Modele makroskopowe w filtracji pospiesznej

• Autorzy: Zielina M. , Dąbrowski W.

Warianty tytułu

EN

Macroscopic models in deep bed filtration

• Języki publikacji: PL

Abstrakty

EN

A comprehensive literature study on phenomenological (macroscopic) methods of deep bed filtration modelling has been presented. The discussion has been focused on three aspects of the theory: the mass balance equation, possible adaptivity of the method to real technical applications in water treatment technology, and the role phenomenological (macroscopic) models play in modern Unit Bed Element Theory.

Słowa kluczowe

PL

filtracja wgłębna; modelowanie matematyczne; oczyszczanie wody i ścieków

• Wydawca: Wydawnictwo Politechniki Krakowskiej im. Tadeusza Kościuszki
• Czasopismo: Czasopismo Techniczne. Budownictwo
• Rocznik: 2001
• Tom: R. 98, z. 3-B
• Strony: 202--221
• Opis fizyczny: Bibliogr. 74 poz., il.

Twórcy

autor

Zielina M.

autor

Dąbrowski W.

Bibliografia

• [1] J. Litwiniszyn, Particular case of colmatage proceeding under the action of an inject of suspension, Bulletin de L'academie Polonaise des Sciences, Serie des science techniques, Vol. 13, No. 10, 1965, p. 531.
• [2] J. Litwiniszyn, On some mathematical models of the suspension flow in porous media, Chemical Engineering Science, Vol. 22, 1967, p. 1315.
• [3] J. Litwiniszyn, The phenomenon of colmatage considered in the light of Markow processes, Vol. 16, No. 4, 1968, p. 183.
• [4] D.D. Putnaam, M.A. Burns, Predicting the filtration of noncoagulating particles in depth filters, Chemical Engineering Science, Vol. 52, No. 1, 1997, p. 93.
• [5] W. Kraj, Presented by J. Litwiniszyn, A simplified model of colmatage accompanied by diffusion process, Bulletin de L'academie Polonaise des Sciences, Serie des science techniques, Vol. 14, No. 8, 1966, p. 477.
• [6] J. Litwiniszyn, Cauchy's problem in the process of colmatage accompanied by diffusion, Bulletin de L'academie Polonaise des Sciences, Serie des science techniques, Vol. 14, No. 7, 1966, p. 477.
• [7] W. Dąrowski, Consequences of the mass balance simplification in modelling deep filtration, Water Research, Vol. 22, No. 10, 1988, p. 1219.
• [8] J. Litwiniszyn, On suspension flow in a porous medium, Int. J. Engng. Sci., Vol. 5, 1967, p. 435.
• [9] R.M.W. Horner, R.J. Jarvis, R.I. Mackie, Deep bed filtration: a new look at the basic equations, Water Research, Vol. 20, No. 2, 1986, p. 215.
• [10] A. Adin, Solution of granular bed filtration equations, Journal of the Environmental Engineering, Vol. 104, No. EE3, 1978, p. 471.
• [11] F.H Chaudry, Theory of declining rate filtration. I: Continuous operation, Journal of Environmental Engineering, Vol. 113, No. 4, 1987, p. 835.
• [12] W. Dąbrowski, S. Burys, A multimedia filter in numerical calculation, Acta hydrochim. hydrobiol., Vol. 15, No. 5, 1987, p. 511.
• [13] J.R. Hunt, B. Hwang, L.M. Mc Dowell-Boyer, Solids accumulation during deep bed filtration, Environmental Science Technology, Vol. 27, No. 6, 1993, p. 1099.
• [14] K.J. Ives, Rational design of filters, Proc. Inst. Civil Engrs. (London), Vol. 16, No. 189, 1960, p. 189.
• [15] C.S.P. Ojha, N.J.D. Graham, Appropriate use of deep bed filtration models, Journal of the Environmental Engineering, Vol. 118, No. 6, 1992, p. 965.
• [16] C.S.P. Ojha, N.J.D. Graham, Theoretical estimates of bulk specific deposit in deep-bed filters, Water Research, Vol. 27, No. 3, 1993, p. 377.
• [17] A. Saatci, The BDST method for deep bed filtration, Second World Filtration Congress, London, England, 18-20 september, 1979.
• [18] I. Iwasaki, Some notes on sand filtration, J. Am. Wat. Wks. Ass., Vol. 29, 1937, p. 1591.
• [19] K.J. Ives, R.M.W. Horner, Radial filtration, Proc. Inst. Civ. Engrs., Vol. 55, 1973, p. 229.
• [20] K.J. Ives, Filtration using radioactive algae, Journal of the Sanitary Engineering Division, Vol. 87, No. SA3, 1961, p. 23.
