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Wake characteristics of a sphere performing transverse rotary oscillations. (English) Zbl 1475.76029

Summary: Three-dimensional numerical investigations have been carried out to study the unsteady wake behind a sphere performing transverse rotational oscillations. Frequency and amplitude of forced oscillation have been varied and their influence on coherent wake structures and transitions have been presented. These structures have been identified with the help of instantaneous iso-\(\lambda_2\) surfaces and streamline plots. The results reveal presence of different vortex shedding modes that appear over the parametric range. Variations in mean and instantaneous values of hydrodynamic coefficients with amplitude and frequency of forced oscillations have also been reported in this work. Time series signals of these force coefficients have been analysed using Hilbert Huang transformation and recurrence relations. These techniques shed light on the time dependent behaviour of the wake by providing insights on frequency-time-amplitude distributions of the wake oscillations. Nonlinearities in wake interactions have also been quantified in terms of degree of stationarity. Variation of recurrence quantification parameters with change in forcing frequency has also been presented.

MSC:

76D25 Wakes and jets
76D17 Viscous vortex flows

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K2
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[1] Passmore, Martin A.; Tuplin, Simon; Spencer, Adrian; Jones, Roy, Experimental studies of the aerodynamics of spinning and stationary footballs, Proc. Inst. Mech. Eng. C, 222, 2, 195-205 (2008)
[2] Torobin, L. B.; Gauvin, W. H., Fundamental aspects of solids-gas flow: Part V: The effects of fluid turbulence on the particle drag coefficient, Can. J. Chem. Eng., 38, 6, 189-200 (1960)
[3] Taneda, Sadatoshi, Experimental investigation of the wake behind a sphere at low Reynolds numbers, J. Phys. Soc. Japan, 11, 10, 1104-1108 (1956)
[4] Nakamura, Isao, Steady wake behind a sphere, Phys. Fluids, 19, 1, 5-8 (1976)
[5] Ormières; Delphine; Michel, Provansal, Transition to turbulence in the wake of a sphere, Phys. Rev. Lett., 83, 1, 80 (1999) · Zbl 0977.76502
[6] Johnson, T. A.; Patel, V. C., Flow past a sphere up to a Reynolds number of 300, J. Fluid Mech., 378, 19-70 (1999)
[7] Thompson, M. C.; Leweke, Th.; Provansal, M., Kinematics and dynamics of sphere wake transition, J. Fluids Struct., 15, 3-4, 575-585 (2001)
[8] Mittal, Rajat, A Fourier-Chebyshev spectral collocation method for simulating flow past spheres and spheroids, Internat. J. Numer. Methods Fluids, 30, 7, 921-937 (1999) · Zbl 0957.76060
[9] Sakamoto, Haniu; Haniu, H., A study on vortex shedding from spheres in a uniform flow, J. Fluids Eng., 112, 4, 386-392 (1990)
[10] Poon, E. K.; Ooi, A. S.; Giacobello, M.; Cohen, R. C., Laminar flow structures from a rotating sphere: Effect of rotating axis angle, Int. J. Heat Fluid Flow, 31, 5, 961-972 (2010)
[11] Neeraj, M. P.; Tiwari, Shaligram, Wake characteristics of a sphere performing streamwise rotary oscillations, Eur. J. Mech. B Fluids, 72, 485-500 (2018) · Zbl 1408.76224
[12] Kim, Dongjoo; Choi, Haecheon, Laminar flow past a sphere rotating in the streamwise direction, J. Fluid Mech., 461, 365-386 (2002) · Zbl 1142.76425
[13] Niazmand, H.; Renksizbulut, M., Flow past a spinning sphere with surface blowing and heat transfer, J. Fluids Eng., 127, 1, 163-171 (2005)
[14] Kim, Dongjoo, Laminar flow past a sphere rotating in the transverse direction, J. Mech. Sci. Technol., 23, 2, 578-589 (2009)
[15] Giacobello, M.; Ooi, A.; Balachandar, S., Wake structure of a transversely rotating sphere at moderate Reynolds numbers, J. Fluid Mech., 621, 103-130 (2009) · Zbl 1171.76352
[16] Kurose, Ryoichi; Komori, Satoru, Drag and lift forces on a rotating sphere in a linear shear flow, J. Fluid Mech., 384, 183-206 (1999) · Zbl 0939.76099
