Numerical Simulations and Kinetic Theory of Bubbly Liquids Rheology Under Microgravity

Sang-Yoon Kang; Ashok A. Sangani

Korean Journal of Chemical Engineering, Vol.19, No.3, 363-370, May, 2002

DOI10.1007/BF02697141 Export Citation

Numerical Simulations and Kinetic Theory of Bubbly Liquids Rheology Under Microgravity

Sang-Yoon Kang^†, and Ashok A. Sangani¹

Department of Chemical Engineering, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea
¹Department of Chemical Engineering and Material Science, Syracuse University, Syracuse, NY 13244, USA

E-mail:

Simple shear flows of dilute suspensions of spherical bubbles at large Reynolds numbers are studied by using numerical simulations and kinetic theory. It is shown that the mean-square bubble velocity is very sensitive to the volume fraction and Reynolds number of the bubbles as well as on initial conditions. The balance of energy contained in bubble velocity fluctuations plays an important role in the rheology of the dispersed phase, which is generally non-Newtonian.

Keywords:Bubbly Liquids;Simulation;Soft Core Potential;Runge-Kutta Algorithm;Kinetic Theory

[References]

Auton TR, Hunt JCR, Prud'homme M, J. Fluid Mech., 197, 241 (1988)
Bando Y, Kuze T, Sugimoto T, Yasuda K, Nakamura M, Korean J. Chem. Eng., 17(5), 597 (2000)
Biesheuvel A, "Structure and Stability of Void Waves in Bubbly Flows," in Waves in Liquid/Gas and Liquid/Vapor Two-Phase Systems (ed. S. Morioka and L. van Wijngaarden), Proc. IUTAM Sympos., Tokyo, Japan, 1, 1994 (Kluwer Academic) (1995)
Biesheuvel A, Gorissen WC, Int. J. Multiph. Flow, 16, 211 (1990)
Biesheuvel A, van Wijnggaarden L, J. Fluid Mech., 148, 301 (1984)
Bulthuis HF, Prosperetti A, Sangani AS, J. Fluid Mech., 294, 1 (1995)
Chapman S, Cowling TG, "The Mathematical Theory of Non-Uniform Gases," 3rd Edn., Cambridge University Press (1970)
Grad H, Commun. Pure Appl. Math., 2, 331 (1949)
Hasimoto H, J. Fluid Mech., 5, 317 (1959)
Kim SJ, Cho YJ, Lee CG, Kang Y, Kim SD, Korean J. Chem. Eng., 19(1), 175 (2002)
Kumaran V, Tao HK, Koch DL, Int. J. Multiph. Flow, 19, 665 (1993)
Ladd AJC, J. Chem. Phys., 93, 3484 (1990)
Lessard RR, Zieminski SA, Ind. Eng. Chem. Fundam., 10, 260 (1971)
Sangani AS, Didwania AK, J. Fluid Mech., 248, 27 (1993)
Sangani AS, Didwania AK, J. Fluid Mech., 250, 307 (1993)
Sangani AS, Zhang DZ, Prosperetti A, Phys. Fluids A, 3, 2955 (1991)
Smereka P, J. Fluid Mech., 254, 79 (1993)
Tsao HL, Koch DL, Phys. Fluids, 6, 2591 (1994)
Zhang DZ, Prosperetti A, J. Fluid Mech., 267, 185 (1994)

[Referenced By]

[1] Auton TR, Hunt JCR, Prud'homme M, J. Fluid Mech., 197, 241 (1988)

[2] Bando Y, Kuze T, Sugimoto T, Yasuda K, Nakamura M, Korean J. Chem. Eng., 17(5), 597 (2000)

[3] Biesheuvel A, "Structure and Stability of Void Waves in Bubbly Flows," in Waves in Liquid/Gas and Liquid/Vapor Two-Phase Systems (ed. S. Morioka and L. van Wijngaarden), Proc. IUTAM Sympos., Tokyo, Japan, 1, 1994 (Kluwer Academic) (1995)

[4] Biesheuvel A, Gorissen WC, Int. J. Multiph. Flow, 16, 211 (1990)

[5] Biesheuvel A, van Wijnggaarden L, J. Fluid Mech., 148, 301 (1984)

[6] Bulthuis HF, Prosperetti A, Sangani AS, J. Fluid Mech., 294, 1 (1995)

[7] Chapman S, Cowling TG, "The Mathematical Theory of Non-Uniform Gases," 3rd Edn., Cambridge University Press (1970)

[8] Grad H, Commun. Pure Appl. Math., 2, 331 (1949)

[9] Hasimoto H, J. Fluid Mech., 5, 317 (1959)

[10] Kim SJ, Cho YJ, Lee CG, Kang Y, Kim SD, Korean J. Chem. Eng., 19(1), 175 (2002)

[11] Kumaran V, Tao HK, Koch DL, Int. J. Multiph. Flow, 19, 665 (1993)

[12] Ladd AJC, J. Chem. Phys., 93, 3484 (1990)

[13] Lessard RR, Zieminski SA, Ind. Eng. Chem. Fundam., 10, 260 (1971)

[14] Sangani AS, Didwania AK, J. Fluid Mech., 248, 27 (1993)

[15] Sangani AS, Didwania AK, J. Fluid Mech., 250, 307 (1993)

[16] Sangani AS, Zhang DZ, Prosperetti A, Phys. Fluids A, 3, 2955 (1991)

[17] Smereka P, J. Fluid Mech., 254, 79 (1993)

[18] Tsao HL, Koch DL, Phys. Fluids, 6, 2591 (1994)

[19] Zhang DZ, Prosperetti A, J. Fluid Mech., 267, 185 (1994)