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Core-pressure alleviation for a wall-normal vortex by active flow control

Published online by Cambridge University Press:  23 August 2018

Qiong Liu ,
Byungjin An ,
Motohiko Nohmi ,
Masashi Obuchi  and
Kunihiko Taira Open the ORCID record for Kunihiko Taira [Opens in a new window]
Qiong Liu
Affiliation:
Department of Mechanical Engineering, Florida State University, Tallahassee, FL 32310, USA
Byungjin An
Affiliation:
Advanced Analysis Department, Ebara Corporation, Tokyo, 144-8510, Japan
Motohiko Nohmi
Affiliation:
Advanced Analysis Department, Ebara Corporation, Tokyo, 144-8510, Japan
Masashi Obuchi
Affiliation:
Advanced Analysis Department, Ebara Corporation, Tokyo, 144-8510, Japan
Kunihiko Taira*
Affiliation:
Department of Mechanical Engineering, Florida State University, Tallahassee, FL 32310, USA
*
†Email address for correspondence: [email protected]
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Abstract

We consider the application of active flow control to modify the radial pressure distribution of a single-phase wall-normal vortex. The present flow is based on the Burgers vortex model but with a no-slip boundary condition prescribed along its symmetry plane. The wall-normal vortex serves as a model for vortices that emerge upstream of turbomachinery, such as pumps. This study characterizes the baseline vortex unsteadiness through numerical simulation and dynamic mode decomposition. The insights gained from the baseline flow are used to develop an active flow control technique with rotating zero-net-mass blowing and suction with the objective of modifying the core-pressure distribution. The effectiveness of the control strategy is demonstrated by achieving a widened vortex core with increased pressure. This change in the flow field weakens the local strength of the wall-normal vortex core, potentially inhibiting the formation of hollow-core vortices, commonly encountered in liquids.

JFM classification

Flow Control: Flow Control Vortex Flows: Vortex dynamics Vortex Flows: Vortex instability
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 853 , 25 October 2018 , R1
Copyright
© 2018 Cambridge University Press 

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References

An, B., Liu, Q., Taira, K., Nohmi, M. & Obuchi, M. 2018 A research outlook on turbulent vortex control in pump sump. Ebara Tech. Rev. 255, 31–37.Google Scholar
Brennen, C. E. 2011 Hydrodynamics of Pumps. Cambridge University Press.Google Scholar
Brown, G. L. & Lopez, J. M. 1990 Axisymmetric vortex breakdown part 2. Physical mechanisms. J. Fluid Mech. 221, 553–576.Google Scholar
Burgers, J. M. 1948 A mathematical model illustrating the theory of turbulence. Adv. Appl. Mech. 1, 171–199.Google Scholar
Crowdy, D. G. 1998 A note on the linear stability of Burgers vortex. Stud. Appl. Maths 100, 107–126.Google Scholar
Hall, M. G. 1972 Vortex breakdown. Annu. Rev. Fluid Mech. 4 (1), 195–218.Google Scholar
Ham, F. & Iaccarino, G. 2004 Energy Conservation in Collocated Discretization Schemes on Unstructured Meshes, Annual Research Brief, pp. 3–14. Center for Turbulence Research.Google Scholar
Jovanović, M. R. & Bamieh, B. 2005 Componentwise energy amplification in channel flows. J. Fluid Mech. 534, 145–183.Google Scholar
Kurosaka, M., Cain, C. B., Srigrarom, S., Wimer, J. D., Dabiri, D., Johnson, W. F., Hatcher, J. C., Thompson, B. R., Kikuchi, M., Hirano, K., Yuge, T. & Honda, T. 2006 Azimuthal vorticity gradient in the formative stages of vortex breakdown. J. Fluid Mech. 569, 1–28.Google Scholar
Leibovich, S. & Holmes, P. 1981 Global stability of the Burgers’ vortex. Phys. Fluids 24 (3), 548–649.Google Scholar
Lundgren, T. S. 1982 Strained spiral vortex model for turbulent fine structure. Phys. Fluids 25 (12), 2193–2203.Google Scholar
McKeon, B. J. & Sharma, A. S. 2010 A critical-layer framework for turbulent pipe flow. J. Fluid Mech. 658, 336–382.Google Scholar
Rowley, C. W., Mezić, I., Bagheri, S. & Henningson, D. S. 2009 Spectral analysis of nonlinear flows. J. Fluid Mech. 641, 115–127.Google Scholar
Saffman, P. G. 1992 Vortex Dynamics. Cambridge University Press.Google Scholar
Schmid, P. J. 2010 Dynamic mode decomposition of numerical and experimental data. J. Fluid Mech. 656, 5–28.Google Scholar
Schmid, P. J. & Rossi, M. 2004 Three-dimensional stability of a Burgers vortex. J. Fluid Mech. 500, 103–112.Google Scholar
Taira, K., Brunton, S. L., Dawson, S., Rowley, C. W., Colonius, T., McKeon, B. J., Schmidt, O. T., Gordeyev, S., Theofilis, V. & Ukeiley, L. S. 2017 Modal analysis of fluid flows: an overview. AIAA J. 55 (12), 4013–4041.Google Scholar
Wu, J.-Z., Ma, H.-Y. & Zhou, M.-D. 2006 Vorticity and Vortex Dynamics. Springer.Google Scholar
Yang, H. Q.2017 A computational fluid dynamics study of swirling flow reduction by using anti-vortex baffle. AIAA Paper 2017-1707.Google Scholar
Yeh, C. & Taira, K.2018 Resolvent-analysis-based design of airfoil separation control. arXiv:1805.02128.Google Scholar
Zhao, L. 2010 Visualization of vortices in pump sump. J. Vis. Soc. Japan 30 (116), 28–33.Google Scholar