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Flow, Turbulence and Combustion

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07-05-2020

Assessment of Droplet Breakup Models for Spray Flow Simulations

Authors: C. Sula, H. Grosshans, M. V. Papalexandris

Published in: Flow, Turbulence and Combustion | Issue 3/2020

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Abstract

In this paper we examine droplet behavior and macroscopic atomization characteristics of a non-reactive liquid spray via a series of large-eddy simulations. In our numerical study we examine three popular models for spray atomization, namely, the Taylor analogy breakup (TAB), Reitz–Diwakar and Pilch–Erdman models, and compare their predictions against available experimental data. According to our simulations, and for the flow conditions considered herein, the TAB model exhibits a slightly better performance than the other two models do. Further, since the TAB model is known to underestimate the effect of disruptive drag forces, we present a modification to it and assess its predictive capacity. More specifically, according to the numerical test presented herein, our modification has the potential to improve the accuracy in the numerical computation of important global quantities of the spray, such as the liquid and vapor penetration distances.

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Alderliesten, M.: Mean particle diameters. Part VII. The Rosin–Rammler size distribution: physical and mathematical properties and relationships to moment-ratio defined mean particle diameters. Part. Part. Syst. Charact. 30(3), 244–257 (2013)

Amsden, A.A., O’Rourke, P.J., Butler, T.D.: KIVA-II: a computer program for chemically reactive flows with sprays. Los Alamos National Lab. REP. LA-11560-MS DE89012805 (1989)

Beatrice, C., Belardini, P., Berteli, C., Camerotti, M., Cirillo, N.C.: Fuel jet models for multidimensional diesel combustion calculation: an update. SAE Int. J. Engines 104, 194–204 (1995)

Bianchi, G.M., Pelloni, P.: Modeling the diesel fuel spray breakup by using a hybrid model. In: SAE technical paper series. SAE International (1999)

Brodkey, R.S., Addison, W.: The phenomena of fluid motions. J. Fluid Mech. 34, 821–822 (1968)

Burcat, A., Ruscic, B.: Third millenium ideal gas and condensed phase thermochemical database for combustion (with update from active thermochemical tables). Argonne National Laboratory Technical Report ANL-05/20 and Technion—Israel Inst. of Tech. Report TAE 960

Chai, X., Mahesh, K.: Dynamic k-equation model for large-eddy simulation of compressible flows. J. Fluid Mech. 699, 385–413 (2012)MathSciNetMATH

Dukowicz, J.K.: A particle-fluid numerical model for liquid sprays. J. Comput. Phys. 35, 229–252 (1980)MathSciNetMATH

ECN: Sprays A & B, Engine Combustion Network (2018). https://ecn.sandia.gov/diesel-spray-combustion/computational-method/modeling-standards/. Accessed 1 Apr 2020

ECN: Sprays A & B, Engine Combustion Network (2019). https://ecn.sandia.gov/diesel-spray-combustion/target-condition/spray-ab/. Accessed 1 Apr 2020

Elkotb, M.M.: Fuel atomization for spray modelling. Prog. Energy Combust. Sci. 8, 61–91 (1982)

Faeth, G.M., Hsiang, L.P., Wu, P.K.: Structure and breakup properties of sprays. Int. J. Multiphas. Flow 21, 99–127 (1995)MATH

Favre, A.: Turbulence: space–time statistical properties and behavior in supersonic flows. Phys. Fluids 26, 2851–2863 (1983)MATH

Greifzu, F., Kratzsch, C., Forgber, T., Lindner, F., Schwarze, R.: Assessment of particle-tracking models for dispersed particle-laden flows implemented in openfoam and ansys fluent. Eng. Appl. Comput. Fluid Mech. 10(1), 30–43 (2016)

Grosshans, H., Berrocal, E., Kristensson, E., Szász, R.: Prediction and measurement of the local extinction coefficient in sprays for 3D simulation/experiment data comparison. Int. J. Multiphas. Flow 72, 218–232 (2015)

Grosshans, H., Griesing, M., Mönckedieck, M., Hellwig, T., Walther, B., Gopireddy, S.R., Sedelmayer, R., Pauer, W., Moritz, H.U., Urbanetz, N.A., Gutheil, E.: Numerical and experimental study of the drying of bi-component droplets under various drying conditions. Int. J. Heat Mass Transf. 96, 97–109 (2016)

Hsiang, L.P., Faeth, G.M.: Near-limit drop deformation and secondary breakup. Int. J. Multiphas. Flow 18, 635–652 (1992)MATH

Ibrahim, A.E., Yang, H.Q., Przekwas, J.A.: Modeling of spray droplets deformation and breakup. J. Propul. Power 9, 651–654 (1993)

IFPEN: IFPEN experimental data (2019). https://ecn.sandia.gov/ecn-data-search/. Accessed 1 Apr 2020

Issa, R.I.: Solution of the implicitly discretised fluid flow equations by operator-splitting. J. Comput. Phys. 62(1), 40–65 (1986)MathSciNetMATH

Lacaze, G., Misdariis, A., Ruiz, A., Oefelein, J.C.: Analysis of high-pressure Diesel fuel injection processes using LES with real-fluid thermodynamics and transport. Proc. Combust. Inst. 35(2), 1603–1611 (2015)

