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2021 | OriginalPaper | Buchkapitel

Polydisperse Spray Modeling Using Eulerian Method

verfasst von : Sourav Sarkar, Joydeep Munshi, Achintya Mukhopadhyay, Swarnendu Sen

Erschienen in: Sustainable Development for Energy, Power, and Propulsion

Verlag: Springer Singapore

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Abstract

Sprays play a significant role in many engineering applications such as liquid fuel injectors, industrial spray coaters, water sprinklers and agricultural sprayers. In most of the numerical study, Eulerian and Lagrangian formulations have been used for the gas and liquid phases, respectively. However, modeling of droplets using Lagrangian approach is computationally expensive for complex configuration. An Eulerian–Eulerian approach, also referred to as multi-fluid method in the literature, is developed in recent time to reduce the computation cost. This chapter presents a brief review of the recent studies on spray modeling using Eulerian multi-fluid method. Initially, one-dimensional transport of polydisperse evaporating water spray in a spatially varying velocity and temperature field is reported. A comprehensive analysis on droplet clustering pattern in an oscillating flow field is presented. Then, transport of polydisperse evaporating liquid spray in crossflow configuration using multi-fluid method is reported.

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Literatur
2.
Zurück zum Zitat Philips JC, Miller PCH (1999) Field and wind tunnel measurements of the airborne spray volume downwind of single flat-fan nozzles. J Agri Eng Res 72:161–170CrossRef Philips JC, Miller PCH (1999) Field and wind tunnel measurements of the airborne spray volume downwind of single flat-fan nozzles. J Agri Eng Res 72:161–170CrossRef
3.
Zurück zum Zitat Lefebvre AH (1989) Atomization sprays. Hemisphere Lefebvre AH (1989) Atomization sprays. Hemisphere
4.
Zurück zum Zitat Karagozian AR (2010) Transverse jets and their control. Prog Ener Combust Sci 36:531–553CrossRef Karagozian AR (2010) Transverse jets and their control. Prog Ener Combust Sci 36:531–553CrossRef
5.
Zurück zum Zitat Wu PK, Kirkendall KA, Fuller RP, Nejad AS (1997) Breakup processes of liquid jets in subsonic crossflow. J Propul Power 13:64–73CrossRef Wu PK, Kirkendall KA, Fuller RP, Nejad AS (1997) Breakup processes of liquid jets in subsonic crossflow. J Propul Power 13:64–73CrossRef
6.
Zurück zum Zitat Zhang L, Yang V (2017) Flow dynamics and mixing of a transverse jet in crossflow—part II: oscillating crossflow. ASME J Eng Gas Turbines Power 139(8):082602 Zhang L, Yang V (2017) Flow dynamics and mixing of a transverse jet in crossflow—part II: oscillating crossflow. ASME J Eng Gas Turbines Power 139(8):082602
7.
Zurück zum Zitat Schetz A, Kush EA, Joshi PB (1980) Wave phenomena in liquid jet breakup in a supersonic crossflow. AIAA J 18:774–778CrossRef Schetz A, Kush EA, Joshi PB (1980) Wave phenomena in liquid jet breakup in a supersonic crossflow. AIAA J 18:774–778CrossRef
8.
Zurück zum Zitat Inamura T, Nagai N (1997) Spray characteristics of liquid jet traversing subsonic airstreams. J Propul Power 13:250–256CrossRef Inamura T, Nagai N (1997) Spray characteristics of liquid jet traversing subsonic airstreams. J Propul Power 13:250–256CrossRef
9.
