Abstract
This paper considers methods for controlling secondary flows near an oscillating circular cylinder by changing two process control parameters: the dimensionless amplitude and the vibrational Reynolds number. A direct numerical modeling study is performed. It is shown that by varying the indicated parameters in a relatively small range, it is possible not only to intensify mass transfer processes, but also to change the direction of the main secondary flows.
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References
M. Faraday, “On a Peculiar Class of Acoustical Figures; and on Certain Forms Assumed by Groups of Particles upon Vibrating Elastic Surfaces,” Philos. Trans. Roy. Soc. London 121, 299–430 (1831).
Lord Rayleigh, “On the Circulation of Air Observed in Kundt’s Tubes, and on Some Allied Acoustical Problems,” Philos. Trans. Roy. Soc. London 175, 1–21 (1884).
H. Schlichting, Boundary-Layer Theory (McGraw-Hill, New York, 1974).
N. Riley and B. Yan, “Inviscid Fluid-Flow around a Submerged-Circular-Cylinder by Free-Surface Traveling Waves,” J. Eng. Math. 30, 587–601 (1996).
L. D. Rosenberg, Physics and Technology of Powerful Ultrasound (Nauka, Moscow, 1967).
A. P. Burdukov and V. E. Nakoryakov, “On Mass Transfer in an Acoustic Field,” Prikl. Mekh. Tekh. Fiz., No. 2, 62–66 (1965) [J. Appl. Mech. Tech. Phys. No. 2, 51–55 (1965)].
V. I. Rodchenkov and D. A. Sergeev, “Fluid Flows Induced by Focused Ultrasound and Their Use in Single-Crystal Growth,” Prikl. Mekh. Tekh. Fiz. 50 (4), 11–17 (2009) [J. Appl. Mech. Tech. Phys. 50 (4), 553–557 (2009)].
K. D. Frampton, S. E. Martin, and K. Minor, “The Scaling of the Acoustic Streaming for Applications in Micro-Fluidic Devices,” Appl. Acoust. 64, 681–692 (2003).
B. R. Lutz, J. Chen, and D. T. Schwartz, “Microfluidics without Microfabrication,” Proc. Nat. Acad. Sci. 100, 4395–4398 (2003).
C. Y. Wang, “On High-Frequency Oscillating Viscous Flows,” J. Fluid Mech. 32, 55–68 (1968).
E. W. Haddon and N. Riley, “The Steady Flowing Induced Oscillating Circular Cylinders,” Quart. J. Mech. Appl. Math. 32 (2), 265–282 (1979).
A. N. Nuriev and A. D. Egorov, “Application of Bifurcation Analysis Methods for Solving Problems of Hydromechanics,” Vestn. Kazan. Tekhnol. Univ., No. 4, 104–109 (2013).
A. N. Nuriev and O. N. Zaitseva, “The Solution of the Problem of Oscillating Motion of a Cylinder in a Viscous Fluid Using the OpenFOAM Code,” Vestn. Kazan. Tekhnol. Univ., No. 8, 116–123 (2013).
M. Tatsuno and 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. 211, 157–182 (1990).
J. R. Elston, H. M. Blackburn, and J. Sheridan, “The Primary and Secondary Instabilities of Flow Generated by an Oscillating Circular Cylinder,” J. Fluid Mech. 550, 359–389 (2006).
H. Dütsch, F. Durst, S. Becker, and H. Lienhart, “Low-Reynolds-Number Flow around an Oscillating Circular Cylinder at Low Keulegan–Carpenter Numbers,” J. Fluid Mech. 360, 249–271 (1998).
A. G. Egorov, A. M. Kamalutdinov, A. N. Nuriev, and V. N. Paimushin, “Theoretical–Experimental Method for Determining Damping Parameters Based on the Study of Damped Flexural Vibrations of Test Specimens 2. Aerodynamic Component of Damping,” Mekh. Kompozit Mater. 50 (3), 379–396 (2014).
A. N. Nuriev and O. S. Zakharova, “Numerical Modeling of Motion of a Wedge-Shaped Two-Mass Vibro Robot in a Viscous Fluid,” Vychisl. Mekh. Sploshn. Sred 9 (1), 5–15 (2016).
J. R. Morison, M. P. O’Brien, J. W. Johnson, and S. A. Schaaf, “The Force Exerted by Surface Waves on Piles,” Petrol. Trans. 189, 149–157 (1950).
S. Kuhtz, “Experimental Investigation of Oscillatory Flow Around Circular Cylinders at Low Beta Numbers: Ph. D. Thesis” (Univ. London., London, 1996).
P. Suthon and C. Dalton, “Observations on the Honji Instability,” J. Fluids Structures 32, 27–36 (2012).
A. F. Bertelsen, “An Experimental Investigation of High Reynolds Number Steady Streaming Generated by Oscillating Cylinders,” J. Fluid Mech. 64, 589–697 (1974).
N. Riley, “The Steady Streaming Induced by a Vibrating Cylinder,” J. Fluid Mech. 68, 801–812 (1975).
P. Hall, “On the Stability of Unsteady Boundary Layer on a Cylinder Oscillating Transversely in a Viscous Fluid,” J. Fluid Mech. 146, 347–367 (1984).
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Original Russian Text © A.N. Nuriev, A.G. Egorov, O.N. Zaitseva.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 59, No. 3, pp. 77–87, May–June, 2018.
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Nuriev, A.N., Egorov, A.G. & Zaitseva, O.N. Numerical Analysis of Secondary Flows Around An Oscillating Cylinder. J Appl Mech Tech Phy 59, 451–459 (2018). https://doi.org/10.1134/S0021894418030082
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DOI: https://doi.org/10.1134/S0021894418030082