Analysis of the Secondary Stationary Flow Around an Oscillating Circular Cylinder
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33122
Analysis of the Secondary Stationary Flow Around an Oscillating Circular Cylinder

Authors: Artem Nuriev, Olga Zaitseva

Abstract:

This paper is devoted to the study of a viscous incompressible flow around a circular cylinder performing harmonic oscillations, especially the steady streaming phenomenon. The research methodology is based on the asymptotic explanation method combined with the computational bifurcation analysis. The research approach develops Schlichting and Wang decomposition method. Present studies allow to identify several regimes of the secondary streaming with different flow structures. The results of the research are in good agreement with experimental and numerical simulation data.

Keywords: Oscillating cylinder, Secondary Streaming, Flow Regimes, Asymptotic and Bifurcation Analysis.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1096899

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2174

References:


[1] G.G. Stokes, On the effect of the internal friction of fluids on the motion of pendulums. Trans. Camb. Phil. Soc., Vol. 9, pp. 8–106, 1851.
[2] T. Sarpkaya, M. Isaacson, Mechanics of wave forces on offshore structures, Van Nostrand Reinhold, 1981.
[3] N. D. P. Barltrop, A. J. Adams, Dynamics of fixed marine structures Butterworth-Heinemann, 1991.
[4] E. Naudascher, Flow-Induced Vibrations, An Engineering Guide, Balkema, 1994.
[5] A. G. Yegorov, O. S. Zakharova, The energy-optimal motion of a vibration- driven robot in a resistive medium, J. Appl. Math. Mech., Vol.74, pp. 443–451, 2010.
[6] A. G. Egorov, A. M. Kamalutdinov, A. N. Nuriev, V. N. Paimushin, Theoretical-experimental method for determining the parameters of damping based on the study of damped flexural vibrations of test specimens. 2. Aerodynamic component of damping, Mechanics of Composite Materials Vol. 50, pp. 267–278, 2014.
[7] H. Schlichting, Berechnung ebener periodischer Grenzschichtstrmungen. Phys., Vol. 33, pp. 327–335, 1932.
[8] C.Y. Wang, On high-frequency oscillating viscous flows. J. Fluid Mech., Vol. 32, pp. 55–68, 1968.
[9] Y.A. Kuznetsov, Elements of Applied Bifurcation Theory, Springer, 1995.
[10] M. Tatsuno, P. W. Bearman, A visual study of the flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers and low Stokes numbers. J. Fluid Mech. Vol. 211, p. 157–182, 1990.
[11] J. R Elston, The primary and secondary instabilities of flow generated by an oscillating circular cylinder.J. Fluid Mech. Vol. 550, pp. 359–389, 2006.
[12] P. Justesen, A numerical study of oscillating flow around a circular cylinder. J. Fluid Mech. Vol. 222, pp. 157–196, 1991.
[13] A. N. Nuriev, O. N. Zaitseva, Solution of the problem of oscillatory motion of the circular cylinder in a viscous fluid in the OpenFOAM package. Herald of Kazan Technological University Vol. 8 pp. 116–123, 2013 (in Russian).
[14] A. N. Nuriev, A. G. Egorov, Application of the bifurcation analysis for the fluid mechanics problems. Herald of Kazan Technological University Vol. 4 pp. 104–109, 2013 (in Russian).