A mathematical model for predicting spray atomization characteristics in an Eulerian-Eulerian framework

International Communications in Heat and Mass Transfer

Volumn 37, Issue 6, 2010, Pages 618-623

  Aly, Hossam S ^a   Eldrainy, Yehia A ^a   Saqr, Khalid M ^a   Lazim, Tholudin M ^a   Jaafar, Mohammad Nazri Mohd ^a  

^a UNIVERSITI TEKNOLOGI MALAYSIA   (Malaysia)

Author keywords

Atomization; CFD; Droplet break up; Population balance; Turbulence

Indexed keywords

AIRBLAST ATOMIZER; CFD MODELS; CFD SOLVER; DROPLET BREAKUP; EULERIAN-EULERIAN; EULERIAN-EULERIAN APPROACH; EXPERIMENTAL DATA; NEW MATHEMATICAL MODEL; POPULATION BALANCE; POPULATION BALANCE EQUATION; POPULATION BALANCES; SPRAY ATOMIZATION;

ATOMIZATION; DRAG; DROP FORMATION; JETS; NAVIER STOKES EQUATIONS; TURBULENCE;

MATHEMATICAL MODELS;

EID: 77953542089     PISSN: 07351933     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.icheatmasstransfer.2010.02.003     Document Type: Article

References (38)

