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Scalings and decay of homogeneous, nearly isotropic turbulence behind a jet array
Phys. Rev. Fluids 8, 024603 – Published 7 February, 2023
DOI: https://doi.org/10.1103/PhysRevFluids.8.024603
Abstract
Homogeneous and isotropic turbulence can be generated by many different mechanisms, from classical passive grids to jet arrays. By using high-speed jets, a jet array becomes a promising way to produce intense turbulence with large energy dissipation rates in water and wind tunnels. In this paper, a systematic experimental investigation was conducted to understand how the turbulence decay scales with the jet velocity, nozzle size, and nozzle spacings. Three-dimensional particle tracking was performed to quantify the spatial distribution of different turbulent characteristics. Combined with several previous experiments focusing on near-field measurements, our results provide a clear picture of the decay of the kinetic energy and the energy dissipation rate as well as the development of the inhomogeneity and anisotropy of turbulence generated by a jet array. Suggestions and design considerations for future wind and water tunnels are also provided.
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References (56)
- H. Schubert, On the turbulence-controlled microprocesses in flotation machines, Int. J. Miner. Process. 56, 257 (1999).
- M. Pourtousi, J. Sahu, and P. Ganesan, Effect of interfacial forces and turbulence models on predicting flow pattern inside the bubble column, Chem. Eng. Process. 75, 38 (2014).
- Á. Leelőssy, F. Molnár, F. Izsák, Á. Havasi, I. Lagzi, and R. Mészáros, Dispersion modeling of air pollutants in the atmosphere: a review, Open Geosci. 6, 257 (2014).
- F. Peters and C. Marrasé, Effects of turbulence on plankton: An overview of experimental evidence and some theoretical considerations, Mar. Ecol. Prog. Ser. 205, 291 (2000).
- L. F. G. Simmons and C. Salter, Experimental investigation and analysis of the velocity variations in turbulent flow, Proc. R. Soc. Lond., Contain. Pap. Math. Phys. Character 145, 212 (1934).
- T. Kurian and J. H. Fransson, Grid-generated turbulence revisited, Fluid Dyn. Res. 41, 021403 (2009).
- P.-Å. Krogstad and P. Davidson, Near-field investigation of turbulence produced by multi-scale grids, Phys. Fluids 24, 035103 (2012).
- M. Gad-El-Hak and S. Corrsin, Measurements of the nearly isotropic turbulence behind a uniform jet grid, J. Fluid Mech. 62, 115 (1974).
- G. K. Batchelor, The Theory of Homogeneous Turbulence (Cambridge University Press, New York, 1953).
- G. Comte-Bellot and S. Corrsin, The use of a contraction to improve the isotropy of grid-generated turbulence, J. Fluid Mech. 25, 657 (1966).
- L. Mydlarski and Z. Warhaft, On the onset of high-Reynolds-number grid-generated wind tunnel turbulence, J. Fluid Mech. 320, 331 (1996).
- M. Hideharu, Realization of a large-scale turbulence field in a small wind tunnel, Fluid Dyn. Res. 8, 53 (1991).
- H. Makita and K. Sassa, Active turbulence generation in a laboratory wind tunnel, in Advances in Turbulence 3 (Springer, Berlin, Heidelberg, 1991), pp. 497-505.
- H. S. Kang, S. Chester, and C. Meneveau, Decaying turbulence in an active-grid-generated flow and comparisons with large-eddy simulation, J. Fluid Mech. 480, 129 (2003).
- A. Thormann and C. Meneveau, Decay of homogeneous, nearly isotropic turbulence behind active fractal grids, Phys. Fluids 26, 025112 (2014).
- E. Bodenschatz, G. P. Bewley, H. Nobach, M. Sinhuber, and H. Xu, Variable density turbulence tunnel facility, Rev. Sci. Instrum. 85, 093908 (2014).
- G. I. Taylor, Statistical theory of turbulence-ii, Proc. R. Soc. Lond., A-Math. Phys. Sci. 151, 444 (1935).
- T. V. Karman, The fundamentals of the statistical theory of turbulence, J. Aeronaut. Sci. 4, 131 (1937).
- G. Birkhoff, Fourier synthesis of homogeneous turbulence, Commun. Pure Appl. Math. 7, 19 (1954).
- P. Saffman, The large-scale structure of homogeneous turbulence, J. Fluid Mech. 27, 581 (1967).
- E. van Doorn, C. M. White, and K. Sreenivasan, The decay of grid turbulence in polymer and surfactant solutions, Phys. Fluids 11, 2387 (1999).
- M. R. Smith, R. J. Donnelly, N. Goldenfeld, and W. F. Vinen, Decay of Vorticity in Homogeneous Turbulence, Phys. Rev. Lett. 71, 2583 (1993).
- S. R. Stalp, L. Skrbek, and R. J. Donnelly, Decay of Grid Turbulence in a Finite Channel, Phys. Rev. Lett. 82, 4831 (1999).
- G. Comte-Bellot and S. Corrsin, Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated, isotropicturbulence, J. Fluid Mech. 48, 273 (1971).
- D. Hurst and J. Vassilicos, Scalings and decay of fractal-generated turbulence, Phys. Fluids 19, 035103 (2007).
- N. Mazellier and J. Vassilicos, Turbulence without Richardson–Kolmogorov cascade, Phys. Fluids 22, 075101 (2010).
