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http://dx.doi.org/10.3795/KSME-B.2015.39.1.079

Numerical Investigation of Mixing Characteristics in Cavity Flow at Various Aspect Ratios  

Shin, Myung Seob (School of Mechanical Engineering, Dongyang Mirae Univ.)
Yang, Seung Deok (Dept. of Mechanical Engineering, Hanyang Univ.)
Yoon, Joon Yong (Dept. of Mechanical Engineering, Hanyang Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.39, no.1, 2015 , pp. 79-88 More about this Journal
Abstract
This study numerically examined the mixing characteristics of rectangular cavity flows by using the hybrid lattice Boltzmann method (HLBM) applied to the finite difference method (FDM). Multi-relaxation time was used along with a passive scalar method which assumes that two substances have the same mass and that there is no interaction. First, we studied numerical results such as the stream function, position of vortices, and velocity profile for a square cavity and rectangular cavity with an aspect ratio of 2. The data were compared with previous numerical results that have been proven to be reliable. We also studied the mixing characteristics of a rectangular cavity flow such as the concentration profile and average Sherwood number at various Pe numbers and aspect ratios.
Keywords
Hybrid Lattice Boltzmann Method; Rectangular cavity flow; Mixing characteristics;
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Times Cited By KSCI : 3  (Citation Analysis)
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1 Shankar, P. N. and Deshpande, M. D., 2000, "Fluid Mechanics in the Driven Cavity," Annual Review of Fluid Mechanics, Vol. 32, pp. 93-136.   DOI   ScienceOn
2 Burggraf, O. R., 1966, "Analytical and Numerical Studies of the Structure of Steady Separated Flows," Journal of Fluid Mechanics, Vol. 24, pp. 113-151.   DOI
3 Pan, F. and Acrivos, A., 1967, "Steady Flows in Rectangular Cavities," Journal of Fluid Mechanics, Vol. 28, pp. 643-655.   DOI
4 Ghia, U., Ghia, K. N. and Shin, C. T., 1982, "High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method," Journal of Computational Physics, Vol. 48, pp. 387-411.   DOI   ScienceOn
5 Mehta, U. B. and Lavan Z., 1969, "Flow in a Two-Dimensional Channel With a Rectangular Cavity," Journal of Applied Mechanics, Vol. 36, pp. 897-901.   DOI
6 Shen, C. and Floryan, J. M., 1985, "Low Reynolds Number Flow Over Cavities," Physics of Fluids, Vol. 28, pp. 3191-3202   DOI
7 Alkire, R. C., Deligianni, H. and Ju, J. B., 1990, "Effect of Fluid Flow on Convective Transport in Small Cavities," Journal of the Electrochemical Society, Vol. 139, pp. 2845-2855.
8 Occhialini, J. M. and Higdon, J. J. L., 1992, "Convective Mass Transport from Rectangular Cavities in Viscous Flow," Journal of the Electrochemical Society, Vol. 139, pp. 2845-2855.   DOI
9 Trevelyan, P. M. J., Kalliadasis, S., Merkin, J. H. and Scott, S. K., 2001, "Circulation and Reaction Enhancement of Mass Transport in a Cavity," Chemical Engineering Science, Vol. 56, pp. 5177-5188.   DOI   ScienceOn
10 Shin., M. S., Jeon, S. Y. and Yoon, J. Y., 2013, "Numerical Investigation of Mixing Characteristics in a Cavity Flow by Using Hybrid Lattice Boltzmann Method," Trans. Korean Soc. Mech. Eng. B, Vol. 37, No. 7, pp. 683-693.   과학기술학회마을   DOI   ScienceOn
11 Shan, X., 1997, "Simulation of Rayleigh-Benard Convection Using a Lattice Boltzmann Method," Physical Review E, Vol. 55, pp. 2780-2788.
12 Shin, M. S., Byun, S. J. and Yoon, J. Y., 2010, "Numerical Investigation of Effect of Surface Roughness in a Microchannel," Trans. Korean Soc. Mech. Eng. B, Vol. 34, No. 5, pp. 539-546.   과학기술학회마을   DOI   ScienceOn
13 Shin, M. S., Byun, S. J., Kim, J. H. and Yoon, J. Y., 2011, "Numerical Investigation of Pollutant Dispersion in a Turbulent Boundary Layer by Using Lattice Boltzmann-Subgrid Model," Trans. Korean Soc. Mech. Eng. B, Vol. 35, No. 2, pp. 169-178.   과학기술학회마을   DOI   ScienceOn
14 Chen, S. and Doolen, G. D., 1998, "Lattice Boltzmann Method for Fluid Flows," Annual Review of Fluid Mechanics, Vol. 30, pp. 329-364.   DOI   ScienceOn
15 Lallemand, P. and Luo, L. S., 2003, "Hybrid Finite-Difference Thermal Lattice Boltzmann Equation," International Journal of Medern Physics, Vol. 17, pp 41-47.
16 McNamara, G. and Alder, B., 1993, "Analysis of the Lattice Boltzmann Treatment of Hydrodynamics," Physica A, Vol. 194, pp. 218-228.   DOI   ScienceOn
17 Bhatnagar, P. L., Gross, E. P. and Krook, M., 1954, "A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems," Physical Review, Vol. 94, No. 5, pp. 511-525.   DOI
18 Lallemand, P. and Luo, L. S., 2000, "Theory of the Lattice Boltzmann method: Dispersion, Dissipation, Isotropy, Galilean Invariance, and Stability," Physical Review E, Vol. 61, pp. 6546-6562.   DOI   ScienceOn
19 d'Humieres, D., 1992, "Generalized Lattice Boltzmann Equation," in Rarefied Gas Dynamics: Theory and Simulations, ed. by Shizgal, D, and Weaver, D.P, Progress in Astronautics and Aeronautics, Vol. 159, AIAA, Washington DC, pp. 450-458.
20 Bruneau, C. H. and Jouron, C., 1990, "An Efficient Scheme for Solving Steady Incompressible Navier-Stokes Equations," Journal of Computational physics, Vol. 89, pp. 389-413.   DOI   ScienceOn
21 Treek, C. V., Rank, E., Krafczyk, M., Tolke, J. and Nachtwey, B., 2006, "Extension of a Hybrid Thermal LBE Scheme for Large-eddy Simulations of Turbulent Convective Flow," Computers & Fluids, Vol. 35, pp. 863-871.   DOI   ScienceOn
22 Hou, S., Zou, Q., Chen, S., Doolen, G. and Cogley, A. C., 1995, "Simulation of Cavity Flow by Lattice Boltzmann Method," Journal of Computational Physics, Vol. 118, pp. 329-347.   DOI   ScienceOn
23 Gupta, M. M. and Kalita, J. C., 2005, "A New Paradigm for Solving Navier-Stokes Equations: Streamfunction-velocity Formulation," Journal of Computational physics, Vol. 207, pp. 52-68.   DOI   ScienceOn
24 Antonini, G., Gelus, M., Guiffant, G. and Zoulalian, A., 1981, "Simultaneous Momentum and Mass Transfer Characteristics in Surface-Driven Recirculating Flows," International Journal of Heat and Mass Transfer, Vol. 24, pp. 1313-1323.   DOI   ScienceOn