Lattice Boltzmann Study of Nonlinear Characteristics of Double Diffusive Mixed Convection in an Enclosure

Abstract

Abstract: Lattice Boltzmann method is adopted to numerically analyze nonlinear characteristics of double diffusive mixed convection in an enclosure. A heated cylinder is located at center of the enclosure. Fluid flows from an inlet at lower-left wall of enclosure and an outlet is at upper-right,upper-middle and upper-left wall respectively. Simulation results indicate that there are steady stationary solution,periodic and aperiodic oscillatory solutions in double diffusive mixed convection at different parameters. Phase path of velocity of monitoring point finally reaches a point,a closed loop and irregular curves,respectively.

Key words: enclosure, lattice Boltzmann, double diffusive mixed convection, nonlinear characteristics

CLC Number:

TK124

LI Beibei, WANG Tingting, CHEN Jian, XU Hongtao, YANG Mo. Lattice Boltzmann Study of Nonlinear Characteristics of Double Diffusive Mixed Convection in an Enclosure[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(2): 156-162.

References

[1] ANGIRASA D. Mixed convection in a vented enclosure with an isothermal vertical surface[J]. Fluid Dynamics Reserch, 2000, 26:219-223.
[2] PRASAD Y S,DAS M K. Hopf bifurcation in mixed convection flow inside a rectangular cavity[J]. International Journal of Heat and Mass Transfer,2007, 50:3583-3598.
[3] ZHAO M,YANG M,LU M. Numerical study of mixed convection in a rectangular cavity with top supplying air[J]. Journal of University of Shanghai for Science and Technology,2006, 28(6):543-546.
[4] KANG D H,HA M Y,YOON H S,CHOI C. Bifurcation to unsteady natural convection in square enclosure with a circular cylinder at Rayleigh number of 10⁷[J]. International Journal of Heat and Mass Transfer,2013, 64:926-944.
[5] YANG M. Numerical calculation of unsteady natural convection in cylindrical enclosure with internal slotted cylinder[J]. Journal of Harbin Institute of Technology,1999, 31:59-62.
[6] ANUPINDI K,LAI W C,FRANKE S. Characterization of oscillatory instability in lid driven cavity flows using lattice Boltzmann method[J]. Computers & Fluids, 2014, 92:7-21.
[7] LI S L,HUANG W C,CHAO A L. Multi relaxation time lattice Boltzmann simulations of transition in deep 2D lid driven cavity using GPU[J]. Computers & Fluids, 2013, 80:381-387.
[8] BIAN N J,YANG M,LI L,ZHANG Y W. Simulation and nonlinear analysis for Rayleigh-Benard convection with the lattice Boltzmann method[J]. Journal of Engineering Thermophysics,2012,4(33):685-688.
[9] GRAY D D,GIORGIN A. The validity of the boussinesq approximation for liquids and gases[J]. International Journal of Heat and Mass Transfer,1976,19:545-551.
[10] GUO Z L,SHI B C,ZHENG C G. A coupled lattice BGK model for the Boussinesq equations[J]. International Journal for Numerical Methods in Fluids,2002,39:325-342.
[11] GUO Z L,LI Q,ZHENG C G. Lattice Boltzmann simulation of double diffusive natural convection[J]. Chinese Journal of Computational Physics, 2002, 19(6):483-487.
[12] BOUZIDI M,FIRDAOUSS M,LALLEMAND P J. Momentum transfer of a Boltzmann-lattice fluid with boundaries[J]. Physics of Fluids[J], 2001, 13(11):3452-3459.
[13] GUO Z L,ZHENG C G,SHI B C. Non-equilibrium extrapolation method for velocity and boundary conditions in the lattice Boltzmann method[J]. Chinese Physics, 2002, 11(4):0366-0374.
[14] XU H T,XIAO R X,KARIMI F,YANG M,ZHANG Y W. Numerical study of double diffusive mixed convection around a heated cylinder in an enclosure[J]. International Journal of Thermal Sciences,2014,78:169-181.
[15] LI B B,SUN W K,LV H,XIAO R X,XU H T,YANG M. The Study of oscillating characteristic of double diffusive mixed convection in an enclosure[J]. Journal of Engineering Thermophysics, 2015, 36(4):874-878.
[16] KANTZ H,SCHREIBER T. Nonlinear time series analysis[M]. 2nd ed. United Kingdom:Cambridge University Press, 2004.