- P. Valente and J. C. Vassilicos, The decay of turbulence generated by a class of multiscale grids, J. Fluid Mech. 687, 300 (2011).
- P.-Å. Krogstad and P. Davidson, Freely decaying, homogeneous turbulence generated by multi-scale grids, J. Fluid Mech. 680, 417 (2011).
- R. Poorte and A. Biesheuvel, Experiments on the motion of gas bubbles in turbulence generated by an active grid, J. Fluid Mech. 461, 127 (2002).
- E. A. Variano and E. A. Cowen, A random-jet-stirred turbulence tank, J. Fluid Mech. 604, 1 (2008).
- A. Pérez-Alvarado, L. Mydlarski, and S. Gaskin, Effect of the driving algorithm on the turbulence generated by a random jet array, Exp. Fluids 57, 20 (2016).
- B. A. Johnson and E. A. Cowen, Turbulent boundary layers absent mean shear, J. Fluid Mech. 835, 217 (2018).
- A. U. M. Masuk, A. Salibindla, S. Tan, and R. Ni, V-ONSET (vertical octagonal noncorrosive stirred energetic turbulence): A vertical water tunnel with a large energy dissipation rate to study bubble/droplet deformation and breakup in strong turbulence, Rev. Sci. Instrum. 90, 085105 (2019).
- S. Tan, A. Salibindla, A. U. M. Masuk, and R. Ni, An open-source shake-the-box method and its performance evaluation, in 13th International Symposium on Particle Image Velocimetry — ISPIV 2019 Munich (Germany, 2019).
- S. Tan, A. Salibindla, A. U. M. Masuk, and R. Ni, Introducing openLPT: New method of removing ghost particles and high-concentration particle shadow tracking, Exp. Fluids 61, 1 (2020).
- E. A. Variano, E. Bodenschatz, and E. A. Cowen, A random synthetic jet array driven turbulence tank, Exp. Fluids 37, 613 (2004).
- G. Bellani and E. A. Variano, Homogeneity and isotropy in a laboratory turbulent flow, Exp. Fluids 55, 1 (2014).
- D. Carter, A. Petersen, O. Amili, and F. Coletti, Generating and controlling homogeneous air turbulence using random jet arrays, Exp. Fluids 57, 1 (2016).
- S. Ghahremanian and B. Moshfegh, Investigation in the near-field of a row of interacting jets, J. Fluids Eng. 137, 121202 (2015).
- K. Svensson, P. Rohdin, and B. Moshfegh, A computational parametric study on the development of confluent round jet arrays, Eur. J. Mech. - B/Fluids 53, 129 (2015).
- K. Svensson, P. Rohdin, and B. Moshfegh, On the influence of array size and jet spacing on jet interactions and confluence in round jet arrays, J. Fluids Eng. 138, 081206 (2016).
- M. Boussoufi, A. Sabeur-Bendehina, A. Ouadha, S. Morsli, and M. El Ganaoui, Numerical analysis of single and multiple jets, Eur. Phys. J.: Appl. Phys. 78, 34814 (2017).
- B. T. Kannan and N. R. Panchapakesan, Influence of nozzle configuration on the flow field of multiple jets, Proc. Inst. Mech. Eng., Part G 232, 1639 (2018).
- S. Ghahremanian, K. Svensson, M. J. Tummers, and B. Moshfegh, Near-field mixing of jets issuing from an array of round nozzles, Int. J. Heat Fluid Flow 47, 84 (2014).
- M. Bisoi, M. K. Das, S. Roy, and D. K. Patel, Turbulent statistics in flow field due to interaction of two plane parallel jets, Phys. Fluids 29, 125108 (2017).
- H. Teramoto and T. Kiwata, Flow characteristics of multiple round jets issuing from in-line nozzle arrangement, in Symposium on Fluid-Structure-Sound Interactions and Control (Springer, Singapore, 2017), p. 161.
- G. K. Jankee and B. Ganapathisubramani, Interaction and vectoring of parallel rectangular twin jets in a turbulent boundary layer, Phys. Rev. Fluids 6, 044701 (2021).
- T. Berk, G. Gomit, and B. Ganapathisubramani, Vectoring of parallel synthetic jets: A parametric study, J. Fluid Mech. 804, 467 (2016).
- H. J. Hussein, S. P. Capp, and W. K. George, Velocity measurements in a high-Reynolds-number, momentum-conserving, axisymmetric, turbulent jet, J. Fluid Mech. 258, 31 (1994).
- S. B. Pope and S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
- P. C. Chu, J. H. Lee, and V. H. Chu, Spreading of turbulent round jet in coflow, J. Hydraul. Eng. 125, 193 (1999).
- A. N. Kolmogorov, The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers, Proc. R. Soc. Lond., A: Math. Phys. Sci. 434, 9 (1991).
- R. Ni, K.-Q. Xia, Kolmogorov constants for the second-order structure function and the energy spectrum, Phys. Rev. E 87, 023002 (2013).
- K. R. Sreenivasan, An update on the energy dissipation rate in isotropic turbulence, Phys. Fluids 10, 528 (1998).
- W. K. George, The decay of homogeneous isotropic turbulence, Phys. Fluids A 4, 1492 (1992).
- C. Or, K. M. Lam, and P. Liu, Potential core lengths of round jets in stagnant and moving environments, J. Hydro-Environ. Res. 5, 81 (2011).