Zurück zum Zitat Tambe S, Jeng SM, Mongia H, Hsiao G (2005) Liquid jets in subsonic crossflow. In: 43rd AIAA aerospace sciences meeting and exhibit. American Institute of Aeronautics and Astronautics Tambe S, Jeng SM, Mongia H, Hsiao G (2005) Liquid jets in subsonic crossflow. In: 43rd AIAA aerospace sciences meeting and exhibit. American Institute of Aeronautics and Astronautics
10.
Zurück zum Zitat Sallam K, Ng C, Sankarakrishnan R, Aalburg C, Lee K (2006) Breakup of turbulent and non-turbulent liquid jets in gaseous crossflows. In: 44th AIAA aerospace sciences meeting and exhibit. American Institute of Aeronautics and Astronautics Sallam K, Ng C, Sankarakrishnan R, Aalburg C, Lee K (2006) Breakup of turbulent and non-turbulent liquid jets in gaseous crossflows. In: 44th AIAA aerospace sciences meeting and exhibit. American Institute of Aeronautics and Astronautics
11.
Zurück zum Zitat Kaplanski F, Sazhin SS, Rudi Y (2005) Particle dynamics and mixing in an oscillating viscous pair. Proc Est Acad Sci 11:140–153 Kaplanski F, Sazhin SS, Rudi Y (2005) Particle dynamics and mixing in an oscillating viscous pair. Proc Est Acad Sci 11:140–153
12.
Zurück zum Zitat Sazhin SS, Kaplanski F, Feng G, Heikal MR, Bowen PJ (2001) A fuel spray induced vortex ring. Fuel 80:1871–1883CrossRef Sazhin SS, Kaplanski F, Feng G, Heikal MR, Bowen PJ (2001) A fuel spray induced vortex ring. Fuel 80:1871–1883CrossRef
13.
Zurück zum Zitat Mashayek F, Pandya RVR (2003) Analytical description of particle/droplet-laden turbulent flows. Prog Ener Combust Sci 29:329–378CrossRef Mashayek F, Pandya RVR (2003) Analytical description of particle/droplet-laden turbulent flows. Prog Ener Combust Sci 29:329–378CrossRef
14.
Zurück zum Zitat Madabhushi RK (2003) A model for numerical simulation of breakup of a liquid jet in crossflow. Atomization Sprays 13:413–424CrossRef Madabhushi RK (2003) A model for numerical simulation of breakup of a liquid jet in crossflow. Atomization Sprays 13:413–424CrossRef
15.
Zurück zum Zitat Deshpande S, Gao J, Trujillo MF (2011) Characteristics of hollow cone sprays in crossflow. Atomization Sprays 21:349–361CrossRef Deshpande S, Gao J, Trujillo MF (2011) Characteristics of hollow cone sprays in crossflow. Atomization Sprays 21:349–361CrossRef
16.
Zurück zum Zitat Salewski M, Stankovic D, Fuchs L (2007) A comparison of single and multiphase jets in a crossflow using large eddy simulations. J Eng Gas Turbines Power 129:61–68CrossRef Salewski M, Stankovic D, Fuchs L (2007) A comparison of single and multiphase jets in a crossflow using large eddy simulations. J Eng Gas Turbines Power 129:61–68CrossRef
17.
Zurück zum Zitat Bai B, Sun H, Zhang H, Liu L (2011) Numerical study on turbulent mixing of spray droplets in crossflow. J Propul Power 27:132–143CrossRef Bai B, Sun H, Zhang H, Liu L (2011) Numerical study on turbulent mixing of spray droplets in crossflow. J Propul Power 27:132–143CrossRef
18.
Zurück zum Zitat Katoshevski D, Dodin Z, Ziskind G (2005) Aerosol clustering in oscillating flows: mathematical analysis. Atomization Sprays 15:401–412CrossRef Katoshevski D, Dodin Z, Ziskind G (2005) Aerosol clustering in oscillating flows: mathematical analysis. Atomization Sprays 15:401–412CrossRef
19.
Zurück zum Zitat Sazhin S, Shakked T, Sobolev V, Katoshevski D (2008) Particle grouping in oscillating flows. Eur J Mech B Fluids 27:131–149MathSciNetCrossRef Sazhin S, Shakked T, Sobolev V, Katoshevski D (2008) Particle grouping in oscillating flows. Eur J Mech B Fluids 27:131–149MathSciNetCrossRef
20.
