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Lattice Boltzmann Simulation of Cavitating Flows

Published online by Cambridge University Press:  03 June 2015

Giacomo Falcucci ,
Stefano Ubertini ,
Gino Bella  and
Sauro Succi
Giacomo Falcucci*
Affiliation:
Department of Technologies, University of Naples “Parthenope”, Centro Direzionale – Isola C4, 80143 Naples, Italy
Stefano Ubertini*
Affiliation:
DEIM – Industrial Engineering School, University ofTuscia, Largo dell’Universita s.n.c., 01100, Viterbo, Italy
Gino Bella*
Affiliation:
Department of Mechanical Engineering, University of “Tor Vergata”, Viale Politecnico, Rome, Italy
Sauro Succi*
Affiliation:
Istituto per le Applicazioni del Calcolo – CNR, Via dei Taurini, 00100 Roma, Italy
*
Corresponding author.Email:[email protected]
Email:[email protected]
Email:[email protected]
Email:[email protected]
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Abstract

The onset of cavitating conditions inside the nozzle of liquid injectors is known to play a major role on spray characteristics, especially on jet penetration and break-up. In this work, we present a Direct Numerical Simulation (DNS) based on the Lattice Boltzmann Method (LBM) to study the fluid dynamic field inside the nozzle of a cavitating injector. The formation of the cavitating region is determined via a multi-phase approach based on the Shan-Chen equation of state. The results obtained by the LBM simulation show satisfactory agreement with both numerical and experimental data. In addition, numerical evidence of bubble break-up, following upon flow-induced cavitation, is also reported.

Keywords

47.11.-j47.65.CbLattice Boltzmannmultiphase flowscavitationliquid spraynozzle
Type
Research Article
Information
Communications in Computational Physics , Volume 13 , Issue 3 , March 2013 , pp. 685 - 695
Copyright
Copyright © Global Science Press Limited 2013

