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Hydrodynamic response of an annular swirling liquid sheet surrounding a forced gas jet

Published online by Cambridge University Press:  23 August 2022

Santanu Kumar Sahoo Open the ORCID record for Santanu Kumar Sahoo [Opens in a new window]  and
Hrishikesh Gadgil
Santanu Kumar Sahoo*
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Bombay, Mumbai,Maharashtra 400076, India
Hrishikesh Gadgil
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Bombay, Mumbai,Maharashtra 400076, India
*
†Email address for correspondence: [email protected]
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Abstract

Gas–liquid coaxial injectors invariably involve a shear layer between a fast-moving gas stream and a slow-moving liquid stream. This shear layer within the confinement of a recess has a region of absolute instability beyond a critical momentum flux ratio. This causes the spray to exhibit self-pulsation at discrete natural frequencies. We apply sinusoidal acoustic forcing to the gas jet over a range of frequencies and amplitudes to explore the frequency response of the spray. The fluctuating spray width near the injector orifice is measured as a time-resolved tracer characteristic, and its power spectral density is used to determine the spectral response of the spray. The non-pulsating spray that involves a primarily convectively unstable shear layer responds unconditionally to all the forcing frequencies. However, for a self-pulsating spray, when the forcing frequency is far from the natural frequency and both are incommensurate, the spectral response involves both the frequencies, their linear combinations and harmonics representing a state of quasi-periodicity. When the forcing frequency is close enough or the amplitude is high enough, 1 : 1 lock-in is observed where the natural mode is suppressed completely and the spray behaves just like the unforced flow with the peak shifted to the forcing frequency. Combining the experimental observations and application of the van der Pol oscillator model, we could demonstrate the analogous behaviour of this multiphase system with other hydrodynamically self-excited systems with external forcing. The results presented here can prove significant in understanding the dynamics of the atomization process in thermoacoustic coupling and possible control of it.

JFM classification

Multiphase and Particle-laden Flows: Multiphase flow Multiphase and Particle-laden Flows: Gas/liquid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 947 , 25 September 2022 , A20
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

