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Erschienen in: Fluid Dynamics 3/2023

29.03.2023

Numerical Study of a Rotationally Oscillating Cylinder at Low Reynolds Numbers

verfasst von: M. S. Mikhailov, Y. Bao, Z. L. Han, H. B. Zhu

Erschienen in: Fluid Dynamics | Ausgabe 3/2023

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Abstract

A numerical study on the rotary oscillating cylinder subjected to a free stream has been conducted. Two-dimensional direct numerical simulations have been performed using the spectral/hp element method implemented in the Nektar++ source code. The numerical simulations have been conducted at low values of the Reynolds number of 200. This paper focuses on three characteristics of flow: the hydrodynamic forces exerted on the cylinder, the wake patterns behind the cylinder, and the lock on phenomenon. The numerical simulations on the rotary oscillating cylinder have been performed over the extensive range of non-dimensional forcing frequency, from 0.2 to 5 and two different values of the cylinder oscillation amplitude equal to 2π/3 and 5π/3. It was observed that increase in the oscillation amplitude greatly influences the wake pattern and the lock on phenomenon. It was found that a more than double increase in the cylinder oscillation amplitude produces a significant increase in the maximum mean drag and the fluctuating lift. The influence of the forcing frequency and oscillation amplitude on the drag and lift has been quantified. Furthermore, the effect of the forcing frequency and oscillation amplitude on the cylinder wake has been thoroughly analyzed.