• [21] W. Dąbrowski, Badania hydrauliczne stacji filtrów o zmiennej wydajności, Monografia 170, Politechnika Krakowska, Kraków 1994.
• [22] Hsu-Wen Chiang, Chi Tien, Dynamics of deep bed filtration - part I, AIChE J., Vol. 31, No. 8, 1985, p. 1349.
• [23] D.M. Fox, J.L. Cleasby, Experimental evaluation of sand filtration theory, Journal of the Sanitary Engineering Division, Vol. 92, No. SA5, 1966, p. 61.
• [24] R.M.W. Horner, C.R. Ison, Theory of water filtration, Journal of the Sanitary Engineering Division, April, SA2, 1965, p 67.
• [25] R.I. Mackie, Q. Zhao, A framework for modelling removal in the filtration of polydisperse suspensions, maszynopis, 1997.
• [26] CH. Tien, A.C. Payatakes, Advances in deep bed filtration, AIChE J., Vol. 25, No. 5, 1979, p. 737.
• [27] T.R Camp, Theory of water filtration, Journal of the Sanitary Engineering Division, Vol. 90, No. SA4, 1964, p. 1.
• [28] W. Dąbrowski, Hydraulic properties of deposit in coarse sand filters, Archives of hydroengineering, Vol. XL, No. 1-2, 1993, p. 136.
• [29] A. Trzaska, New kinetics equations of the colmatage process and their applications, Archiwum Górnictwa, Tom XVII, z. 4, 1972, s. 361.
• [30] Hsu-Wen Chian g, Chi Tien, Dynamics of deep bed filtration - part II, AIChE J., Vol. 31, No. 8, 1985, p. 1360.
• [31] Hsu-Wen Chian g, Transient behaviour of deep bed filtration, PhD thesis., Syracuse University, 1983.
• [32] J.L Darby, R.E. Attansio, D.F. Lawler, Filtration of heterodisperse suspensions: modelling of particle removal and head loss, Water Research, Vol. 26, No. 6, 1992, p. 711.
• [33] A.K. Deb, Theory of sand filtration, Journal of the Sanitary Engineering Division, Vol. 95, No. SA3, 1969, p. 399.
• [34] K.J. Ives, The significance of theory, J. Inst. Water Engineers, Vol. 25, 1971, p. 13.
• [35] S.M. Kau, D.F. Lawler, Dynamics of deep bed filtration: velocity, depth and media, Journal of Environmental Engineering, Vol. 121, No. 12, 1995, p. 850.
• [36] R.I. Mackie, R.M.W. Horner, R.I. Jaryis, Dynamic modelling of deep bed filtration, AIChEJ, Vol. 33, No. 11, 1987, p. 1761.
• [37] V. Mackrle, L 'etude du phenomene d'adherence, Colmatage dans le milieu poreux, Thesis University Grenoble, France, 1960.
• [38] A.A. Mehter, Filtration in deep beds of granular activated carbon M.S. thesis, Syracuse University, 1970.
• [39] L.E. Robinson, Factors affecting the penetration of turbid matters into rapid sand filters, PhD dissertation, London University, England, 1961.
• [40] S. Vigneswaren, B. Aim, The influence of suspended particle size distribution in deep bed filtration, AIChEJ, Vol. 131, 1985, p. 321.
• [41] S. Sembi, Optimisation of size graded filters, PhD thesis, University of London, London, England, 1981.
• [42] K.J. Ives, Mathematical models of deep bed filtration, The Scientific Basis of filtration - NATO Advanced Study Institute Series, Noordhoff - Leyden 1975, p. 203.
• [43] K.J. Ives, Theory of filtration. Proceeding of the international Water Supply Association, Eighth Congress, Vienna, 1969, No. 1, K1-K28.
• [44] K.J. Ives, Theory of filtration, Special Subjecy No. 7, international Water Supply Congress, I.W.S.A., London 1969.
• [45] S.S. Mohanka, Theory of multilayer filtration, Jorurnal of the Sanitary Engineering Division, Vol. 95, No. SA6, 1969, p. 1079.
• [46] D.M. Mints, Kinetics of the filtration of low concentration suspension through water filters, Dokl. Akad. Nauk S.S.S.R, nr 2(78), 1951, p. 315.
• [47] K.J. Ives, Advances in deep bed filtration, Transt. Instn. Chem. Endrs, Vol. 48, 1970, p. 94.
• [48] K.J. Ives, Simplified rational analysis of filter behavior, Proc. Inst. Civil Engrs, Vol. 25, 1963, p. 345.
• [49] K.J. Ives, Theory of water filtration, Journal of the Sanitary Engineering Division, Vol. 91, No. SA1, 1965, p. 92.