REFERENCES

Ahn, K., Han, Y.-M., Seo, S. & Choi, H.-S. 2010 Effects of injector recess and chamber pressure on combustion characteristics of liquid–liquid swirl coaxial injectors. Combust. Sci. Technol. 183 (3), 252–270.CrossRefGoogle Scholar
Baek, S.-J. & Sung, H.J. 2000 Quasi-periodicity in the wake of a rotationally oscillating cylinder. J.Fluid Mech. 408, 275–300.CrossRefGoogle Scholar
Baillot, F., Blaisot, J.-B., Boisdron, G. & Dumouchel, C. 2009 Behaviour of an air-assisted jet submitted to a transverse high-frequency acoustic field. J.Fluid Mech. 640, 305–342.CrossRefGoogle Scholar
Balanov, A., Janson, N., Postnov, D. & Sosnovtseva, O. 2009 1 : 1 Forced Synchronization of Periodic Oscillations. Springer.Google Scholar
Bazarov, V. 1994 Throttleable liquid propellant engines swirl injectors for deep smooth thrust variations. In 30th Joint Prop. Conf. Exhibit, p. 2978.Google Scholar
Biancofiore, L., Gallaire, F. & Heifetz, E. 2015 Interaction between counterpropagating Rossby waves and capillary waves in planar shear flows. Phys. Fluids 27 (4), 044104.CrossRefGoogle Scholar
Canton, J., Auteri, F. & Carini, M. 2017 Linear global stability of two incompressible coaxial jets. J.Fluid Mech. 824, 886–911.CrossRefGoogle Scholar
Cohn, R., Strakey, P., Bates, R., Talley, D., Muss, J. & Johnson, C. 2003 Swirl coaxial injector development. In 41st Aerospace Sciences Meeting and Exhibit. AIAA Paper 2013-125.CrossRefGoogle Scholar
Craik, A.D.D. 1988 Wave Interactions and Fluid Flows. Cambridge University Press.Google Scholar
Crow, S.C. & Champagne, F.H. 1971 Orderly structure in jet turbulence. J.Fluid Mech. 48 (3), 547–591.CrossRefGoogle Scholar
Davitian, J., Getsinger, D., Hendrickson, C. & Karagozian, A.R. 2010 Transition to global instability in transverse-jet shear layers. J.Fluid Mech. 661, 294–315.CrossRefGoogle Scholar
Ficuciello, A., Baillot, F., Blaisot, J.B., Richard, C. & Théron, M. 2017 a Acoustic response of an injection system to high-frequency transverse acoustic fields. Intl J. Spray Combust. Dyn. 9 (4), 217–229.CrossRefGoogle Scholar
Ficuciello, A., Blaisot, J.B., Richard, C. & Baillot, F. 2017 b Investigation of air-assisted sprays submitted to high frequency transverse acoustic fields: droplet clustering. Phys. Fluids 29 (6), 067103.CrossRefGoogle Scholar
Getsinger, D.R., Gevorkyan, L., Smith, O.I. & Karagozian, A.R. 2014 Structural and stability characteristics of jets in crossflow. J.Fluid Mech. 760, 342–367.CrossRefGoogle Scholar
Getsinger, D.R., Hendrickson, C. & Karagozian, A.R. 2012 Shear layer instabilities in low-density transverse jets. Exp. Fluids 53 (3), 783–801.CrossRefGoogle Scholar
Gill, G.S. 1978 A qualitative technique for concentric tube element optimization, utilizing the factor (dynamic head ratio ${}-1$). In AIAA 16th Aerospace Sciences Meeting.Google Scholar
Hallberg, M.P., Srinivasan, V., Gorse, P. & Strykowski, P.J. 2007 Suppression of global modes in low-density axisymmetric jets using coflow. Phys. Fluids 19 (1), 014102.CrossRefGoogle Scholar
Hallberg, M.P. & Strykowski, P.J. 2006 On the universality of global modes in low-density axisymmetric jets. J.Fluid Mech. 569, 493–507.CrossRefGoogle Scholar
Hallberg, M.P. & Strykowski, P.J. 2008 Open-loop control of fully nonlinear self-excited oscillations. Phys. Fluids 20 (4), 041703.CrossRefGoogle Scholar
Hilborn, R.C. 2000 Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers, 2nd edn. Oxford University Press.CrossRefGoogle Scholar
Huck, P., Orozco, R.O., Machicoane, N. & Aliseda, A. 2021 Enhanced drop transport by acoustic actuation in a spray. In 15th Triennial International Conference on Liquid Atomization and Spray Systems, vol. 1. ICLASS.CrossRefGoogle Scholar
Huerre, P. & Monkewitz, P.A. 1990 Local and global instabilities in spatially developing flows. Annu. Rev. Fluid Mech. 22, 473–537.CrossRefGoogle Scholar
Jeon, J., Hong, M., Han, Y.-M. & Lee, S.Y. 2011 Experimental study on spray characteristics of gas-centered swirl coaxial injectors. Trans. ASME J. Fluids Engng 133 (12), 121303.CrossRefGoogle Scholar
Juniper, M.P. 2006 The effect of confinement on the stability of two-dimensional shear flows. J.Fluid Mech. 565, 171–195.CrossRefGoogle Scholar
Juniper, M.P. & Candel, S.M. 2003 The stability of ducted compound flows and consequences for the geometry of coaxial injectors. J.Fluid Mech. 482, 257–269.CrossRefGoogle Scholar
Juniper, M.P., Li, L.K.B. & Nichols, J.W. 2009 Forcing of self-excited round jet diffusion flames. Proc. Combust. Inst. 32 (1), 1191–1198.CrossRefGoogle Scholar
Juniper, M.P. & Sujith, R.I. 2018 Sensitivity and nonlinearity of thermoacoustic oscillations. Annu. Rev. Fluid Mech. 50, 661–689.CrossRefGoogle Scholar
Kantz, H. & Schreiber, T. 2004 Nonlinear Time Series Analysis, 2nd edn. Cambridge University Press.Google Scholar
Kashinath, K., Li, L.K.B. & Juniper, M.P. 2018 Forced synchronization of periodic and aperiodic thermoacoustic oscillations: lock-in, bifurcations and open-loop control. J.Fluid Mech. 838, 690–714.CrossRefGoogle Scholar
Kumar, A. & Sahu, S. 2019 Large scale instabilities in coaxial air–water jets with annular air swirl. Phys. Fluids 31 (12), 124103.CrossRefGoogle Scholar
