Abstract
Initial filtration phenomena within highly porous filter media—ceramic foam filters (CFF) —were simulated by numerically solving the Navier-Stokes equations and the general transport equation for suspended particles. In this approach, a “piece” of the highly porous filter was modeled directly by constructing a calculation domain such that the main average geometrical properties of the real filters were embodied therein. The governing equations were then solved by imposing appropriate boundary conditions on the solid surfaces of the filter webs. The influences of Reynolds, Peclet, and Gravitational numbers, as well as filter porosity, on initial filtration efficiencies were investigated in this simulation. Predicted results were spotchecked against data from industrial filtration trials conducted by the authors for aluminum melts and found to be in good agreement.
Similar content being viewed by others
References
Chi Tien:Granular Filtration of Aerosols and Hydrosols, Butterworth and Co., Boston, MA, 1989.
J. Szekely and J.J. Poveromo:AIChE J., 1975, vol. 21 4, pp. 769–75.
A.C. Payatakes, C. Tien, and R.M. Turian:AIChE J., 1973, vol. 19 (1), pp. 67–76.
B. Fardi and B.Y.H. Liu:Aerosol Sci. Technol., 1992, pp. 36–44.
T. Iwasaki:J. Am. Water Works Assoc., 1937, vol. 29, pp. 1591–602.
Chi Tien:Granular Filtration of Aerosols and Hydrosols, Butterworth and Co., Boston, MA, 1989, p. 34.
D. Apelian and R. Mutharasan:J. Met., 1980, No. 9, pp. 14–18.
T.A. Engh, B. Rasch, and E. Bathen:Light Met., 1986, pp. 829–36.
F. Frisvold, T.A. Engh, S.T. Johansen, and T. Pedersen:Light Met., 1992, pp. 112–31.
I.S. Goldberg, K.Y. Lam, B. Bernstein, and J.O. Hutchens:J. Aerosol Sci., 1978, vol. 9, pp. 209–18.
H.C. Yen and B.Y.H. Liu:J. Aerosol Sci., 1974, vol. 5, pp. 191–204.
D.B. Ingham:J. Aerosol Sci., 1981, vol. 12 (4), pp. 357–65.
I.S. Goldberg:J. Aerosol Sci., 1981, vol. 12, pp. 11–14.
S. Joo and R.I.L. Guthrie:Metall. Trans. B, 1993, vol. 24B, pp. 755–65.
S.V. Patankar:Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, New York, NY, 1980, p. 133.
R. Rajagopalan and Chi Tien:AIChE. J., 1976, vol. 22 (3), pp. 523–33.
Chi Tien:Granular Filtration of Aerosols and Hydrosols, Butterworth and Co., Boston, MA, 1989, p. 234.
J. Happel:AIChE. J., 1958, vol. 4 (2), pp. 197–201.
J.P. Herzig, D.M. Leclerc, and P. Le Goff:Ind. Eng. Chem., 1970, vol. 62 (5), pp. 8–35.
W.A. Hall:J. Sanit. Eng. Div. Proc. Am. Soc. Civil Eng., SA3, 1957, pp. 1–9.
I.B. Stechkina and N.A. Fuchs:Ann. Occup. Hyg., 1966, vol. 9, pp. 59–64.
D.B. Ingham:Aerosol Sci., 1981, vol. 12 (4), pp. 357–65.
R. Rajagopalan:Can. J. Chem. Eng., 1977, vol. 55, pp. 246–51.
K.M. Yao, M.T. Habibian, and C.R. O’Melia:Environ. Sci. Technol., 1971, vol. 5 (11), pp. 1105–12.
C.R. O’Melia and W. Stumm:J. Am. Water Works Assoc, 1967, vol. 59, pp. 1393–1413.
C. Tian and R.I.L. Guthrie:Light Met., TMS, Warrendale, PA, 1993, pp. 1003–07.
A.C. Payatakes: Ph.D. Dissertation, Syracuse University, Syracuse, NY, 1973.
C. Tien:Granular Filtration of Aerosols and Hydrosols, Butterworth and Co., Boston, MA, 1989, p. 33.
K.J. Ives:Proc. Inst. Civil Eng., 1960, vol. 16, p. 189.
D. Doutre and R.I.L. Guthrie:Int. Symp. on Refining and Alloying of Liquid Aluminum and Ferroalloys, Trondheim, Norway, 1985, pp. 147–63.
F.A.L. Dullien:Porous Media: Fluid Transport and Pore Structure, Academic Press, New York, NY, 1979, p. 77.
F. Frisvold and T.A. Engh:2nd Australian Asian Pacific Course and Conference on Aluminum Melt Treatment and Casting, July 1–4, 1991, Melbourne, Australia, 1991, pp. 23:1–17.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tian, C., Guthrie, R.I.L. Direct simulation of initial filtration phenomena within highly porous media. Metall Mater Trans B 26, 537–546 (1995). https://doi.org/10.1007/BF02653871
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02653871