×

zbMATH — the first resource for mathematics

Control of the turbulent flow in a plane diffuser through optimized contoured cavities. (English) Zbl 1408.76318
Summary: A passive control strategy, which consists in introducing contoured cavities in solid walls, is applied to a plane asymmetric diffuser at a Reynolds number that implies fully-turbulent flow upstream of the diffuser divergent part. The analysed reference configuration, for which experimental and numerical data were available, is characterized by an area ratio of 4.7 and a divergence angle of \(10^\circ\). A large zone of steady flow separation is present in the diffuser without the introduction of the control. One and two subsequent contoured cavities are introduced in the divergent wall of the diffuser and a numerical optimization procedure is carried out to obtain the cavity geometry that maximizes the pressure recovery in the diffuser and minimizes the flow separation extent. The introduction of one optimized cavity leads to an increase in pressure recovery of the order of 6.9% and to a significant reduction of the separation extent, and further improvement (9.6%) is obtained by introducing two subsequent cavities in the divergent wall. The most important geometrical parameters are also identified, and the robustness of the solution to small changes in their values and in the Reynolds number is assessed. The present results show that the proposed control strategy, previously tested in the laminar regime, is effective also for turbulent flows at higher Reynolds numbers. As already found for laminar flow, the success of the control is due both to a virtual geometry modification of the diffuser and to a favourable effect of the cavities in reducing the momentum losses near the wall.
MSC:
76F65 Direct numerical and large eddy simulation of turbulence
76F60 \(k\)-\(\varepsilon\) modeling in turbulence
76D55 Flow control and optimization for incompressible viscous fluids
Software:
STAR-CD
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Lin, J. C., Review of research on low-profile vortex generators to control boundary-layer separation, Prog. Aerosp. Sci., 38, 4-5, 389-420, (2002)
[2] Collis, S. S.; Joslin, R. D.; Seifert, A.; Theofilis, V., Issues in active flow control: theory, control, simulation, and experiment, Prog. Aerosp. Sci., 40, 4-5, 237-289, (2004)
[3] Ashill, P. R.; Fulker, J. L.; Hackett, K. C., A review of recent developments in flow control, Aeronaut. J., 109, 205-232, (2005)
[4] Gad-el-Hak, M., Flow control: passive, active, and reactive flow management, (2007), Cambridge University Press London, United Kingdom · Zbl 0968.76001
[5] Choi, H.; Jeon, W. P.; Kim, J., Control of flow over a bluff body, Annu. Rev. Fluid Mech., 40, 113-139, (2008) · Zbl 1136.76022
[6] Mariotti, A.; Grozescu, A. N.; Buresti, G.; Salvetti, M. V., Separation control and efficiency improvement in a 2D diffuser by means of contoured cavities, Eur. J. Mech. B-Fluid, 41, 138-149, (2013) · Zbl 06931915
[7] Ringleb, F., Separation control by trapped vortices, (Lachmann, G. V., Boundary Layer and Flow Control, vol. 1, (1961), Pergamon Press Oxford), 265-294
[8] A. C. Kentfield, J., Short, multi-step, afterbody fairings, J. Aircraft, 21, 5, 351-352, (1984)
[9] Iollo, A.; Zannetti, L., Trapped vortex optimal control by suction and blowing at the wall, Eur. J. Mech. B-Fluid, 20, 7-24, (2001) · Zbl 0983.76008
[10] Klein, A., Characteristic of combustor diffusers, Prog. Aerosp. Sci., 31, 171-271, (1995)
[11] Göttlich, E., Research on the aerodynamics of intermediate turbine diffusers, Prog. Aerosp. Sci., 47, 249-279, (2011)
[12] Lan, H.; Armaly, B. F.; Drallmeier, J. A., Turbulent forced convection in a plane asymmetric diffuser: effect of diffuser angle, Trans. ASME, J. Heat Transfer, 131, (2009) · Zbl 1157.80349
[13] Cervantes, M. J.; Engström, T. F., Pulsating turbulent flow in a straight asymmetric diffuser, J. Hydraul. Res., 46, 1, 112-128, (2008)
[14] Mehta, R. D.; Bradshaw, P., Design rules for small low speed wind tunnels, Aeronaut. J., 83, 827, 443-449, (1979)
[15] Obi, S.; Aoki, K.; Masuda, S., Experimental and computational study of turbulent separating flow in an asymmetric plane diffuser, (Ninth symposium on Turbulent Shear Flows, Kyoto, Japan 16-19 August 1993, (1993)), 305.1-305.4
[16] C.U. Buice, 1997 Experimental investigation of flow through an asymmetric plane diffuser, Ph.D. degree Thesis, Department of Mechanical Engineering, Stanford University, available at http://me.stanford.edu/groups/thermo/pdf/TSD-107.pdf.