Lasheras, J.C. & Hopfinger, E.J. 2000 Liquid jet instability and atomization in a coaxial gas stream. Annu. Rev. Fluid Mech. 32 (1), 275–308.CrossRefGoogle Scholar
Lasheras, J.C., Villermaux, E. & Hopfinger, E.J. 1998 Break-up and atomization of a round water jet by a high-speed annular air jet. J.Fluid Mech. 357, 351–379.CrossRefGoogle Scholar
Lesshafft, L. & Huerre, P. 2007 Linear impulse response in hot round jets. Phys. Fluids 19 (2), 024102.CrossRefGoogle Scholar
Li, L.K.B. & Juniper, M.P. 2013 a Lock-in and quasiperiodicity in a forced hydrodynamically self-excited jet. J.Fluid Mech. 726, 624–655.CrossRefGoogle Scholar
Li, L.K.B. & Juniper, M.P. 2013 b Lock-in and quasiperiodicity in hydrodynamically self-excited flames: experiments and modelling. Proc. Combust. Inst. 34 (1), 947–954.CrossRefGoogle Scholar
Lightfoot, M.D.A. & Danczyk, S.A. 2009 Spray nonuniformities in gas-centered swirl-coaxial injectors. In 11th Triennial International Conference on Liquid Atomization and Spray Systems. ICLASS.CrossRefGoogle Scholar
Lightfoot, M.D.A., Danczyk, S.A. & Talley, D.G. 2006 Atomization in gas-centered swirl-coaxial injectors. In Proc. of 19th ILASS Americas. ILASS.Google Scholar
Lin, S.P. & Reitz, R.D. 1998 Drop and spray formation from a liquid jet. Annu. Rev. Fluid Mech. 30, 85–105.CrossRefGoogle Scholar
Marmottant, P. & Villermaux, E. 2004 On spray formation. J.Fluid Mech. 498, 73–111.CrossRefGoogle Scholar
Matas, J.-P. 2015 Inviscid versus viscous instability mechanism of an air–water mixing layer. J.Fluid Mech. 768, 375–387.CrossRefGoogle Scholar
Matas, J.-P., Delon, A. & Cartellier, A. 2018 Shear instability of an axisymmetric air–water coaxial jet. J.Fluid Mech. 843, 575–600.CrossRefGoogle Scholar
Matas, J.-P., Hong, M. & Cartellier, A. 2014 Stability of a swirled liquid film entrained by a fast gas stream. Phys. Fluids 26 (4), 042108.CrossRefGoogle Scholar
Megerian, S., Davitian, J., Alves, L.S.B. & Karagozian, A.R. 2007 Transverse-jet shear-layer instabilities. Part 1. Experimental studies. J.Fluid Mech. 593, 93–129.CrossRefGoogle Scholar
Monkewitz, P.A. 1988 The absolute and convective nature of instability in two-dimensional wakes at low Reynolds numbers. Phys. Fluids 31 (5), 999–1006.CrossRefGoogle Scholar
Monkewitz, P.A., Bechert, D.W., Barsikow, B. & Lehmann, B. 1990 Self-excited oscillations and mixing in a heated round jet. J.Fluid Mech. 213, 611–639.CrossRefGoogle Scholar
Monkewitz, P.A., Lehmann, B., Barsikow, B. & Bechert, D.W. 1989 The spreading of self-excited hot jets by side jets. Phys. Fluids A 1 (3), 446–448.CrossRefGoogle Scholar
Monkewitz, P.A. & Sohn, K.D. 1988 Absolute instability in hot jets. AIAA J. 26 (8), 911–916.CrossRefGoogle Scholar
Otto, T., Rossi, M. & Boeck, T. 2013 Viscous instability of a sheared liquid–gas interface: dependence on fluid properties and basic velocity profile. Phys. Fluids 25 (3), 032103.CrossRefGoogle Scholar
Park, G., Lee, J., Oh, S., Yoon, Y. & Sohn, C.H. 2016 Characteristics of gas-centered swirl coaxial injector with acoustic excitation of gas flow. AIAA J. 55 (3), 894–901.CrossRefGoogle Scholar
Provansal, M., Mathis, C. & Boyer, L. 1987 Bénard–von Kármán instability: transient and forced regimes. J.Fluid Mech. 182, 1–22.CrossRefGoogle Scholar
Rajamanickam, K. & Basu, S. 2017 Insights into the dynamics of spray–swirl interactions. J.Fluid Mech. 810, 82–126.CrossRefGoogle Scholar
Rees, S.J. & Juniper, M.P. 2009 The effect of surface tension on the stability of unconfined and confined planar jets and wakes. J.Fluid Mech. 633, 71–97.CrossRefGoogle Scholar
Sahoo, S.K., Chauhan, S., Gadgil, H., Kumar, S. & Kumar, K.S.B. 2021 Effect of acoustic excitation of gas flow in a gas-centered swirl coaxial injector. In 15th Triennial International Conference on Liquid Atomization and Spray Systems. ICLASS.CrossRefGoogle Scholar
Sahoo, S.K. & Gadgil, H. 2021 Dynamics of self-pulsation in gas-centered swirl coaxial injector: an experimental study. J.Propul. Power 37 (3), 450–462.CrossRefGoogle Scholar
Sahoo, S.K. & Gadgil, H. 2022 Large scale unsteadiness during self-pulsation regime in a swirl coaxial injector and its influence on the downstream spray statistics. Intl J. Multiphase Flow 149, 103944.CrossRefGoogle Scholar
Shoji, T., Harris, E.W., Besnard, A., Schein, S.G. & Karagozian, A.R. 2020 Transverse jet lock-in and quasiperiodicity. Phys. Rev. Fluids 5 (1), 013901.CrossRefGoogle Scholar
Sivakumar, D. & Kulkarni, V. 2011 Regimes of spray formation in gas-centered swirl coaxial atomizers. Exp. Fluids 51 (3), 587–596.CrossRefGoogle Scholar
Sreenivasan, K.R., Raghu, S. & Kyle, D. 1989 Absolute instability in variable density round jets. Exp. Fluids 7 (5), 309–317.CrossRefGoogle Scholar
Strogatz, S.H. 2019 Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, 2nd edn. CRC Press.Google Scholar
Tammisola, O., Lundell, F. & Söderberg, L.D. 2012 Surface tension-induced global instability of planar jets and wakes. J.Fluid Mech. 713, 632–658.CrossRefGoogle Scholar
Yang, V. & Anderson, W. 1995 Liquid Rocket Engine Combustion Instability, vol. 169. AIAA.Google Scholar