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References

[1]Stiesch, G.Modeling Engine Spray and Combustion Processes. Springer-Verlag, Heidelberg, 2003.CrossRefGoogle Scholar
[2]Giannadakis, E., Papoulias, D., Gavaises, M., Arcoumanis, C., Sotieriou, C., and Tang, W.Evaluation of the predictive capability of diesel nozzle cavitation models. SAE Tech. Paper 200701-0245, 2007.Google Scholar
[3]Afzal, H., Arcoumanis, C., Gavaises, M., and Kampanis, N.Internal flow in diesel injector nozzles: Modelling and experiments. IMechE, pp. S492/S2/99, 1999.Google Scholar
[4]Roth, H., Gavaises, M., and Arcoumanis, C.Cavitation initiation, its development and link with flow turbulence in Diesel injector nozzles. SAE Tech. Paper 2002-01-0214, 2002.Google Scholar
[5]Tamaki, N., Shimizu, M., Nishida, K., and Hiroyasu, H.Effects of cavitation and internal flow on atomization of a liquid jet. Atomization and Sprays, 8(2): 179–197, 1998.Google Scholar
[6]Arcoumanis, C., Badami, M., Flora, H., and Gavaises, M.Cavitation in real-size multi-hole diesel injector nozzles. SAE Trans. J. Engines, 109(3): 1485–1500, 2000.Google Scholar
[7]Giannadakis, E., Gavaises, M., and Arcoumanis, C.Modelling of cavitation in diesel injector nozzles. J. Fluid Mech., 616: 153–193, 2008.Google Scholar
[8]Chibbaro, S., Falcucci, G., Chiatti, G., Chen, H., Shan, X., and Succi, S.Lattice Boltzmann models for nonideal fluids with arrested phase-separation. Phys. Rev. E, 77: 036705, 2008.Google Scholar
[9]Falcucci, G., Ubertini, S., and Succi, S.Lattice Boltzmann simulations of phase-separating flows at large density ratios: The case of doubly-attractive pseudo-potentials. Soft Matter, 6: 4357–4365, 2010.CrossRefGoogle Scholar
[10]Falcucci, G., Succi, S., and Ubertini, S.Magnetically driven droplet break-up and vaporization: A lattice Boltzmann study. J. Stat. Mech: Theory Exp., 2010: 05010, 2010.CrossRefGoogle Scholar
[11]Falcucci, G., Ubertini, S., Biscarini, C., Di Francesco, S., Chiappini, D., Palpacelli, S., De Maio, A., and Succi, S.Lattice Boltzmann methods for multiphase flow simulations across scales. Comm. Comput. Phys., 9(2): 269–296, 2011.Google Scholar
[12]Falcucci, G., Aureli, M., Ubertini, S., and Porfiri, M.Transverse harmonic oscillations of laminae in viscous fluids: a lattice Boltzmann study. Phil. Trans. Royal Soc. A, 369(1945): 2456–2466, 2011.CrossRefGoogle Scholar
[13]Sukop, M. C. and Or, D.Lattice Boltzmann method for homogeneous and heterogeneous cavitation. Phys. Rev. E, 71: 046703, 2005.CrossRefGoogle ScholarPubMed
[14]Chen, X.-P., Zhong, C.-W., and Yuan, X.-L.Lattice Boltzmann simulation of cavitating bubble growth with large density ratio. Comp. Math. App., 61(12): 3577–3584, 2011.Google Scholar
[15]Falcucci, G., Bella, G., Ubertini, S., Palpacelli, S., and De Maio, A.Lattice Boltzmann modeling of diesel spray formation and break-up. SAE Int. J. Fuels Lubr., 3: 582–593, 2010.Google Scholar
[16]Shan, X. and Chen, H.Lattice Boltzmann model for simulating flows with multiple phases and components. Phys. Rev. E, 47: 1815–1820, 1993.Google Scholar
[17]Shan, X. and Chen, H.Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation. Phys. Rev. E, 49: 2941–2948, 1994.Google Scholar
[18]Succi, S.The Lattice Boltzmann Equation for Fluid Dynamics and Beyond. Clarendon, Oxford, 2001.Google Scholar
[19]Bhatnagar, P., Gross, E., and Krook, M.A model for collisional processes in gases: Small amplitude processes in charged and neutral one-component system. Phys. Rev. Lett., 54, 1954.Google Scholar
[20]Qian, Y., D’Humières, D., and Lallemand, P. P.Lattice BGK models for Navier-Stokes equation. Europhys. Lett., 17(6): 479–484, 1992.Google Scholar
[21]Benzi, R., Succi, S., and Vergassola, M.The lattice Boltzmann equation: Theory and applications. Phys. Rep., 222(3): 145–197, 1992.Google Scholar
[22]Zaleski, S., Li, J., and Succi, S.Two-dimensional Navier-Stokes simulation of deformation and breakup of liquid patches. Phys. Rev. Lett., 75: 244–247, 1995.Google Scholar
[23]Batchelor, G. K.An Introduction to Fluid Dynamics. Cambridge University Press, 1967.Google Scholar
[24]Martynov, S.Numerical Simulation of the Cavitation Process in Diesel Fuel Injectors. PhD thesis, University of Brighton, 2005.Google Scholar
[25]Sou, A., Hosokawa, S., and Tomiyama, A.Effects of cavitation in a nozzle on liquid jet atomization. Int. J. Heat and Mass Trans., 50(17-18): 3575–3582, 2007.Google Scholar
[26]Chiatti, G., Chiavola, O., and Palmieri, F.Flow features in reduced dwell time diesel injector. SAE Tech. Paper 2008-01-0927, 2008.Google Scholar
[27]Lee, W. G. and Reitz, R. D.A numerical investigation of transient flow and cavitation within minisac and VCO diesel injector nozzles. ASME Conf. Proc., 643:ICES2009-76148, 2009.Google Scholar