Oscillating Characteristics of Double Diffusive Natural Convection With Soret and Dufour Effects in Square Cavities

LOU Qin; LUO Zhuqing; WANG Jun; XU Hongtao; CHEN Jian

doi:10.21656/1000-0887.380121

Volume 39 Issue 2

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2018 > 39(2): 147-159

LOU Qin, LUO Zhuqing, WANG Jun, XU Hongtao, CHEN Jian. Oscillating Characteristics of Double Diffusive Natural Convection With Soret and Dufour Effects in Square Cavities[J]. Applied Mathematics and Mechanics, 2018, 39(2): 147-159. doi: 10.21656/1000-0887.380121

Citation:

PDF( 6690 KB)

Oscillating Characteristics of Double Diffusive Natural Convection With Soret and Dufour Effects in Square Cavities

doi: 10.21656/1000-0887.380121

School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, P.R.China

Funds: The National Natural Science Foundation of China（51406120）

Received Date: 2017-05-04
Rev Recd Date: 2017-12-20
Publish Date: 2018-02-15

Abstract

Abstract

The lattice Boltzmann method was adopted to study the oscillating characteristics of double diffusive natural convection in square cavities with Soret and Dufour effects. The inner heating cylinder with high concentration was located at the center of the cavity and the 4 surrounding walls were assumed to be at low concentrations and temperatures. The impacts of buoyancy ratio B_r(2.0≤B_r≤10.0), Soret number S_r(-0.6≤S_r≤0.0) and Dufour number D_f(-0.6≤D_f≤0.0) on the oscillating characteristics in the cavity were analyzed with the time history method and the power spectrum method. The results show that the flow state is steady at S_r=0.0 and D_f=0.0. With decreasing S_rand D_f from 0.0 to -0.6, the state of double diffusive natural convection turns into the periodic state and in turn the aperiodic oscillatory state gradually. Moreover, the positive buoyancy ratio enhances the oscillating characteristics.
- Soret and Dufour effects,
- square cavity,
- double diffusive natural convection,
- oscillating characteristic,
- lattice Boltzmann method

FullText(HTML)

References(24)

