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
oundary-lattice Boltzmann method is used to study the flow of powerlaw
luid through an infinite array of circular cylinders with cylinder separations
f 20a (a is the cylinder radius) with laminar shedding behind cylinders. Time
veraged drag coefficient, maximum of lift coefficient and Strouhal number are
iven out with the power-law index in the range of 0.4 ≤ n ≤ 1.8 and Re in the
ange of 50 ≤ Re ≤ 140.
Dates
- Submission Date2012-08-01
- Revision Date2012-09-01
- Acceptance Date2012-09-12
References
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- Qian, Y. H., d'Humieres, Lallemand, D. P., Lattice BGK Models for Navier-Stokes Equation, Europhysics Letters, 17 (1992), 6, pp. 479-484
- Chen, S., Doolen, G. D., Lattice Boltzmann Method for Fluid Flows, Annual Review of Fluid Mechanics, 30 (1998), 329-364
- 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
- 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
- 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
- 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
- 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
- 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
Volume
16,
Issue
5,
Pages1451 -1455