Articles & Issues
- Language
- English
- Conflict of Interest
- In relation to this article, we declare that there is no conflict of interest.
- Publication history
-
Received September 29, 2005
Accepted November 14, 2005
- This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright © KIChE. All rights reserved.
All issues
Estimation of drag force acting on spheres by slow flow and its application to a microfluidic device
Research Park, LG Chem, Ltd., Science Town, Daejeon 305-380, Korea
Korean Journal of Chemical Engineering, March 2006, 23(2), 176-181(6), 10.1007/BF02705712
Download PDF
Abstract
The present study deals with the problem of determining drag force acting on spherical particles by slow flow through the particles in random arrays. Effective-medium theories using simplified models such as EM-I, EM-II, EM-III, and EM-IV are presented to predict the drag on the spheres in random arrays. These predictions are compared with numerical simulations. The EM-IV model in which the volume exclusion effect near the representative sphere is taken into account in defining the effective-medium is found to compare very well with the numerical simulations up to the volume fraction of spheres φ=0.5. In addition, Carman's correlation is given for comparison. This empirical correlation is shown to be in good agreement with the simulation results beyond φ=0.4. Therefore, it is found that selective use of EM-IV and Carman's correlation depending on φ is practically the best way to obtain accurate predictions of the drag for full range of φ. Finally, the estimations are compared with the previous experimental results for the gas pressure drop across a micropacked bed reactor. The comparison shows a reasonable agreement between the experimental results and the estimations by Carman's correlation.
References
Acrivos A, Chang EY, Phys. Fluids, 29, 3 (1986)
Ajmera SK, Losey MW, Jensen KF, Schmidt MA, AIChE J., 47(7), 1639 (2001)
Bossis G, Brady JF, J. Chem. Phys., 80, 5141 (1984)
Brady JF, Bossis G, Annu. Rev. Fluid Mech., 20, 111 (1988)
Carman PC, Trans. Inst. Chem. Eng., 15, 150 (1937)
Choi MJ, Kim JS, Kim HK, Lee SB, Kang Y, Lee KW, Korean J. Chem. Eng., 18(5), 646 (2001)
Chong JS, Christiansen EB, Baer AD, J. Appl. Polym. Sci., 15, 2007 (1971)
Dodd TL, Hammer DA, Sangani AS, Koch DL, J. Fluid Mech., 293, 147 (1995)
Durlofsky L, Brady JF, Bossis G, J. Fluid Mech., 180, 21 (1987)
Ehrfeld W, Hessel V, Lowe H, Microreactors, Wiley-VCH, Weinheim (2000)
Ergun S, Chem. Eng. Prog., 48, 93 (1952)
Ganatos P, Pfeffer R, Weinbaum S, J. Fluid Mech., 84, 79 (1978)
Hashin Z, J. Appl. Mech., 50, 481 (1983)
Hill R, J. Mech. Phys. Solids, 13, 213 (1965)
Jensen KF, AIChE J., 45, 2051 (2001)
Song KH, Koo S, J. Ind. Eng. Chem., 12(3), 368 (2006)
Koo S, Sangani AS, J. Fluid Mech., 484, 255 (2003)
Kusakabe K, Morooka S, Maeda H, Korean J. Chem. Eng., 18(3), 271 (2001)
Ladd AJC, J. Chem. Phys., 88, 5051 (1988)
Ladd AJC, J. Chem. Phys., 93, 3484 (1990)
Losey MW, Schmidt MA, Jensen KF, Ind. Eng. Chem. Res., 40(12), 2555 (2001)
Mazur P, Saarloos WV, Physica A, 115, 21 (1982)
Mo G, Sangani AS, Phys. Fluids, 6, 1637 (1994)
Percus JK, Yevick GJ, Phys. Rev., 110, 1 (1958)
Sangani AS, Yao C, Phys. Fluids, 31, 2435 (1988)
Sotowa KI, Miyoshi R, Lee CG, Kang Y, Kusakabe K, Korean J. Chem. Eng., 22(4), 552 (2005)
Wang J, Jiang DM, Baeg JO, Lee CW, J. Ind. Eng. Chem., 10(3), 454 (2004)
Ajmera SK, Losey MW, Jensen KF, Schmidt MA, AIChE J., 47(7), 1639 (2001)
Bossis G, Brady JF, J. Chem. Phys., 80, 5141 (1984)
Brady JF, Bossis G, Annu. Rev. Fluid Mech., 20, 111 (1988)
Carman PC, Trans. Inst. Chem. Eng., 15, 150 (1937)
Choi MJ, Kim JS, Kim HK, Lee SB, Kang Y, Lee KW, Korean J. Chem. Eng., 18(5), 646 (2001)
Chong JS, Christiansen EB, Baer AD, J. Appl. Polym. Sci., 15, 2007 (1971)
Dodd TL, Hammer DA, Sangani AS, Koch DL, J. Fluid Mech., 293, 147 (1995)
Durlofsky L, Brady JF, Bossis G, J. Fluid Mech., 180, 21 (1987)
Ehrfeld W, Hessel V, Lowe H, Microreactors, Wiley-VCH, Weinheim (2000)
Ergun S, Chem. Eng. Prog., 48, 93 (1952)
Ganatos P, Pfeffer R, Weinbaum S, J. Fluid Mech., 84, 79 (1978)
Hashin Z, J. Appl. Mech., 50, 481 (1983)
Hill R, J. Mech. Phys. Solids, 13, 213 (1965)
Jensen KF, AIChE J., 45, 2051 (2001)
Song KH, Koo S, J. Ind. Eng. Chem., 12(3), 368 (2006)
Koo S, Sangani AS, J. Fluid Mech., 484, 255 (2003)
Kusakabe K, Morooka S, Maeda H, Korean J. Chem. Eng., 18(3), 271 (2001)
Ladd AJC, J. Chem. Phys., 88, 5051 (1988)
Ladd AJC, J. Chem. Phys., 93, 3484 (1990)
Losey MW, Schmidt MA, Jensen KF, Ind. Eng. Chem. Res., 40(12), 2555 (2001)
Mazur P, Saarloos WV, Physica A, 115, 21 (1982)
Mo G, Sangani AS, Phys. Fluids, 6, 1637 (1994)
Percus JK, Yevick GJ, Phys. Rev., 110, 1 (1958)
Sangani AS, Yao C, Phys. Fluids, 31, 2435 (1988)
Sotowa KI, Miyoshi R, Lee CG, Kang Y, Kusakabe K, Korean J. Chem. Eng., 22(4), 552 (2005)
Wang J, Jiang DM, Baeg JO, Lee CW, J. Ind. Eng. Chem., 10(3), 454 (2004)