Modified method of characteristics for solving population balance equations

International Journal for Numerical Methods in Fluids

Volumn 42, Issue 11, 2003, Pages 1211-1236

  Pilon, Laurent ^a   Viskanta, Raymond ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b PURDUE UNIVERSITY   (United States)

Author keywords

Dispersed phases; Method of characteristics; Particulate flows; Population balance theory; Two phase flow

Indexed keywords

COMPUTER PROGRAM LISTINGS; FINITE ELEMENT METHOD; FINITE VOLUME METHOD;

POPULATION BALANCE EQUATIONS;

FLOW OF FLUIDS;

LAGRANGIAN ANALYSIS; MATHEMATICAL METHOD; ONE-DIMENSIONAL FLOW; PARTICULATE FLOW; TWO-PHASE FLOW;

EID: 0042386455     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.586     Document Type: Article

References (25)

1. Ishii M. Thermo-Fluid Dynamics Theory of Two-Phase Flow. Eyrolles: Paris, 1975.
2. Lahey RT, Drew DA. On the development of multidimensional two-fluid models for vapor/liquid two-phase flows. Chemical Engineering Communications 1992; 118:125-139.
3. Carrica PM, Bonetto FJ, Drew DA, Lahey Jr RT. The interaction of background ocean air bubbles with a surface ship. International Journal for Numerical Methods in Fluids 1998; 28:571-600.
4. Ramkrishna D. The status of population balances. Review in Chemical Engineering 1985; 3(1)49-95.
5. Ramkrishna D. Population Balances. Academic Press: San Diego, CA, 2000.
6. Motz S, Mitrović A, Gilles E-D. Comparison of numerical methods for the simulation of dispersed phase systems. Chemical Engineering Science 2002; 57:4329-4344.
7. Kumar S, Ramkrishna D. On the solution of population balance equation by discretization-I a fixed pivot technique. Chemical Engineering Science 1996; 51(8):1311-1332.
8. Kumar S, Ramkrishna D. On the solution of population balance equation by discretization-II a moving pivot technique. Chemical Engineering Science 1996; 51(8):1311-1332.
9. Kumar S, Ramkrishna D. On the solution of population balance equation by discretization-III nucleation, growth, and aggregation of particles. Chemical Engineering Science 1997; 52(4):4659-4679.
10. Ungan A, Payli RU, Balkanli B. Numerical model of polydispersed silica grain dissolution in glass melting furnaces. Journal of the American Ceramic Society 1994; 77(7):1921-1927.
11. Balkanli B, Ungan A. Numerical simulation of bubble behaviour in glass melting tanks. Part 4. Bubble number density distribution. Glass Technology 1996; 3(5):164-168.
12. Rousseaux J-M, Vial C, Muhr H, Plasari E. CFD simulation of precipitation in the sliding-surface mixing device. Chemical Engineering Science 2001; 56:1677-1685.
13. Hounslow MJ, Ryall RL, Marshall VR. A discretized population balance for nucleation, growth, and aggregation. AIChE Journal 1988; 34(11):1821-1832.
14. Allievi A, Bermejo R. Finite element modified method of characteristics for Navier-Stokes equations. International Journal for Numerical Methods in Fluids 2000; 32:439-464.
15. Patankar S. Numerical Heat Transfer and Fluid Flow. Hemisphere: Washington, DC, 1980.
16. Marcum DL, Hoffman JD. Calculation of three-dimensional flowfields by the unsteady method of characteristics. AIAA Journal 1985; 23(10):1497-1505.
17. Marcum DL. Calculation of three-dimensional inviscid flowfields. Ph.D. Thesis, Purdue University, 1985.
18. Wang BN, Hoffman JD. Calculation of annular nozzle trisonic flowfields by the method of characteristics. Journal of Propulsion and Power 1988; 4(3):228-235.
19. Parpia IH. Multidimensional time dependent method of characteristics. Ph.D. Thesis, Purdue University, 1986.
20. Dabral MM, Roy S, Bhaskarwar AN. General kinetic invariant model of dissolution of large polydisperse particles. The Chemical Engineering Journal 1996; 61:161-170.
21. Hunter JB, Asenjo JA. A population balance model of enzymatic lysis of microbial cells. Biotechnology and Bioengineering 1990; 35:31-42.
22. Shah BH, Ramkrishna D. A population balance model for mass transfer in lean liquid-liquid dispersion. Chemical Engineering Science 1973; 28:389-399.
23. Magnaudet JJM. The forces acting on bubbles and rigid particles. In ASME Fluids Engineering Division Summer Meeting, FEDSM'97, Part 16, Vancouver, Canada, June 22-26, 1997.
24. Fox RW, McDonald AT. Introduction to Fluid Mechanics (5th edn). Wiley: New York, NY, 1998.
25. Hoffman JD. Numerical Methods for Engineers and Scientists. McGraw Hill: New York, NY, 1998.