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Literatur
1.
2.
Zurück zum Zitat Du, L. and Dalton, C., LES calculation for uniform flow past a rotationally oscillating cylinder, J. Fluids Struct., 2013, vol. 42, pp. 40–54.CrossRefADS Du, L. and Dalton, C., LES calculation for uniform flow past a rotationally oscillating cylinder, J. Fluids Struct., 2013, vol. 42, pp. 40–54.CrossRefADS
3.
Zurück zum Zitat Blevins, R.D., Flow-Induced Vibration, New York: Van Nostrand Reinhold, 1990.MATH Blevins, R.D., Flow-Induced Vibration, New York: Van Nostrand Reinhold, 1990.MATH
4.
Zurück zum Zitat Tokumaru, P.T. and Dimotakis, P.E., Rotary oscillation control of a cylinder wake, J. Fluid Mech., 1991, vol. 224, pp. 77–90.CrossRefADS Tokumaru, P.T. and Dimotakis, P.E., Rotary oscillation control of a cylinder wake, J. Fluid Mech., 1991, vol. 224, pp. 77–90.CrossRefADS
5.
Zurück zum Zitat Shiels, D. and Leonard, A., Investigation of a drag reduction on a circular cylinder in rotary oscillation, J. Fluid Mech., 2001, vol. 431, pp. 297–322.CrossRefMATHADS Shiels, D. and Leonard, A., Investigation of a drag reduction on a circular cylinder in rotary oscillation, J. Fluid Mech., 2001, vol. 431, pp. 297–322.CrossRefMATHADS
6.
Zurück zum Zitat Cheng, M., Chew, Y.T., and Luo, S.C., Numerical investigation of a rotationally oscillating cylinder in mean flow, J. Fluids Struct., 2001, vol. 15, no. 7, pp. 981–1007.CrossRefADS Cheng, M., Chew, Y.T., and Luo, S.C., Numerical investigation of a rotationally oscillating cylinder in mean flow, J. Fluids Struct., 2001, vol. 15, no. 7, pp. 981–1007.CrossRefADS
7.
Zurück zum Zitat Guvernyuk, S.V., Dynnikova, G.Y., Dynnikov, Y.A., and Malakhova, T.V., Stabilization of the wake behind a circular cylinder that performs high-frequency angular oscillations, Dokl. Phys., 2010, vol. 55, no. 5, pp. 228–232.CrossRefADS Guvernyuk, S.V., Dynnikova, G.Y., Dynnikov, Y.A., and Malakhova, T.V., Stabilization of the wake behind a circular cylinder that performs high-frequency angular oscillations, Dokl. Phys., 2010, vol. 55, no. 5, pp. 228–232.CrossRefADS
8.
Zurück zum Zitat Thiria, B., Goujon-Durand, S., and Wesfreid, J.E., The wake of a cylinder performing rotary oscillations, J. Fluid Mech., 2006, vol. 560, pp. 123.CrossRefMATHADS Thiria, B., Goujon-Durand, S., and Wesfreid, J.E., The wake of a cylinder performing rotary oscillations, J. Fluid Mech., 2006, vol. 560, pp. 123.CrossRefMATHADS
9.
Zurück zum Zitat Kumar, S., Lopez, C., Probst, O., Francisco, G., Askari, D., and Yang, Y., Flow past a rotationally oscillating cylinder, J. Fluid Mech., 2013, vol. 735, pp. 307–346.CrossRefMATHADS Kumar, S., Lopez, C., Probst, O., Francisco, G., Askari, D., and Yang, Y., Flow past a rotationally oscillating cylinder, J. Fluid Mech., 2013, vol. 735, pp. 307–346.CrossRefMATHADS
10.
Zurück zum Zitat Sellappan, P. and Pottebaum, T., Wake modes of rotationally oscillating cylinders at Re=150, J. Fluids Struct., 2014, vol. 46, pp. 29–41.CrossRefADS Sellappan, P. and Pottebaum, T., Wake modes of rotationally oscillating cylinders at Re=150, J. Fluids Struct., 2014, vol. 46, pp. 29–41.CrossRefADS
11.
Zurück zum Zitat Kumar, S., Navrose, N., and Mittal, S., Lock-in in forced vibration of a circular cylinder, Phys. Fluids, 2016, vol. 28, no. 11, p. 113605. Kumar, S., Navrose, N., and Mittal, S., Lock-in in forced vibration of a circular cylinder, Phys. Fluids, 2016, vol. 28, no. 11, p. 113605.
12.
Zurück zum Zitat Ping, H., Zhu, H., Zhang, K., Wang, R., Zhou, D., Bao, Y., and Han, Z., Wake dynamics behind a rotary oscillating cylinder analyzed with proper orthogonal decomposition, Ocean Eng., 2020, vol. 218, p. 108185. Ping, H., Zhu, H., Zhang, K., Wang, R., Zhou, D., Bao, Y., and Han, Z., Wake dynamics behind a rotary oscillating cylinder analyzed with proper orthogonal decomposition, Ocean Eng., 2020, vol. 218, p. 108185.
13.
Zurück zum Zitat Ozalp, C., Soyler, M., Polat, C., Saydam, D., and Yaniktepe, B., An experimental investigation of a rotationally oscillating cylinder, J. Wind Eng. Ind. Aerodyn., 2021, vol. 214, p. 104679. Ozalp, C., Soyler, M., Polat, C., Saydam, D., and Yaniktepe, B., An experimental investigation of a rotationally oscillating cylinder, J. Wind Eng. Ind. Aerodyn., 2021, vol. 214, p. 104679.
14.
Zurück zum Zitat Karniadakis, G. and Sherwin, S., Spectral/HP Element Methods for Computational Fluid Dynamics, Oxford: Oxford Univ. Press, 2013.MATH Karniadakis, G. and Sherwin, S., Spectral/HP Element Methods for Computational Fluid Dynamics, Oxford: Oxford Univ. Press, 2013.MATH
15.
Zurück zum Zitat Xu, H., Cantwell, C.D., Monteserin, C., Eskilsson, C., Engsig-Karup, A.P., and Sherwin, S.J., Spectral/hp element methods: Recent developments, applications, and perspectives, J. Hydrodyn., 2018, vol. 30, no. 1, pp. 1–22.CrossRefADS Xu, H., Cantwell, C.D., Monteserin, C., Eskilsson, C., Engsig-Karup, A.P., and Sherwin, S.J., Spectral/hp element methods: Recent developments, applications, and perspectives, J. Hydrodyn., 2018, vol. 30, no. 1, pp. 1–22.CrossRefADS
