화학공학소재연구정보센터
Korea-Australia Rheology Journal, Vol.28, No.2, 129-137, May, 2016
Flow of a Casson fluid through a locally-constricted porous channel: a numerical study
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Flow of a Casson fluid through a two-dimensional porous channel containing a local constriction is numerically investigated assuming that the resistance offered by the porous medium obeys the Darcy's law. Treating the constriction as another porous medium which obeys the Darcy-Forcheimer model, the equations governing fluid flow in the main channel and the constriction itself are numerically solved using the finitevolume method (FVM) based on the pseudo-transient SIMPLE algorithm. It is shown that an increase in the porosity of the channel decreases the shear stress exerted on the constriction. On the other hand, an increase in the fluid's yield stress is predicted to increase the maximum shear stress experienced by the constriction near its crest. The porosity of the constriction itself is predicted to have a negligible effect on the plaque's shear stress. But, the momentum of the weak flow passing through the constriction is argued to lower the bulk fluid from separating downstream of the constriction.
  1. Al-Roubaie S, Jahnsen ED, Mohammed M, Henderson-Toth C, Jones EAV, Am. J. Physiol.-Heart Circul. Physiol., 301, H2473 (2011)
  2. Alimohamadi H, Sadeghy K, Nihon Reoroji Gakkaishi, 43, 135 (2015)
  3. Alimohamadi H, 2014, Simulating Blood Flow in Stenoed Artery under the Influence of External Magnetic Field, MSc Thesis, University of Tehran.
  4. Anderson HI, Halden R, Glomsaker T, J. Biomech., 33, 1257 (2000)
  5. Bear J, 1972, Dynamics of Fluids in Porous Media, American Elsevier, New York.
  6. Bryan J, Pharm. J., 293, 200656 (2014)
  7. Buchanan JR, Kleinstreuer C, Comer JK, Comput. Fluids, 29, 695 (2000)
  8. Chakravarty S, Int. J. Eng. Sci., 25, 1003 (1987)
  9. Charm S, Kurland G, Nature, 206, 617 (1965)
  10. Charm S, Kurland GS, Am. J. Physiol., 203, 417 (1962)
  11. Charm SE, McComis W, Kurland G, J. Appl. Physiol., 19, 127 (1964)
  12. Cho YI, Kensey KR, Biorheology, 28, 241 (1991)
  13. Dash RK, Mehta KN, Jayaraman G, Int. J. Eng. Sci., 34, 1145 (1996)
  14. Deshpande MD, Giddens DP, Mabon RF, J. Biomech., 9, 165 (1976)
  15. El-Shahed M, Appl. Math. Comput., 138, 479 (2003)
  16. Giddens DP, Zarins CK, Glagov S, J. Biomech. Eng. -Trans. ASME, 115, 588 (1993)
  17. Hebbel RP, Leung A, Mohandas N, Blood, 76, 1015 (1990)
  18. Huang H, Seymour BR, Comput. Fluids, 24, 153 (1995)
  19. Hunt R, Int. J. Numer. Methods Eng., 11, 247 (1990)
  20. Karageorghis A, Phillips TN, IMA J. Numer. Anal., 11, 33 (1991)
  21. Khakpour M, Vafai K, Int. J. Heat Mass Transf., 51(3-4), 807 (2008)
  22. Ku DN, Annu. Rev. Fluid Mech., 29, 399 (1970)
  23. Layek GC, Midya C, Commun. Nonlinear Sci. Numer. Simul., 12, 745 (2007)
  24. Lee JS, Fung YC, J. Appl. Mech.-Trans. ASME, 37, 9 (1970)
  25. Lee TS, J. Fluids Eng.-Trans. ASME, 116, 66 (1994)
  26. Macosko CW, 1994, Rheology: Principles, Measurements and Applications, 1st Ed., VCH, New York.
  27. Mandal PK, Int. J. Non-Linear Mech., 40, 151 (2005)
  28. Merril EW, Physiol. Rev., 49, 863 (888)
  29. Mustapha N, Mandal PK, Johnston PR, Amin N, Appl. Math. Model., 34, 1559 (2010)
  30. Neren RM, J. Biomech. Eng. -Trans. ASME, 114, 274 (282)
  31. Panagiotis N, Drikakis D, Int. J. Numer. Methods Eng., 43, 597 (2003)
  32. Papanastasiou TC, J. Rheol., 31, 385 (1987)
  33. Ramesh K, Devakar M, Ain Shams Eng. J., 6, 967 (2015)
  34. Simmonds MJ, Meiselman HJ, Baskurt OK, J. Geriatr. Cardiol., 10, 291 (2013)
  35. Solzbach U, Wollschlager H, Zeiher A, Just H, Med. Biol. Eng. Comput., 25, 543 (1987)
  36. Stroud JS, Berger SA, Saloner D, J. Biomech., 33, 443 (2000)
  37. Venkatesan J, Sankar DS, Hemalatha K, Yatim Y, J. Appl. Math., 2013, 583809 (2013)
  38. Walburn FJ, Schneck DJ, Biorheology, 13, 201 (1976)
  39. Wei HH, Waters SL, Liu SQ, Grotberg JB, J. Fluid Mech., 492, 23 (2003)
  40. Whale MD, Grodzinsky AJ, Johnson M, Biorheology, 33, 17 (1996)
  41. Young DF, J. Biomech. Eng. -Trans. ASME, 101, 157 (1979)