored for Navier — Stokes equations.The coauthors believe that the research into the phenomena of the creeping counter vortex flow as one of the types of heterogeneous 3D flows of fluids and gases has a strong potential in space technologies, and it may be elaborated in further research projects to be developed by the coauthors.

DOI: 10.22227/1997-0935.2013.4.172-180

References
  1. Korn G., Korn T. Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov [Reference Book of Mathematics for Researchers and Engineers]. Moscow, Nauka Publ., 1970, 720 p.
  2. Zuykov A.L. Analiz izmeneniya profilya tangentsial’nykh skorostey v techenii za lokal’nym zavihritelem [Analysis of Changes in the Profile of Tangential Velocities of the Flow Shaped Up by the Local Swirler]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering], 2012, no. 5, pð. 23—28.

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REFINEMENT OF THE AZIMUTHAL VELOCITY IN THE FLOW BEHIND LOCAL SWIRLER

Vestnik MGSU 1/2012
  • Zuykov Andrey Livovich - Moscow State University of Civil Engineering PhD, Head of the Department of Hydraulics +7-(495)-287-49-14 * 14-18, Moscow State University of Civil Engineering, 26, Jaroslavskoe Shosse, 129337, Moscow, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 51 - 56

The article discusses refinement distribution of the azimuthal velocity in the circulation flow a viscous incompressible fluid in a tube, at the entrance to which is installed local swirler.

DOI: 10.22227/1997-0935.2012.1.51 - 56

References
  1. Zuykov A.L. Profili tangencial'nyh skorostej v cirkuljacionnom techenii v trube [Profiles of tangential speeds in a circulation flow in a pipe] // Vestnik MGSU [Proceedings of the Moscow State University of Civil Engineering], 2009, no 3, Pp. 195—199.
  2. Zuykov A.L. Raspredelenie prodol'nyh skorostej v cirkuljacionnom techenii v trube [Distribution axial velocity in the circulation flow in a tube] // Vestnik MGSU [Proceedings of the Moscow State University of Civil Engineering], 2009, no 3, Pp. 200—204.
  3. Zuykov A.L. Funkcija toka i zona recirkuljacii v laminarnom techenii s zakrutkoj [The stream function and recirculation zone in a laminar flow with a twist] // Vestnik MGSU [Proceedings of the Moscow State University of Civil Engineering], 2009, Special Issue no 2, Pp. 91—95.
  4. Zuykov A.L. Vihrevaja struktura i tenzor naprjazhenij v laminarnom techenii s zakrutkoj [Vortex structure and the stress tensor in a laminar flow with a twist] // Vestnik MGSU [Proceedings of the Moscow State University of Civil Engineering], 2009, Special Issue no 2, Pp. 95—99.
  5. Zuykov A.L. Gidrodinamika cirkuljacionnyh techenij [Hydrodynamics of the circulation flows]. Moscow, Publishing house ÀÑÂ, 2010, 216 p.
  6. Zuykov A.L. Radial'no-prodol'noe raspredelenie azimutal'nyh skorostej v techenii za lokal'nym zavihritelem [Radially-longitudinal distribution azimuthal velocity in the flow behind local swirler] // Vestnik MGSU [Proceedings of the Moscow State University of Civil Engineering], 2011, no 2, Pp. 119—123.
  7. Batchelor G.K. Axial flow in trailing line vortices // J. Fluid Mech., 1964, Vol. 20, no 4, Pp. 645—658.
  8. Korn G., Korn T. Spravochnik po matematike dlja nauchnyh rabotnikov i inzhenerov [Mathematical handbook for scientists and engineers]. Moscow, Nauka, 1970, 720 p.
  9. Zuykov A.L. Modificirovannyj vihr' Kujetta [Modified Couette vortex] // Vestnik MGSU [Proceedings of the Moscow State University of Civil Engineering], 2010, no 4, Vol. 2, Pp. 66—71.
  10. Krivchenko G.I., Ostroumov S.N. Vysokonapornaja vodosbrosnaja sistema s vihrevym zatvorom [High-pressure system with a vortex spillway gate] // Gidrotehnicheskoe stroitel'stvo [Hydraulic engineering], 1972, no 10, Pp. 33—35.
  11. Volshanik V.V., Zuykov A.L., Mordasov A.P. Zakruchennye potoki v gidrotehnicheskih sooruzhenijah [Swirl flows in hydraulic engineering constractions]. Moscow, Energoatomizdat, 1990, 280 p.

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