Numerical simulations of elliptic particle suspensions in sliding bi-periodic frames

Hee Taeg Chung; Shin Hyun Kang; Wook Ryol Hwang

Korea-Australia Rheology Journal, Vol.17, No.4, 171-180, December, 2005

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Numerical simulations of elliptic particle suspensions in sliding bi-periodic frames

Hee Taeg Chung, Shin Hyun Kang, and Wook Ryol Hwang^†

School of Mechanical and Aerospace Engineering, Engineering Research Institute, Gyeongsang National University, Gajwa-dong 900, Jinju 660-701, Korea

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We present numerical results for inertialess elliptic particle suspensions in a Newtonian fluid subject to simple shear flow, using the sliding bi-periodic frame concept of Hwang et al. (2004) such that a particulate system with a small number of particles could represent a suspension system containing a large number of particles. We report the motion and configurational change of elliptic particles in simple shear flow and discuss the inter-relationship with the bulk shear stress behaviors through several example problems of a single, two-interacting and ten particle problems in a sliding bi-periodic frame. The main objective is to check the feasibility of the direct simulation method for understanding the relationship between the microstructural evolution and the bulk material behaviors.

Keywords:direct numerical simulation;elliptic particle suspension;sliding bi-periodic frame;bulk stress;elliptic integral of the second kind

[References]

Fan XJ, Phan-Thien N, Zheng R, J. Non-Newton. Fluid Mech., 74(1-3), 113 (1998)
Glowinski R, Pan TW, Hesla TI, Joseph DD, Int. J. Multiph. Flow, 25(5), 755 (1999)
Hildebrand FB, Advanced Calculus for Applications, Prentice-Hall, New Jersey. (1976)
Hwang WR, Hulsen MA, Meijer HEH, J. Comput. Phys., 194, 742 (2004)
Hwang WR, Hulsen MA, Meijer HEH, J. Non-Newton. Fluid Mech., 121(1), 15 (2004)
Hwang WR, Hulsen MA, Meijer HEH, Kwon TH, Direct numerical simulations of suspensions of spherical particles in a viscoelastic fluid in sliding tri-peri-odic domains, in Proceedings of the XIVth International Congress on Rheology, Seoul, Korea, August 22-27, CR 10.1-CR10.3 (2004)
Larson RG, The structure and rheology of complex fluids, Oxford University Press. (1999)
Lees AW, Edwards SF, J. Phys. C: Solid State Phys., 5, 1921 (1972)
Peskin CS, J. Comput. Phys., 10, 252 (1972)
Rahnama M, Koch DL, Shaqfeh ESG, Phys. Fluids, 2, 2093 (1995)
YAMANE Y, KANEDA Y, DIO M, J. Non-Newton. Fluid Mech., 54, 405 (1994)

[Referenced By]

[1] Fan XJ, Phan-Thien N, Zheng R, J. Non-Newton. Fluid Mech., 74(1-3), 113 (1998)

[2] Glowinski R, Pan TW, Hesla TI, Joseph DD, Int. J. Multiph. Flow, 25(5), 755 (1999)

[3] Hildebrand FB, Advanced Calculus for Applications, Prentice-Hall, New Jersey. (1976)

[4] Hwang WR, Hulsen MA, Meijer HEH, J. Comput. Phys., 194, 742 (2004)

[5] Hwang WR, Hulsen MA, Meijer HEH, J. Non-Newton. Fluid Mech., 121(1), 15 (2004)

[6] Hwang WR, Hulsen MA, Meijer HEH, Kwon TH, Direct numerical simulations of suspensions of spherical particles in a viscoelastic fluid in sliding tri-peri-odic domains, in Proceedings of the XIVth International Congress on Rheology, Seoul, Korea, August 22-27, CR 10.1-CR10.3 (2004)

[7] Larson RG, The structure and rheology of complex fluids, Oxford University Press. (1999)

[8] Lees AW, Edwards SF, J. Phys. C: Solid State Phys., 5, 1921 (1972)

[9] Peskin CS, J. Comput. Phys., 10, 252 (1972)

[10] Rahnama M, Koch DL, Shaqfeh ESG, Phys. Fluids, 2, 2093 (1995)

[11] YAMANE Y, KANEDA Y, DIO M, J. Non-Newton. Fluid Mech., 54, 405 (1994)