[17] Poon, E. K.; Ooi, A. S.; Giacobello, M.; Cohen, R. C., Hydrodynamic forces on a rotating sphere, Int. J. Heat Fluid Flow, 42, 278-288 (2013)
[18] Poon; Eric, K. W., Flow past a transversely rotating sphere at Reynolds numbers above the laminar regime, J. Fluid Mech., 759, 751-781 (2014)
[19] Aguedal, L.; Semmar, D.; Berrouk, A. S.; Azzi, A.; Oualli, H., 3D vortex structure investigation using Large Eddy Simulation of flow around a rotary oscillating circular cylinder, Eur. J. Mech. B Fluids, 71, 113-125 (2018) · Zbl 1408.76302
[20] Poncet, Philippe, Topological aspects of three-dimensional wakes behind rotary oscillating cylinders, J. Fluid Mech., 517, 27-53 (2004) · Zbl 1131.76314
[21] Jeong, Jinhee; Hussain, Fazle, On the identification of a vortex, J. Fluid Mech., 285, 69-94 (1995) · Zbl 0847.76007
[22] Huang, Norden E.; Shen, Zheng; Long, Steven R.; Wu, Manli C.; Shih, Hsing H.; Quanan, Zheng; Nai-Chyuan, Yen; Chi, Chao Tung; Liu, Henry H., The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis, Proc. Roy. Soc. Lond. A, 454, 1971 (1998), The Royal Society · Zbl 0945.62093
[23] Huang, N. E.; Wu, Z.; Long, S. R.; Arnold, K. C.; Chen, X.; Blank, K., On instantaneous frequency, Adv. Adapt. Data Anal., 1, 02, 177-229 (2009)
[24] Huang, Norden E., Hilbert-Huang Transform and its Applications, Vol. 16 (2014), World Scientific · Zbl 1290.94002
[25] Casdagli, M. C., Recurrence plots revisited, Physica D, 108, 1-2, 12-44 (1997) · Zbl 0935.37052
[26] Marwan, Norbert; Schinkel, Stefan; Kurths, Jürgen, Recurrence plots 25 years later—gaining confidence in dynamical transitions, Europhys. Lett., 101, 2, 20007 (2013)
[27] Marwan, N.; Wessel, N.; Meyerfeldt, U.; Schirdewan, A.; Kurths, J., Recurrence-plot-based measures of complexity and their application to heart-rate-variability data, Phys. Rev. E, 66, 2, Article 026702 pp. (2002)
[28] Marwan; Norbert; Jürgen, Kurths, Nonlinear analysis of bivariate data with cross recurrence plots, Phys. Lett. A, 302, 5-6, 299-307 (2002) · Zbl 0998.62518
[29] Marwan, N.; Romano, M. C.; Thiel, M.; Kurths, J., Recurrence plots for the analysis of complex systems, Phys. Rep., 438, 5-6, 237-329 (2007)
[30] Niazmand, H.; Renksizbulut, M., Surface effects on transient three-dimensional flows around rotating spheres at moderate Reynolds numbers, Comput. & Fluids, 32, 10, 1405-1433 (2003) · Zbl 1140.76330
[31] Perry, Anthony E.; Chong, Min S., A description of eddying motions and flow patterns using critical-point concepts, Annu. Rev. Fluid Mech., 19, 1, 125-155 (1987)
[32] Chong, Min S.; Perry, Anthony E.; Cantwell, Brian J., A general classification of three-dimensional flow fields, Phys. Fluids A, 2, 5, 765-777 (1990)
[33] Neeraj, Paul M.; Tiwari, S., On wake analysis of flow past rotating downstream cylinder using Hilbert-Huang transformation, J. Appl. Fluid Mech., 12, 1 (2019)
[34] B. Liu, R.K. Jaiman, Dynamics of gap flow interference in a vibrating side-by-side arrangement of two circular cylinders at moderate Reynolds number. arXiv Preprint arXiv:1801.05109; B. Liu, R.K. Jaiman, Dynamics of gap flow interference in a vibrating side-by-side arrangement of two circular cylinders at moderate Reynolds number. arXiv Preprint arXiv:1801.05109 · Zbl 1415.76193
[35] Eckmann, J. P.; Oliffson Kamphorst, S.; Ruelle, D., Recurrence plots of dynamical systems, World Sci. Ser. Nonlinear Sci. Ser. A, 16, 441-446 (1995)
[36] Marwan, Norbert, Encounters with Neighbours: Current Developments of Concepts Based on Recurrence Plots and their Applications (2003), Norbert Marwan
[37] Kantz, Holger; Schreiber, Thomas, Nonlinear Time Series Analysis, Vol. 7 (2004), Cambridge university press · Zbl 1050.62093
[38] Cao, Liangyue, Practical method for determining the minimum embedding dimension of a scalar time series, Physica D, 110, 1-2, 43-50 (1997) · Zbl 0925.62385
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