Zurück zum Zitat Katoshevski D, Shakked T, Sazhin SS, Crua C, Heikal MR (2008) Grouping and trapping of evaporating droplets in an oscillating gas flow. Int J Heat Fluid Flow 29:415–426CrossRef Katoshevski D, Shakked T, Sazhin SS, Crua C, Heikal MR (2008) Grouping and trapping of evaporating droplets in an oscillating gas flow. Int J Heat Fluid Flow 29:415–426CrossRef
21.
Zurück zum Zitat Yang X, Thomas NH, Guo LJ (2000) Particle dispersion in organized vortex structures within turbulent free shear flows. Chem Eng Sci 55:1305–1324CrossRef Yang X, Thomas NH, Guo LJ (2000) Particle dispersion in organized vortex structures within turbulent free shear flows. Chem Eng Sci 55:1305–1324CrossRef
22.
Zurück zum Zitat Wen F, Kamalu N, Chung JN, Crowe CT, Troutt TR (1992) Particle dispersion by vortex structures in plane mixing layers. J Fluids Eng 114:657–666CrossRef Wen F, Kamalu N, Chung JN, Crowe CT, Troutt TR (1992) Particle dispersion by vortex structures in plane mixing layers. J Fluids Eng 114:657–666CrossRef
23.
Zurück zum Zitat Greenberg JB, Silverman I, Tambour Y (1993) On the origins of spray sectional conservation equations. Combust Flame 93:90–96CrossRef Greenberg JB, Silverman I, Tambour Y (1993) On the origins of spray sectional conservation equations. Combust Flame 93:90–96CrossRef
24.
Zurück zum Zitat Laurent F, Massot M (2001) Multi-fluid modelling of laminar polydisperse spray flames: origin, assumptions and comparison of sectional and sampling methods. Combust Theor Model 5:537–572CrossRef Laurent F, Massot M (2001) Multi-fluid modelling of laminar polydisperse spray flames: origin, assumptions and comparison of sectional and sampling methods. Combust Theor Model 5:537–572CrossRef
25.
Zurück zum Zitat Marchisio DL, Fox RO (2005) Solution of population balance equations using the direct quadrature method of moments. J Aerosol Sci 36:43–73CrossRef Marchisio DL, Fox RO (2005) Solution of population balance equations using the direct quadrature method of moments. J Aerosol Sci 36:43–73CrossRef
26.
Zurück zum Zitat Vié A, Laurent F, Massot M (2013) Size-velocity correlations in hybrid high order moment/multi-fluid methods for polydisperse evaporating sprays: modeling and numerical issues. J Comput Phys 237:177–210 Vié A, Laurent F, Massot M (2013) Size-velocity correlations in hybrid high order moment/multi-fluid methods for polydisperse evaporating sprays: modeling and numerical issues. J Comput Phys 237:177–210
27.
Zurück zum Zitat Ranz WE, Marshall WRJ (1952) Evaporation from drops, part I and part II. Chem Eng Prog 48:173–180 Ranz WE, Marshall WRJ (1952) Evaporation from drops, part I and part II. Chem Eng Prog 48:173–180
28.
Zurück zum Zitat Miller RS, Harstad K, Bellan J (1998) Evaluation of equilibrium and non-equilibrium evaporation models for many-droplet gas-liquid flow simulations. Int J Multiph Flow 24:1025–1055CrossRef Miller RS, Harstad K, Bellan J (1998) Evaluation of equilibrium and non-equilibrium evaporation models for many-droplet gas-liquid flow simulations. Int J Multiph Flow 24:1025–1055CrossRef
29.
Zurück zum Zitat Sazhin SS (2006) Advanced models of fuel droplet heating and evaporation. Prog Ener Combust Sci 32:162–214CrossRef Sazhin SS (2006) Advanced models of fuel droplet heating and evaporation. Prog Ener Combust Sci 32:162–214CrossRef
Metadaten
Titel
Polydisperse Spray Modeling Using Eulerian Method
verfasst von
Sourav Sarkar
Joydeep Munshi
Achintya Mukhopadhyay
Swarnendu Sen
Copyright-Jahr
2021
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-5667-8_19