Drop break-up and coalescence in a stirred tank

• Autorzy: Podgórska W. , Bałdyga J.
• Języki publikacji: EN

Abstrakty

EN

It is shown in the paper that drop size distribution in liquid-liquid dispersions is affected by both the fine-scale and the large-scale inhomogeneity of turbulence. Fine-scale inhomogeneity is related to the phenomenon of local intermittency and described using a multifractal formalism. Large-scale inhomogeneity is related to inhomogeneous distributions of the locally averaged properties of turbulence, including the rate of energy dissipation and the integral scale of turbulence. Large-scale distributions of the properties of turbulence in a stirred tank are considered with a network of well-mixed zones. CFD methods are used to compute the properties of turbulence in these zones. A model taking into account inhomogeneity of both types explains the effect of the system's scale on drop size; it predicts smaller maximum stable drop sizes than the classic Kolmogorov theory of turbulence. The model predictions agree well with experimental data.

Słowa kluczowe

EN

CFD; intermittence; large-scale inhomogeneity; small-scale inhomogeneity

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2003
• Tom: Vol. 7, No 3
• Strony: 409--424
• Opis fizyczny: Bibliogr. 34 poz., rys.

Twórcy

autor

Podgórska W.

• Department of Chemical and Process Engineering, Warsaw University of Technology, Waryńskiego 1, 00-645 Warsaw, Poland

autor

Bałdyga J.

• Department of Chemical and Process Engineering, Warsaw University of Technology, Waryńskiego 1, 00-645 Warsaw, Poland

• Department of Chemical and Process Engineering, Warsaw University of Technology, Waryńskiego 1, 00-645 Warsaw, Poland,

Bibliografia

• [1] Kolmogorov A N 1949 Doklady Akademii Nauk SSSR 66825 (in Russian)
• [2] Hinze J O 1955 AIChE Journal1289
• [3] Kolmogorov A N 1941 Doklady Akademii Nauk SSSR 30299 (in Russian)
• [4] Coulaloglou C A and Tavlarides L L 1977 Chem. Engng. Sci.321289
• [5] Tsouris C and Tavlarides L L 1994 AIChE Journal 40395
• [6] Svendsen H F and Luo H 1996 Canadian J. Chem. Engng.74321
• [7] Alopaeus V, Koskinen J and Keskinen K J 1999 Chem. Engng. Sci.545887
• [8] Konno M, Aoki M and Saito S 1983 J. Chem. Engng. Japan16312
• [9] Kuriyama M, Ono M, Tokanai H and Konno H 1996 Trans. Inst. Chem. Engng.A 74431
• [10] Lam A, Sathyagal AN, Kumar S and Ramkrishna D 1996 AIChE Journal 421547
• [11] Konno M and Saito S 1987J. Chem. Engng. Japan 20533
• [12] Bałdyga J and Bourne J R 1995 Chem. Engng. Sci.50381
• [13] Bałdyga J, Podgórska W, Zawada D and Żuławnik D 1998 Proc. XVI Polish Conf. Chemicaland Process Engineering, Cracow, Poland, vol.4, pp. 8–11
• [14] Bałdyga J, Bourne J R, Pacek A W, Amanullah A and Nienow A W 2001 Chem. Engng. Sci.563377
• [15] Pacek A W, Chamsart S, Nienow A W and Bakker A 1999 Chem. Engng. Sci.544211
• [16] Meneveau C and Sreenivasan K R 1991 J. Fluid Mech.224429
• [17] Batchelor G K and Townsend A A 1949 Proc. R. Soc.A 199238
• [18] Frisch U, Sulem P L and Nelkin M 1978 J. Fluid Mech.87719
• [19] Frisch U and Parisi G 1985 Turbulence and predictability in geophysical fluid dynamicsand climate dynamics(Ghil M, Benzi R and Parisi G, Eds.), Amsterdam, North-Holland,pp. 84–88
• [20] Chhabra A and Jensen R 1989 Phys. Rev. Lett. 621327
• [21] Meneveau C and Sreenivasan K R 1987 Nuclear Phys.B 249
• [22] Kolmogorov A N 1962J. Fluid Mech.1382
• [23] Obukhov A M 1962 J. Fluid Mech.1377
• [24] Bałdyga J and Podgórska W 1998 Canadian J. Chem. Engng.76456
• [25] She Z S and Leveque E 1994 Phys. Rev. Lett. 72336
• [26] Bałdyga J and Bourne J R 1993 J. Chem. Engng. Japan 26738
• [27] Podgórska W and Bałdyga J 2000 Proc. 10th European Conf. Mixing, Delft, The Netherlands,Amsterdam, Elsevier, pp. 141–148
• [28] Podgórska W and Bałdyga J 2001 Chem. Engng. Sci.56741
• [29] Ross S L 1971 Measurements and Models of the Dispersed Phase Mixing Process, PhD Thesis,University of Michigan, Ann Arbor
• [30] Chesters A K 1991 Trans. Inst. Chem. Engng.A 69259
• [31] Okamoto Y, Nishikawa M and Hashimoto K 1981 Int. Chem. Engng. 2188
• [32] Sato Y, Kamiwano M and Yamamoto K 1970 Kagaku Kogaku 34104
• [33] Bourne J R and Yu S 1994 Ind. Engng. Chem. Res. 3341
• [34] Konno M, Muto T and Saito S 1988 J. Chem. Engng. Japan 21335