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STUDY ON FLOW OF POWER-LAW FLUID THROUGH AN INFINITE ARRAY OF CIRCULAR CYLINDERS WITH IMMERSED BOUNDARY-LATTICE BOLTZMANN METHOD

ABSTRACT

A direct forcing method for the simulation of particulate flows based on immersed boundary-lattice Boltzmann method is used to study the flow of power-law fluid through an infinite array of circular cylinders with cylinder separations of 20a (a is the cylinder radius) with laminar shedding behind cylinders. Time averaged drag coefficient, maximum of lift coefficient and Strouhal number are given out with the power-law index in the range of 0.4 ≤ n ≤ 1.8 and Re in the range of 50 ≤ Re ≤ 140.

KEYWORDS

flow of power-law fluid, lattice Boltzmann equation, immersed boundary method, direct forcing method, laminar shedding

PAPER SUBMITTED: 2012-08-01

PAPER REVISED: 2012-09-01

PAPER ACCEPTED: 2012-09-12

DOI REFERENCE: https://doi.org/10.2298/TSCI1205451W

CITATION EXPORT: view in browser or download as text file

THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE No. 5, PAGES [1451 - 1455]

REFERENCES

[1] Lin, J. Z., Zhang, W. F., Yu, Z. S., Numerical Research on the Orientation Distribution of Fibers Immersed in Laminar and Turbulent Pipe Flows, J. of Aerosol Science, 35 (2004), 1, pp. 63-82, 10.1016/s0021-8502(03)00388-4

[2] Lin, J. Z., Shi, X., Yu, Z. S., The Motion of Fibers in an Evolving Mixing Layer, International Journal of Multiphase flow, 29 (2003), 8, pp. 1355-1372, 10.1016/s0301-9322(03)00086-7

[3] Guo, X. H., et al., Flow Past Two Rotating Circular Cylinders in a Side-by-Side Arrangement, Journal of Hydrodynamics, 21 (2009), 2, pp. 143-151, 10.1016/s1001-6058(08)60131-6

[4] Guo, X. H., Lin, J. Z., Nie, D. M., New Formula for the Drag Coefficient of Cylindrical Particles, Particuology, 9 (2011), 2, pp. 114-120

[5] Patnana, V. K., Bharti, R. P., Chhabra, R. P., Two-Dimensional Unsteady Flow of Power-law Fluids over a Cylinder, Chemical Engineering Science, 64 (2009), 12, pp. 2978-2999, 10.1016/j.ces.2009.03.029

[6] Sivakumar, P., Bharti, R. P., Chhabra, R. P., Effect of Power-Law Index on Critical Parameters for Power-law Fluid Flow Across an Unconfined Circular Cylinder, Chemical Engineering Science, 61 (2006), 18, pp. 6035-6046, 10.1016/j.ces.2006.05.031

[7] Shibu, S., Chhabra, R. P., Eswaran, V., Power Law Fluid Flow over a Bundle of Cylinders at Intermediate Reynolds Numbers, Chemical Engineering Science, 56 (2001), 19, pp. 5545-5554, 10.1016/s0009-2509(01)00161-0

[8] Vijaysri, M., Chhabra, R. P., Eswaran, V., Power-law Fluid Flow across an Array of Infinite Circular Cylinders: a Numerical Study, Journal of Non-Newtonian Fluid Mechanics, 87 (1999), 2-3, pp. 263-282, 10.1016/s0377-0257(99)00067-1

[9] Huang, P. Y., Feng, J., Wall Effects on the Flow of Viscoelastic Fluids Around a Circular Cylinder, Journal of Non-Newtonian Fluid Mechanics, 60 (1995), 2-3, pp. 179-198, 10.1016/0377-0257(95)01394-2

[10] Ayaz, F., Pedley, T. J., Flow through and Particle Interception by an Infinite Array of Closely-Spaced Circular Cylinders, European Journal of Mechanics B/Fluids, 18 (1999), 2, pp. 173-196, 10.1016/s0997-7546(99)80021-1

[11] Qian, Y. H., d'Humieres, Lallemand, D. P., Lattice BGK Models for Navier-Stokes Equation, Europhysics Letters, 17 (1992), 6, pp. 479-484, 10.1209/0295-5075/17/6/001

[12] Chen, S., Doolen, G. D., Lattice Boltzmann Method for Fluid Flows, Annual Review of Fluid Mechanics, 30 (1998), 329-364, 10.1146/annurev.fluid.30.1.329

[13] Lin, J. Z., Shi X., You, Z. J., Effects of the Aspect Ratio on the Sedimentation of a Fiber in Newtonian Fluids, Journal of Aerosol Science, 34 (2003), 7, pp. 909-921, 10.1016/s0021-8502(03)00039-9

[14] Shi, X., Lin, J. Z., Yu, Z. S., Discontinuous Galerkin Spectral Element Lattice Boltzmann Method on Triangular Element, International Journal for Numerical Methods in Fluids, 42 (2003), 11, pp. 1249- 1261, 10.1002/fld.594

[15] Ku, X. K., Lin, J. Z., Numerical Simulation of the Flows over Two Tandem Cylinders by Lattice Boltzmann Method, Modern Physics Letter B, 19 (2005), 28-29, pp. 1551-1554, 10.1142/s0217984905009882

[16] Lin, J. Z., Ku, X. K., Fiber Orientation Distributions in a Suspension Flow through a Parallel Plate Channel Containing a Cylinder, Journal of Composite Materials, 43 (2009), 12, pp. 1373-1390, 10.1177/0021998308105424

[17] Ku, X. K., Lin, J. Z., Inertial Effects on the Rotational Motion of a Fiber in Simple Shear Flow Between Two Bounding Walls, Physica Scripta, 80 (2009), 2, pp. 025801, 10.1088/0031-8949/80/02/025801

[18] Feng, Z. G., Michaelides, E. E., Proteus: a Direct Forcing Method in the Simulations of Particulate Flows, Journal of Computational Physics, 202 (2005), 1, pp. 20-51, 10.1016/j.jcp.2004.06.020

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Study on flow of power-law fluid through an infinite array of circular cylinders with immersed boundary-lattice Boltzmann method

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence

THERMAL SCIENCE

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Ye-Long Wang

Xue-Ming Shao

STUDY ON FLOW OF POWER-LAW FLUID THROUGH AN INFINITE ARRAY OF CIRCULAR CYLINDERS WITH IMMERSED BOUNDARY-LATTICE BOLTZMANN METHOD