References

[1]	SUKOP M C, THORNE D T J. Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers [M]. Berlin: Springer, 2007.
[2]	CHEN Li, KANG Qinjun, MU Yutong, et al. A critical review of the pseudopotential multiphase lattice Boltzmann model: methods and applications[J]. International Journal of Heat & Mass Transfer,2014,76(6): 210-236.
[3]	CHEN S, DOOLEN G D. Lattice Boltzmann method for fluid flows[J]. Annual Review of Fluid Mechanics,2012,30(1): 329-364.
[4]	OSTRACH S. Natural convection with combined driving forces[J]. Physico Chemical Hydrodynamics,1980,1(4): 233-247.
[5]	ALAO F I, FAGBADE A I, FALODUN B O. Effects of thermal radiation, Soret and Dufour on an unsteady heat and mass transfer flow of a chemically reacting fluid past a semi-infinite vertical plate with viscous dissipation[J]. Journal of the Nigerian Mathematical Society, 2016,35(1): 142-158.
[6]	SERRANO-ARELLANO J, GIJN-RIVERA M, RIESCO-VILA J M, et al. Numerical study of the double diffusive convection phenomena in a closed cavity with internal CO₂ point sources[J].International Journal of Heat and Mass Transfer,2014,71: 664-674.
[7]	RAMAN S V V, INIYAN S, GOIC R. A review of solar drying technologies[J]. Renewable and Sustainable Energy Reviews,2012,16(5): 2652-2670.
[8]	郑建城, 杨茉, 黄夫泉, 等. 封闭圆内开缝圆自然对流的非线性特性研究[J]. 工程热物理学报, 2012,33(2): 308-310.(ZHENG Jiancheng, YANG Mo, HUANG Fuquan, et al. Study of nonlinear characteristics of natural convection in cylindrical enclosure with internal slotted cylinder[J]. Journal of Engineering Thermophysice,2012,33(2): 308-310.(in Chinese))
[9]	李贝贝, 孙文科, 吕浩, 等. 方腔内双扩散混合对流振荡特性研究[J]. 工程热物理学报, 2015,36(4): 874-878.(LI Beibei, SUN Wenke, L Hao, et al. The study of oscillating characteristics of double diffusive mixed convection in an enclosure[J].Journal of Engineering Thermophysice,2015,36(4): 874-878.(in Chinese))
[10]	李贝贝, 王婷婷, 陈建, 等. 方腔内双扩散混合对流非线性格子Boltzmann研究[J]. 计算物理, 2016,33(2): 156-162.(LI Beibei, WANG Tingting, CHEN Jian, et al. 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.(in Chinese))
[11]	ANUPINDI K, LAI W, FRANKEL S. Characterization of oscillatory instability in lid driven cavity flows using lattice Boltzmann method[J]. Computers and Fluids, 2014,92: 7-21.
[12]	乌玛法什 J C, 刘 I C, 库玛 J P, 等. 粘性流体间夹有多孔介质时的非定常流动及其热传导[J]. 应用数学和力学, 2010,31(12): 1415-1434.(UMAVATHI J C, LIU I C, KUMAR J P, et al. Unsteady flow and heat transfer of porous media sandwiched between viscous fluids[J]. Applied Mathematics and Mechanics,2010,31(12): 1415-1434.(in Chinese))
[13]	MONDAL S, SIBANDA P. Effects of buoyancy ratio on unsteady double-diffusive natural convection in a cavity filled with porous medium with non-uniform boundary conditions[J]. International Journal of Heat and Mass Transfer, 2015,85: 401-413.
[14]	艾欧德特 M Q, 艾格汗迪 A. 竖直平板嵌入非Darcy多孔介质时, 数值研究流过平板的不稳定MHD自然对流中的Dufour和Soret效应[J]. 应用数学和力学, 2012,33(2): 195-210.(AL-ODAT M Q, AL-GHAMDI A. Numerical investigation of Dufour and Soret effects on unsteady MHD natural convection flow past vertical plate embedded in non-Darcy porous medium[J]. Applied Mathematics and Mechanics,2012,33(2): 195-210.(in Chinese))
[15]	GAIKWAD S N, MALASHETTY M S, PRASAD K R. An analytical study of linear and nonlinear double diffusive convection in a fluid saturated anisotropic porous layer with Soret effect[J]. Applied Mathematical Modelling,2009,33(9): 3617-3635.
[16]	ALTAWALLBEH A A, BHADAURIA B S, HASHIM I. Linear and nonlinear double-diffusive convection in a saturated anisotropic porous layer with Soret effect and internal heat source[J]. International Journal of Heat and Mass Transfer, 2013,59: 103-111.
[17]	WANG Jin, YANG Mo, ZHANG Yuwen. Onset of double-diffusive convection in horizontal cavity with Soret and Dufour effects[J]. International Journal of Heat and Mass Transfer,2014,78: 1023-1031.
[18]	WANG Jin, YANG Mo, HE Yaling, et al. Oscillatory double-diffusive convection in a horizontal cavity with Soret and Dufour effects[J]. International Journal of Thermal Sciences,2016,106: 57-69.
[19]	GUO Zhaoli, SHI Baochang, ZHENG Chuguang. A coupled lattice BGK model for the Boussinesq equations[J]. International Journal for Numerical Methods in Fluids,2002,39(4): 325-342.
[20]	GUO Zhaoli, SHI Baochang, WANG Nengchao. Lattice BGK model for incompressible Navier-Stokes equation[J]. Journal of Computational Physics, 2000,165(1): 288-306.
[21]	YU Xiaomei, GUO Zhaoli, SHI Baochang. Numerical study of cross diffusion effects on double diffusive convection with lattice Boltzmann method[C]//ICCS 2007: Computational Science. Vol4487, 2007: 810-817.
[22]	GUO Zhaoli, ZHENG Chuguang, SHI Baochang. Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method[J]. Chinese Physics,2002,11(4): 366-374.
[23]	BOUZIDI M, FIRDAOUSS M, LALLEMAND P. Momentum transfer of a Boltzmann-lattice fluid with boundaries[J]. Physics of Fluids,2001,13(11): 3452-3459.
[24]	REN Q, CHAN C L. Numerical study of double-diffusive convection in a vertical cavity with Soret and Dufour effects by lattice Boltzmann method on GPU[J]. International Journal of Heat and Mass Transfer,2016,93: 538-553.