Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T12:59:41.606Z Has data issue: false hasContentIssue false
  • English
  • Français

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:giacomo.falcucci@uniparthenope.it
Email:stefano.ubertini@uniparthenope.it
Email:bella@uniroma2.it
Email:succi@iac.cnr.it
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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