16.
Zurück zum Zitat De Frutos, J. and Novo, J., A spectral element method for the Navier–Stokes equations with improved accuracy, SIAM J. Numer. Anal., 2000, vol. 38, no. 3, pp. 799–819.MathSciNetCrossRefMATH De Frutos, J. and Novo, J., A spectral element method for the Navier–Stokes equations with improved accuracy, SIAM J. Numer. Anal., 2000, vol. 38, no. 3, pp. 799–819.MathSciNetCrossRefMATH
17.
Zurück zum Zitat Karniadakis, G.E., Israeli, M., and Orszag, S.A., High-order splitting methods for the incompressible Navier–Stokes equations, J. Comput. Phys., 1991, vol. 97, no. 2, pp. 414–443.MathSciNetCrossRefMATHADS Karniadakis, G.E., Israeli, M., and Orszag, S.A., High-order splitting methods for the incompressible Navier–Stokes equations, J. Comput. Phys., 1991, vol. 97, no. 2, pp. 414–443.MathSciNetCrossRefMATHADS
18.
Zurück zum Zitat Guermond, J.L. and Shen, J., Velocity-correction projection methods for incompressible flows, SIAM J. Numer. Anal., 2003, vol. 41, no. 1, pp. 112–134.MathSciNetCrossRefMATH Guermond, J.L. and Shen, J., Velocity-correction projection methods for incompressible flows, SIAM J. Numer. Anal., 2003, vol. 41, no. 1, pp. 112–134.MathSciNetCrossRefMATH
19.
Zurück zum Zitat Cheng, M., Liu, G., and Lam, K., Numerical simulation of flow past a rotationally oscillating cylinder, Comput. Fluids, 2001, vol. 30, no. 3, pp. 365–392.CrossRefMATH Cheng, M., Liu, G., and Lam, K., Numerical simulation of flow past a rotationally oscillating cylinder, Comput. Fluids, 2001, vol. 30, no. 3, pp. 365–392.CrossRefMATH
20.
Zurück zum Zitat Protas, B. and Wesfreid, J.E., Drag force in the open-loop control of the cylinder wake in the laminar regime, Phys. Fluids, 2002, vol. 14, no. 2, pp. 810–826.CrossRefMATHADS Protas, B. and Wesfreid, J.E., Drag force in the open-loop control of the cylinder wake in the laminar regime, Phys. Fluids, 2002, vol. 14, no. 2, pp. 810–826.CrossRefMATHADS
21.
Zurück zum Zitat Mittal, H., Al-Mdallal, Q.M., and Ray, R.K., Locked-on vortex shedding modes from a rotationally oscillating circular cylinder, Ocean Eng., 2017, vol. 146, pp. 324–338.CrossRef Mittal, H., Al-Mdallal, Q.M., and Ray, R.K., Locked-on vortex shedding modes from a rotationally oscillating circular cylinder, Ocean Eng., 2017, vol. 146, pp. 324–338.CrossRef
22.
Zurück zum Zitat Ganta, N., Mahato, B., and Bhumkar, Y.G., Analysis of sound generation by flow past a circular cylinder performing rotary oscillations using direct simulation approach, Phys. Fluids, 2019, vol. 31, no. 2, p. 026104. Ganta, N., Mahato, B., and Bhumkar, Y.G., Analysis of sound generation by flow past a circular cylinder performing rotary oscillations using direct simulation approach, Phys. Fluids, 2019, vol. 31, no. 2, p. 026104.
23.
Zurück zum Zitat Williamson, C. and Roshko, A., Vortex formation in the wake of an oscillating cylinder, J. Fluids Struct., 1988, vol. 2, no. 4, pp. 355–381.CrossRefADS Williamson, C. and Roshko, A., Vortex formation in the wake of an oscillating cylinder, J. Fluids Struct., 1988, vol. 2, no. 4, pp. 355–381.CrossRefADS
24.
Zurück zum Zitat Leontini, J.S., Lo Jacono, D., and Thompson, M.C., Wake states and frequency selection of a streamwise oscillating cylinder, J. Fluid Mech., 2013, vol. 730, pp. 162–192.CrossRefMATHADS Leontini, J.S., Lo Jacono, D., and Thompson, M.C., Wake states and frequency selection of a streamwise oscillating cylinder, J. Fluid Mech., 2013, vol. 730, pp. 162–192.CrossRefMATHADS
25.
Zurück zum Zitat Du, L. and Sun, X., Suppression of vortex-induced vibration using the rotary oscillation of a cylinder, Phys. Fluids, 2015, vol. 27, no. 2, p. 023603. Du, L. and Sun, X., Suppression of vortex-induced vibration using the rotary oscillation of a cylinder, Phys. Fluids, 2015, vol. 27, no. 2, p. 023603.
26.
Zurück zum Zitat Leontini, J.S., Stewart, B.E., Thompson, M.C., and Hourigan, K., Wake state and energy transitions of an oscillating cylinder at low Reynolds number, Phys. Fluids, 2006, vol. 18, no. 6, p. 067101. Leontini, J.S., Stewart, B.E., Thompson, M.C., and Hourigan, K., Wake state and energy transitions of an oscillating cylinder at low Reynolds number, Phys. Fluids, 2006, vol. 18, no. 6, p. 067101.
27.
Zurück zum Zitat Bhumkar, Y. and Sengupta, T., Drag reduction by rotary oscillation for flow past a circular cylinder, Int. J. Emerging Multidiscip. Fluid Sci., 2009, vol. 1, no. 4, pp. 269–298.CrossRef Bhumkar, Y. and Sengupta, T., Drag reduction by rotary oscillation for flow past a circular cylinder, Int. J. Emerging Multidiscip. Fluid Sci., 2009, vol. 1, no. 4, pp. 269–298.CrossRef
Metadaten
Titel
Numerical Study of a Rotationally Oscillating Cylinder at Low Reynolds Numbers
verfasst von
M. S. Mikhailov
Y. Bao
Z. L. Han
H. B. Zhu
Publikationsdatum
29.03.2023
Verlag
Pleiades Publishing
Erschienen in
Fluid Dynamics / Ausgabe 3/2023
Print ISSN: 0015-4628
Elektronische ISSN: 1573-8507
DOI
https://doi.org/10.1134/S0015462822601930

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