Elastohydrodynamics of Concentrated Suspension with Generalized Newtonian Fluid Medium

Sang-Yoon Kang

Korean Journal of Chemical Engineering, Vol.19, No.3, 371-376, May, 2002

DOI10.1007/BF02697142 Export Citation

Elastohydrodynamics of Concentrated Suspension with Generalized Newtonian Fluid Medium

Sang-Yoon Kang^†

Department of Chemical Engineering, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea

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Lubrication theory is applied to compute the deformation of two approaching particles suspended in a Generalized Newtonian fluid with linear elastic theory estimating deformation and force on the particles with respect to deformability δ. The relative viscosity of concentrated suspension with deformable particles in a Generalized Newtonian fluid is obtained for a simple cubic array configuration by using the results of deformation and force for two particles. Since the deformation of particles generates the freedom of moving particles geometrically, the suspension with deformable particles shows shear thinning behavior.

Keywords:Lubrication Theory;Hertz Contact Theory;Deformability;Generalized Newtonian Fluid;Relative Viscosity

[References]

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[2] Abdou-Sabet S, Pudyak RC, Rader CP, Rubber Chem. Technol., 69, 476 (1996)

[3] Batchelor GK, J. Fluid Mech., 41, 545 (1970)

[4] Ball RC, Melrose JR, Europhys. Lett., 32, 535 (1995)

[5] Ball RC, Melrose JR, Physica A, 247, 444 (1997)

[6] Catherall AA, Melrose JR, Ball RC, J. Rheol., 44(1), 1 (2000)

[7] Christensen H, J. Lub. Tech., 92, 145 (1970)

[8] Davis RH, Serayssol J, Hinch EJ, J. Fluid Mech., 163, 479 (1986)

[9] Frankel NA, Acrivos A, Chem. Eng. Sci., 22, 847 (1967)

[10] Ha JW, Yang SM, J. Fluid Mech., 405, 131 (2000)

[11] Jarzebski GJ, Rheol. Acta, 20, 280 (1981)

[12] Kim SW, Chun YH, Korean J. Chem. Eng., 16(4), 511 (1999)

[13] Landau LD, Lifshitz EM, "Theory of Elasticity," 3rd ed. Pergamon Press, New York (1986)

[14] Lee JD, So JH, Yang SM, J. Rheol., 43(5), 1117 (1999)

[15] Loewenberg M, Hinch EJ, J. Fluid Mech., 321, 395 (1996)

[16] Moon DY, Kwon MH, Park OO, Korean J. Chem. Eng., 18(1), 33 (2001)

[17] Munstedt H, Polym. Eng. Sci., 21, 259 (1981)

[18] So JH, Yang SM, Hyun JC, Chem. Eng. Sci., 56(9), 2967 (2001)

[19] Tanaka N, White JL, J. Non-Newton. Fluid Mech., 7, 333 (1980)

[20] van den Brule BHAA, Jongschaap RJJ, J. Statistical Phys., 62, 1225 (1991)