화학공학소재연구정보센터
Korea-Australia Rheology Journal, Vol.21, No.3, 161-173, September, 2009
Analysis of conventional drag and lift models for multiphase CFD modeling of blood flow
E-mail:
This study analyzes especially drag and lift models recently developed for fluid-solid, fluid-fluid or liquidliquid two-phase flows to understand their applicability on the computational fluid dynamics, CFD modeling of pulsatile blood flow. Virtual mass effect and the effect of red blood cells, RBCs aggregation on CFD modeling of blood flow are also shortly reviewed to recognize future tendencies in this field. Recent studies on two-phase flows are found as very useful to develop more powerful drag-lift models that reflect the effects of blood cell’s shape, deformation, concentration, and aggregation.
  1. Al-Taweel AM, Madhavan S, Podila K, Koksal M, Troshko A, Gupta YP, CFD Simulation of Multiphase Flow: Closure Recommendations for Fluid-Fluid Systems, 12th European Conference on Mixing, Bologna, Italy, June 27-30 (2006)
  2. Augier F, Masbernat O, Guiraud P, AIChE J., 49(9), 2300 (2003)
  3. Auton TR, J. Fluid Mech., 183, 199 (1987)
  4. Auton TR, The dynamics of bubbles, drops and particles in motion in liquids, PhD Dissertation, University of Cambridge. (1984)
  5. Asmolov ES, McLaughlin JB, Int. J. Multiph. Flow, 25(4), 739 (1999)
  6. Bagchi P, Balachandar S, Phys. Fluids, 14, 2719 (2002)
  7. Bagchi P, Balachandar S, J. Fluid Mech., 473, 379 (2002)
  8. Barnea E, Mizrahi J, Can. J. Chem. Eng., 53, 461 (1975)
  9. Baskurt OK, Meiselman HJ, Indian J. Exp. Biol., 45, 25 (2007)
  10. Baumler H, Neu B, Donath E, Kiesewetter H, Biorheology, 36, 439 (1999)
  11. Behzadi A, Issa RI, Rusche H, Chem. Eng. Sci., 59(4), 759 (2004)
  12. Bothe D, Schmidtke M, Warnecke HJ, Chem. Eng. Technol., 29(9), 1048 (2006)
  13. Buchanan JR, Kleinstreuer C, Comer JK, Comput. Fluid., 29, 695 (2000)
  14. Buchanan JR, Kleinstreuer C, Hyun S, Truskey GA, J. Biomech., 36, 1185 (2003)
  15. Candelier F, Angilella JR, Phys. Rev. E, 73, 047301 (2006)
  16. Candelier F, Souhar M, Phys. Rev. E, 76, 067301 (2007)
  17. Carpinlioglu MO, Gundogdu MY, Flow. Meas. and Instrum., 12, 163 (2001)
  18. Chakravarty S, Sen S, Korea-Aust. Rheol. J., 17(2), 47 (2005)
  19. Cousins RR, J. Fluid Mech., 40, 543 (1970)
  20. Dandy DS, Dwyer HA, J. Fluid Mech., 216, 381 (1990)
  21. Darwin C, Cambiridge Phil. Trans., 49, 342 (1953)
  22. De Gruttola S, Boomsma K, Poulikakos D, Artif. Organs, 29, 949 (2005)
  23. De Vries AWG, Biesheuvel A, van Wijngaarden L, Intl. J. of Multiphase Flow, 28, 1823 (2002)
  24. Drew D, Lahey RT, Intl J. Multiphase Flow, 5, 243 (1979)
  25. Drew D, Lahey RT, Intl J. Multiphase Flow, 13, 113 (1987)
  26. Drew D, Lahey RT, Intl J. Multiphase Flow, 16, 1127 (1990)
  27. Drew D, Lahey RT, Analytical modeling of multiphase flow, Particulate Two-Phase Flow, Butterworth-Heinemann, Boston, 509-566. (1993)
  28. Ervin EA, Tryggvason G, The rise of bubbles in a vertical shear flow, In: Proceedings of the ASME Winter Meeting, Fluids Engineering Div., Chicago. (1994)
  29. Fischer TM, Stohr-Liesen M, Schmid-Schonbein H, Science, 202, 894 (1978)
  30. Fluent User’s Guide, ver. 6.3.26, Fluent Inc. (2006)
  31. Fung YC, Biomechanics: Mechanical Properties of Living Tissues, Second Edition, Springer-Verlag, New York. (1993)