[17] Buice, C. U.; Eaton, J. K., Experimental investigation of flow through an asymmetric plane diffuser, Trans. ASME, J. Fluids Eng., 122, 2, 433-435, (2000)
[18] Kaltenbach, H. J.; Fatica, M.; Mittal, R.; Lund, T. S.; Moin, P., Study of flow in a planar asymmetric diffuser using large-eddy simulation, J. Fluid Mech., 390, 151-185, (1999) · Zbl 0983.76042
[19] Wu, X.; Schlüter, J.; Moin, P.; Pitsch, H.; Iaccarino, G.; Ham, F., Computational study on the internal layer in a diffuser, J. Fluid Mech., 550, 391-412, (2006) · Zbl 1222.76062
[20] Hellsten, A.; Rautaheimo, P., Proceedings 8th ERCOFTAC IAHR/COST workshop on refined turbulence modelling, (1999), Helsinki University of Technology
[21] Apsley, D. D.; Leschziner, M. A., Advanced turbulence modelling of separated flow in a diffuser, Flow Turbul. Combust., 63, 81-112, (1999) · Zbl 0977.76037
[22] Iaccarino, G., Predictions of a turbulent separated flow using commercial CFD codes, Trans. ASME, J. Fluids Eng., 123, 4, 819-828, (2001)
[23] Herbst, A. H.; Schlatter, P.; Henningson, D. S., Simulations of turbulent flow in a plane asymmetric diffuser, Flow Turbul. Combust., 79, 275-306, (2007) · Zbl 1258.76104
[24] El-Behery, S. M.; Hamed, M., A comparative study of turbulence models performance for separating flow in a planar asymmetric diffuser, Comput. Fluids, 44, 248-257, (2011) · Zbl 1271.76121
[25] Dean, R. B., Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow, Trans. ASME, J. Fluids Eng., 100, 215-223, (1978)
[26] ANSYS fluent, help system, (Fluent 6.3 User’s Guide, (2006), ANSYS, Inc.)
[27] Wilcox, D. C., Turbulence modeling for CFD, (1998), DCW Industries, Inc. La Cañada, California
[28] Menter, F. R., Two-equation eddy-viscosity turbulence models for engineering applications, AIAA J., 32, 8, 1598-1605, (1994)
[29] Launder, B. E.; Spalding, D. P., Mathematical models of turbulence, (Lectures Notes, (1972), Imperial College of Science and Technology London, England) · Zbl 0288.76027
[30] Poles, S.; Fu, Y.; Rigoni, E., The effect of initial population sampling on the convergence of multi-objective genetic algorithms, (Barichard, V.; Gandibleux, X.; T’Kindt, V., Multiobjective Programming and Goal Programming, (2009), Springer Berlin, Heidelberg), 123-133 · Zbl 1176.90555
[31] ModeFrontier, Modefrontier user’s guide (version 4.0), 2009, www.esteco.com.
[32] S. Poles, E. Rigoni, T. Robic, MOGA-II performance on noisy optimization problems, Proceedings of the International Conference on Bioinspired Optimization Methods and their Applications, Jozef Stefan Institute, Ljubljana, 2004, pp. 51-62.
[33] Serrin, J., Mathematical principles of classical fluid mechanics, (Flügge, S., Handbuch der Physik VIII/1, (1959), Springer-Verlag Berlin), 125-263
[34] Buresti, G., Elements of fluid dynamics, (2012), Imperial College Press London · Zbl 1254.76001
[35] Lim, S.; Choi, H., Optimal shape design of a two-dimensional asymmetric diffuser in turbulent flow, AIAA J., 42, 6, 1154-1169, (2004)
[36] Stratford, B. S., An experimental flow with zero skin friction throughout its region of pressure rise, J. Fluid Mech., 5, 17-35, (1959) · Zbl 0084.41901
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.