• [50] V. Mackrle, O. Dracka, J. Svec, Hydrodynamics of the disposal of low level liquid radioactive wastes in soil, Internat'l Atomic Energy Contract Report No. 98, 1965.
• [51] A. Maraoudas, P. Eisenklam, Clarification of suspensions: a study of particle deposition in granular media, Part II- a theory of clarification, Chemical Engineering Science, Vol. 20, 1965, p. 875.
• [52] J.M. Shekhtman, Filtracia małokoncentrorirowannych suspenzii, Izd. Akad. Nauk. S.S.S.R., Moskwa 1961.
• [53] C. Tien, Granular filtration of aerosols and hydrosols, Butterworths, Boston 1989.
• [54] R.I. Mackie, R. Bai, The role of particle size distribution in the performance and modelling of filtration, Water Science Technology, Vol. 27, No. 10, 1993, p. 19.
• [55] J.P. Herzig, D.M. LecIerc, P. Le Goff, Flow of suspension through porous media, Ind. Engng. Chem., Vol. 62, No. 5, 1970, p. 8.
• [56] L.T. Fan, S.H. Hwang, An experimental study of deep bed filtration: stochastic analysis, Powder Technology, Vol. 44, 1985, p. 11.
• [57] D.M. Mints, Modern theory of filtration, Special Report No. 10, Internal Water Supply Congress, Barcelona 1966.
• [58] J.L. Darby, D.F. LawIer, Ripening in depth filtration: effect of particle size on removal and head loss., Environmental Science Engineering, Vol. 24, No. 7, 1990, p. 1069.
• [59] H.B. Dharmappa., J. Verink, O. Fujiwara, S. Vigneswaren, Optimization of granular bed filtration treating polydispersed suspension., Water Research, Vol. 26, No. 10, 1992, p. 1307.
• [60] R.I. Mackie, R. Bai, Suspended particle size distribution in the performance and modelling of filtration, Water Research, Vol. 26, No. 12, 1992, p. 1571.
• [61] S. Vigneswaren, J.S. Chang, J.G. Janssens, Experimental investigation of size distribution of suspended particles in granular bed filtration, Water Research, Vol. 24, No. 7, 1990, p. 927.
• [62] J. Bodziony, J. Litwiniszyn, Mathematical approach to the phenomenon of colmatage of an n-fractional suspension of particles., Vol. 10, No. 1, 1962, p. 43.
• [63] J. Litwiniszyn, The phenomenon of colmatage, Archiwum mechaniki stosowanej, nr 4(18), 1966, s. 479.
• [64] J. Litwiniszyn, W. Kraj, Probabilistic model of colmatage and scouring phenomena, Bulletin de L'academie Polonaise des Sciences. Vol. 16, No. 9, 1968, p. 443.
• [65] J. Litwiniszyn, Colmatage-scouring kinetics in the light of stochastic birth-death process, Bulletin de L'academie Polonaise des Sciences, Vol. 14, No. 9, 1966, p. 561.
• [66] J. Litwiniszyn, On a certain Markov Model of colmatage-scouring phenomena, Bulletin de L'academie Polonaise des Sciences, Vol. 16, No. 11-12, 1968, p. 533.
• [67] J. Litwiniszyn, On a certain Markov Model of colmatage-scouring phenomena. II, Bulletin de L'academie Polonaise des Sciences, Vol. 17, No. 1, 1968, p. 57.
• [68] L.T. Fan, S.H. Hwang, S.T. Chou, R. Nassar, Birth-death modeling of deep bed filtration: sectional analysis, Chem. Eng. Commun., Vol. 35, 1985, p. 101.
• [69] L.T. Fan, R. Nassar, S.H. Hwang, Analysis of deep bed filtration data: modeling as a birth-death process, AICHE J., Vol. 31, No. 11, 1985, p. 1781.
• [70] A. Saatci, A stochastic model of attachment and detachment in fixed beds, Third World Filtration Congress, Downingtown, Pennsylvania 1982, USA.
• [71] T. Mulder, R. Gimbel, Application of permeable collectors in deep bed filtration, Separations Technology, Vol. 1, 1991, p. 153.
• [72] C. Tien, R.M. Turian, Simulation of the dynamic behavior of deep bed filters, AIChE J., Vol. 25, No. 3, 1979, p. 385.
• [73] J.Y.C. Huang, F. Garcia-Maura, Effect of influent property on filter performance, J. Env. Eng., Vol. 112, 1986, p. 701.
• [74] K.J. Ives, A new concept of filterability, Prog. Wat. Tech., Vol. 10, No. 5/6, 1978, p. 123.

Uwagi

Artykuł sfinansowano z grantu badawczego KBN nr 3 T09C 058 18.