  32. Goldsmith HL, Bell DN, Spain S, McIntosh FA, Biorheology, 36, 461 (1999)
  33. Gundogdu MY, Carpinlioglu MO, JSME Int. J., 42, 384 (1999)
  34. Gundogdu MY, Carpinlioglu MO, JSME Int. J., 42, 398 (1999)
  35. Guyton AC, Hall JE, Textbook of Medical Physiology, Eleventh Edition, Elsevier Saunders. (2006)
  36. Hall IM, J. Fluid Mech., 1, 142 (1956)
  37. Hibiki T, Ishii M, Int. J. Heat Mass Transf., 42(16), 3019 (1999)
  38. Hibiki T, Ishii M, Xiao Z, Int. J. Heat Mass Transf., 44(10), 1869 (2001)
  39. Hibiki T, Situ R, Mi Y, Ishii M, Int. J. Heat Mass Transf., 46(8), 1479 (2003)
  40. Hibiki T, Ishii M, Chem. Eng. Sci., 62(22), 6457 (2007)
  41. Hyun S, Kleinstreuer C, Archie Jr. JP, Med. Eng. Phys., 22, 13 (2000)
  42. Hyun S, Kleinstreuer C, Archie JP, Crit. Rev. Biomed. Eng., 28, 53 (2000)
  43. Hyun S, Kleinstreuer C, Archie Jr. JP, Comput. Biol. Med., 31, 365 (2001)
  44. Ishii M, Chawla TC, Local drag laws in dispersed two-phase flow, Argonne National Laboratory Report, ANL-79-105 (NUREG/CR-1230). (1979)
  45. Ishii M, Zuber N, AIChE J., 25, 843 (1979)
  46. Ishii M, Hibiki T, Thermo-fluid Dynamics of Twophase Flow, Springer, New York. (2006)
  47. Jung J, Hassanein A, Med. Eng. Phys., 30, 91 (2008)
  48. Jung J, Lyczkowski RW, Panchal CB, Hassanein A, J. of Biomech., 39, 2064 (2006)
  49. Jung J, Hassanein A, Lyczkowski RW, Ann. Biomed. Eng., 34, 393 (2006)
  50. Kariyasaki A, Behavior of a single gas bubble in a liquid flow with a linear velocity profile. Proceedings of the 1987 ASME/JSME Thermal Engineering Conference, 261-267. (1987)
  51. Klaseboer E, Chavaillier JP, Mate A, Masbernat O, Gourdon C, Phys. Fluids, 13, 45 (2001)
  52. Kleinstreuer C, Biofluid Dynamics: Principles and Selected Applications, CRC Pres. (2006)
  53. Komori S, Kurose R, The effects of shear and spin on particle lift and drag in shear flow at high Reynolds numbers, Advances in Turbulence VI, (ed. Gavrilakis S, Machiels L. Monkewitz P), Kluwer, 551-554. (1996)
  54. Kulkami AA, Chem. Eng. Sci., 63(6), 1710 (2008)
  55. Kumar A, Hartland S, Can. J. Chem. Eng., 63, 368 (1985)
  56. Kurose R, Komori S, J. Fluid Mech., 384, 183 (1999)
  57. Legendre D, Magnaudet J, Physics of Fluids, 9, 3572 (1997)
  58. Legendre D, Magnaudet J, J. Fluid Mech., 368, 81 (1998)
  59. Levich VG, Physicochemical Hydrodynamics, Prentice-Hall, New York. (1962)
  60. Lighthill MJ, J. Fluid Mech., 1, 31 (1956)
  61. Liu TJ, Intl J. of Heat and Mass Transfer, 19, 99 (1993)
  62. Longest PW, Kleinstreuer C, J. Biomech., 36, 421 (2003)
  63. Longest PW, Kleinstreuer C, Buchanan JR, Comput. Fluid., 33, 577 (2004)
  64. Longest PW, Kleinstreuer C, Deanda A, Ann. Biomed. Eng., 33, 1752 (2005)
  65. McLaughlin JB, J. Fluid Mech., 224, 261 (1991)
  66. McLaughlin JB, J. Fluid Mech., 246, 249 (1993)
  67. Mei R, Lawrence CJ, Adrian RJ, J. Fluid Mech., 233, 613 (1991)
  68. Meiselman HJ, Neu B, Rampling MW, Baskurt OK, Indian J. Exp. Biol., 45, 9 (2007)
  69. Miyazaki K, Bedeaux D, Bonet Avalos J, J. Fluid Mech., 296, 373 (1995)
  70. Morsi SA, Alexander AJ, J. Fluid Mech., 55, 193 (1972)
  71. Myint W, Hosokawa S, Tomiyama A, Journal of Fluid Science and Technology, 1, 72 (2006)