1. Kolaitis D.I., Foumti N.A. A comparative study of numerical models for Eulerian-Lagrangian simulations of turbulent evaporating sprays. International Journal of Heat and Fluid Flow 2006, 27(3):424-435.
2. Bozorgi Y., Keshavarz P., Taheri M., Fathikaljahi J. Simulation of a spray scrubber performance with Eulerian/Lagrangian approach in the aerosol removing process. Journal of Hazardous Materials 2006, 137(1):509-517.
3. Laurent F., Massot M., Villedieu P. Eulerian multi-fluid modeling for the numerical simulation of coalescence in polydisperse dense liquid sprays. Journal of Computational Physics 2004, 194(2):505-543.
4. Guo Y.C., Chan C.K., Lau K.S. A pure Eulerian model for simulating dilute spray combustion. Fuel 2002, 81(16):2131-2144.
5. Fox R.O., Laurent F., Massot M. Numerical simulation of spray coalescence in an Eulerian framework: direct quadrature method of moments and multi-fluid method. Journal of Computational Physics 2008, 227(6):3058-3088.
6. Nijdam J.J., Guo B., Fletcher D.F., Langrish T.A. Lagrangian and Eulerian models for simulating turbulent dispersion and coalescence of droplets within a spray. Applied Mathematical Modelling 2006, 30(11):1196-1211.
7. Mostafa A.A., Mongia H.C. On the modeling of turbulent evaporating sprays: Eulerian versus Lagrangian approach. International Journal of Heat and Mass Transfer 1987, 30(12):2583-2593.
8. Lee B.E., Tu J.Y., Fletcher C.A. On numerical modeling of particle-wall impaction in relation to erosion prediction: Eulerian versus Lagrangian method. Wear 2002, 252(3-4):179-188.
9. Hulburt H., Katz S. Some problems in particle technology. A statistical mechanical formulation. Chemical Engineering Science 1964, 19:555-574.
10. Ramkrishna D. The framework of population balance. Population Balances 2000, Academic Press, San Diego.
11. Ramkrishna D., Mahoney A.W. Population balance modeling: promise for the future. Chemical Engineering Science 2002, 57:595-606.
12. Costa C.B.B., Maciel M.R.W., Filho R.M. Considerations on the crystallization modeling: Population balance solution. Computers and Chemical Engineering 2007, 31(3):206-218.
13. Bhole M.R., Joshi J.B., Ramkrishna D. CFD simulation of bubble columns incorporating population balance modeling. Chemical Engineering Science 2008, 63(8):2267-2282.
14. Chen P., Sanyal J., Dudukovi- M.P. Numerical simulation of bubble columns flows: effect of different breakup and coalescence closures. Chemical Engineering Science 2005, 60(4):1085-1101.
15. Khosid S. On the solution of population balance equations for multisize aerosol cloud undergoing simultaneous evaporation and coalescence. Journal of Aerosol Science 2002, 33(3):533-551.
16. Lasheras J.C., Eastwood C., Martinez-Bazaan C., Montanes J.L. A review of statistical models for the break-up of an immiscible fluid immersed into a fully developed turbulent flow. International Journal of Multiphase Flow 2002, 28:247-278.
17. Madsen J., Hjertager B.H., Solberg T., N-rskov P., Rus-s J. Application of the direct quadrature method of moments to Y-jet water sprays. Proceedings ICLASS 2006 2006, ID 103.
18. Kolmogorov A.N. On the disintegration of drops in a turbulent flow. Doklady Akademii Nauk SSSR 1949, 66:825-828.
19. Hinze J.O. Fundamentals of the hydrodynamic mechanism of splitting in dispersion process. AIChE Journal 1955, 1(3):289-295.
20. Landau L.D., Lifshitz E.M. Fluid Mechanics 1987, Pergamon Press, Oxford. 2nd edition.
21. Batchelor G.K. The Theory of Homogeneous Turbulence 1956, Cambridge University Press, London.
22. Martinez-Bazan C., Montanes J.L., Lasheras J.C. On the break-up of an air bubble injected into a fully developed turbulent flow. Part I: break-up frequency. Journal of Fluid Mechanics 1999, 401:157-182.
23. Eastwood C., Cartellier A., Lasheras J.C. The break-up time of a droplet in a fully developed turbulent flow. Advances in Turbulence VIII, Proceedings of the Eight European Turbulence Conference 2000, 573-576. Barcelona.
24. Kocamustafaogullari G., Ishii M. Foundation of the interfacial area transport equation and its closure relations. International Journal of Heat and Mass Transfer 1995, 38(3):481-493.
25. Kolev N.I. Multiphase Flow Dynamics 2 Thermal and Mechanical Interactions 2002, Springer-Verlag, Berlin.
26. Pilch M., Erdman C.A., Reynolds A.B. Acceleration Induced Fragmentation of Liquid Drops 1981, Department of Nuclear Engineering, University of Virginia, harlottesville, VA, NUREG/CR-2247.
27. Drew D.A. Mathematical modeling of two-phase flow. Annual Review of Fluid Mechanics 1983, 15:261-291.
28. Choi C.R., Kwon T.S., Song C.H. Numerical analysis and visualization experiment on behavior of borated water during MSLB with RCP running mode in an advanced reactor. Nuclear Engineering and Design 2007, 237(7):778-790.
29. Nieuwland J.J., Van Sint Annaland M., Kuipers J.A.M., Van Swaaij W.P.M. Hydrodynamic modeling of gas/particle flows in riser reactors. AIChE Journal 1996, 42(6):1569-1582.
30. Rundqvist R., Ljus C., Van Wachem B. Experimental and numerical investigation of particle transport in a horizontal pipe. AIChE Journal 2005, 51(12):3101-3108.
31. McGraw R. Description of aerosol dynamics by the quadrature method of moments. Aerosol Science and Technology 1997, 27(2):255-265.
32. Marchisio D.L., Vigil R.D., Fox R.O. Quadrature method of moments for aggregation-breakage processes. Journal of Colloid and Interface Science 2003, 258(2):322-334.
33. Alopaeus V., Laakkonen M., Aittamaa J. Numerical solution of moment-transformed population balance equation with fixed quadrature points. Chemical Engineering Science 2006, 61(15):4919-4929.
34. Shih T.-H., Liou W.W., Shabbir A., Yang Z., Zhu J. A new k-Ε eddy-viscosity model for high Reynolds number turbulent flows - model development and validation. Computers Fluids 1995, 24(3):227-238.
35. Liu Hai-Feng, Li Wei-Feng, Gong Xin, Cao Xian-Kui, Xu Jian-Liang, Chen Xue-Li, Wang Yi-Fei, Yu Guang-Suo, Wang Fu-Chen, Yu Zun-Hong Effect of liquid jet diameter on performance of coaxial two-fluid airblast atomizers. Chemical Engineering and Processing 2006, 45:240-245.
36. Jiyuan T., Guan H.Y., Chaoqun L. Computational Fluid Dynamics: a Practical Approach 2008, 163-175. Butterworth-Heinemann Piblishing.
37. Wang T., Wang J., Jin Y. Theoretical prediction of flow regime transition in bubble columns by the population balance model. Chemical Engineering Science 2005, 60:6199-6209.
38. Deichsel M., Winter E.R.F. Adiabatic two-phase pipe flow of air-water mixtures under critical flow conditions. International Journal of Multiphase Flow 1990, 16(3):391-406.