Lamb, H.: Hydrodynamics, 6th edn. Dover, Mineola (1945)MATH

Lefebvre, A., McDonell, V.: Atomization and Sprays, 2nd edn. CRC Press, Cambridge (2017)

Liu, A.B., Mather, D., Reitz, R.D.: Modeling the effects of drop drag and breakup on fuel sprays. Technical Paper Series 930072, (1993)

Matheis, J., Hickel, S.: Multi-component vapor-liquid equilibrium model for LES of high-pressure fuel injection and application to ECN spray A. Int. J. Multiph. Flow 99, 294–311 (2018)MathSciNet

Matysiak, A.: Euler–Lagrange Verfahren zur Simulation tropfenbeladener Strömung in einem Verdichtergitter. Ph.D. thesis, Helmut-Schmidt Universität, Hamburg (2007)

Moin, P., Squires, K., Cabot, W., Lee, S.: A dynamic subgrid-scale model for compressible turbulence and scalar transport. Phys. Fluids A: Fluid Dyn. 3(11), 2746–2757 (1991)MATH

Nicholls, J.A.: Stream and droplet breakup by shock waves. NASA-SP-194 Technical Report, pp. 126–128 (1972)

Nicholson, L., Fang, X., Camm, J., Davy, M., Richardson, D.: Comparison of transient diesel spray break-up between two computational fluid dynamics codes. SAE International (2018)

O’Rourke, P.J., Amsden, A.A.: The TAB method for numerical calculation of spray droplet breakup. In: SAE Technical Paper Series, 872089. SAE International (1987)

Park, J.H., Yoon, Y., Hwang, S.S.: Improved tab model for prediction of spray droplet deformation and breakup. At. Spray 12(4), 387–401 (2002)

Pickett, L.M., Abraham, J.P.: Computed and measured fuel vapor distribution in a diesel spray. At. Spray 20(3), 241–250 (2010)

Pilch, M.: Acceleration induced fragmentation of liquid drops. Ph.D. thesis, Univ. of Virginia (1981)

Pilch, M., Erdman, C.A.: Use of breakup time data and velocity history data to predict the maximum size of stable fragments for acceleration-induced breakup of a liquid drop. Int. J. Multiph. Flow 13, 741–757 (1987)

Ranz, W.E., Marshall, W.R.: Evaporation from drops: part I. Chem. Eng. Prog. 48(3), 141–146 (1952a)

Ranz, W.E., Marshall, W.R.: Evaporation from drops: part II. Chem. Eng. Prog. 48(3), 173–180 (1952b)

Reinhardt, Y., Kleiser, L.: Validation of particle-laden turbulent flow simulations including turbulence modulation. J. Fluids Eng. 137(7), 071303 (2015)

Reitz, R., Bracco, V.F.: Mechanisms of breakup of round liquid jets. Encycl. Fluid Mech. 3, 233–249 (1986)

Reitz, R.D., Diwakar, R.: Structure of high-pressure fuel sprays. In: SAE Technical Paper Series, 870598. SAE International (1987)

Sirignano, W.A.: Fluid Dynamics and Transport of Droplets and Sprays, 2nd edn. Cambridge University Press, Cambridge (2010)

Solsvik, J., Skjervold, V.T., Han, L., Luo, H., Jakobsen, H.A.: A theoretical study on drop breakup modeling in turbulent flows: the inertial subrange versus the entire spectrum of isotropic turbulence. Chem. Eng. Sci. 149, 249–265 (2016)

Tanner, F.X.: Liquid jet atomization and droplet breakup modeling of non-evaporating diesel fuel sprays. In: SAE Technical Paper Series, 970050. SAE International (1997)

Vesilind, P.A.: The Rosin–Rammler particle size distribution. Resour. Recovery Conserv. 5, 275–277 (1980)

Weller, H.G., Tabor, G., Jasak, H., Fureby, C.: A tensorial approach to computational continuum mechanics using object-oriented techniques. Comput. Phys. 12, 620–631 (1998)

Wierzba, A.: Deformation and breakup of liquid drops in a gas stream at nearly critical Weber numbers. Exp. Fluids 9(1), 59–64 (1990)

Wu, P.K., Faeth, G.M.: Aerodynamic effects on primary breakup of turbulent liquids. At. Spray 3, 265–289 (1993)

Yang, S., Yi, P., Habchi, C.: Real-fluid injection modeling and LES simulation of the ECN spray A injector using a fully compressible two-phase flow approach. Int. J. Multiph. Flow 122, 103–145 (2020)

Yoon, S.S., Hewson, J., DesJardin, P.E., Glaze, D., Black, A.R., Skaggs, R.R.: Numerical modeling and experimental measurements of a high speed solid-cone water spray for use in fire suppression applications. Int. J. Multiph. Flow 30, 1369–1388 (2004)MATH

Yoshizawa, A.: Statistical theory for compressible turbulent shear flows, with the application to subgrid modeling. Phys. Fluids 29, 2152–2164 (1987)MATH

Title: Assessment of Droplet Breakup Models for Spray Flow Simulations
Authors: C. Sula
H. Grosshans
M. V. Papalexandris
Publication date: 07-05-2020
Publisher: Springer Netherlands
Published in: Flow, Turbulence and Combustion / Issue 3/2020
Print ISSN: 1386-6184
Electronic ISSN: 1573-1987
DOI: https://doi.org/10.1007/s10494-020-00139-9

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