  72. Naciri MA, Contribution a l'etude des forces exercees par un liquide sur une bulle de gaz: portance, masse ajoutee et interactions hydrodynamiques, Ph.D. Thesis, L’ecole Centrale de Lyon, France. (1992)
  73. Ookawara S, Street D, Ogawa K, Practical application to micro-separator/classifier of the Euler-granular model, In: International Conference on Multiphase Flow 2004, Yokohama, Japan. (2004)
  74. Ookawara S, Street D, Ogawa K, Quantitative prediction of separation efficiency of a micro-separator/classifier by Euler-granular model, In: A.I.Ch.E. 2005 Spring National model, In: A.I.Ch.E. 2005 Spring National (2005)
  75. Ookawara S, Street D, Ogawa K, Chem. Eng. Sci., 61(11), 3714 (2006)
  76. Ookawara S, Agrawal M, Street D, Ogawa K, Chem. Eng. Sci., 62(9), 2454 (2007)
  77. Rampling MW, Meiselman HJ, Neu B, Baskurt OK, Biorheology, 41, 91 (2004)
  78. Rusche H, Issa RI, The effect of voidage on the drag force on particles in dispersed two-phase flow, Japanese European Two-Phase Flow Meeting, Tsukuba, Japan. (2000)
  79. Saffman PG, J. Fluid Mech., 22, 385 (1965)
  80. Saffman PG, J. Fluid Mech., 31, 624 (1968)
  81. Segre G, Silberberg A, J. Fluid Mech., 14, 115 (1962)
  82. Segre G, Silberberg A, J. Fluid Mech., 14, 136 (1962)
  83. Schiller L, Naumann Z, Z. Ver. Deutsch. Ing., 77, 318 (1935)
  84. Schmid-Schonbein H, Wells R, Science, 165, 288 (1969)
  85. Shew WL, Poncet S, Pinton JF, J. Fluid Mech., 569, 51 (2006)
  86. Shin S, Yang Y, Suh JS, Clini.l Hemorheo. and Microcirc., 41, 197 (2009)
  87. Soulis JV, Giannoglou GD, Papaioannou V, Parcharidis GE, Louridas GE, Biomedical Engineering On Line, 7, 26 (2008)
  88. Srivastava VP, Srivastava R, Computers and Mathematics with Applications, 58, 227 (2009)
  89. Steinman DA, Ann. Biomed. Eng., 30, 483 (2002)
  90. Steinman DA, Taylor CA, Ann. Biomed. Eng., 33, 1704 (2005)
  91. Stijnen JMA, de Hart J, Bovendeerd PHM, van de Vosse FN, J. Fluid. Struct., 19, 835 (2004)
  92. Sankaranarayanan K, Sundaresan S, Chem. Eng. Sci., 57(17), 3521 (2002)
  93. Takagi S, Matsumoto Y, Three dimensional calculation of a rising bubble. In: Proceedings of the Second International Conference on Multiphase Flow, Kyoto. (1995)
  94. Tees DFJ, Coenen O, Goldsmith HL, Biophys. J., 65, 1318 (1993)
  95. Tha SP, Goldsmith HL, Biophys. J., 50, 1109 (1986)
  96. Tha SP, Goldsmith HL, Biophys. J., 53, 677 (1988)
  97. Tomiyama A, Tamai H, Zun I, Hosokawa S, Chem. Eng. Sci., 57(11), 1849 (2002)
  98. Tomiyama A, Drag, lift and virtual mass forces acting on a single bubble, Proceedings of the Third International Symposium on Two-phase Flow Modeling and Experimentation, Pisa, Italy, 22-24. (2004)
  99. Wakaba L, Balachandar S, Int. J. Multiphase Flow, 31, 996 (2005)
  100. Wallis GB, Int. J. Multiphase Flow, 1, 491 (1974)
  101. Wen C, Yu Y, Chem. Eng. Prog. Symp. Ser., 62, 100 (1966)
  102. Yilmaz F, Gundogdu MY, Korea-Aust. Rheol. J., 20(4), 197 (2008)
  103. Zeng L, Najjar F, Blachandar S, Fischer P, Phys. Fluids, 21, 033302 (2009)
  104. Zhu C, J. of Biomech., 33, 23 (2000)
  105. Zhang DZ, Prosperetti A, J.Fluid Mech., 267, 185 (1994)
  106. Zun I, Transition from wall void peaking to core void peaking in turbulent bubbly flow, Transient Phenomena in Multiphase Flow, Hemisphere, Washington, 225-245. (1988)