Double Diffusive Convection in an Annular Vertical Cavity

doi:10.7523/j.issn.2095-6134.2005.2.005

Abstract

Abstract:

A numerical study is presented of the structure of double diffusive convection in an annual cavity with horizontal heat and mass gradients due to constant temperatures and concentrations along the vertical side-walls,respectively.The buoyancy ratio N =GrS GrT is equal to-1, where GrS and GrT are the solutal and thermal Grashof numbers, respectively.The structures of double diffusive convection in rectangular and annular cavity were compared.Numerical results are reported for the effect of the Le numbers on the thermal (solute)boundary layer and the average rate of heat (mass)transfer Nu(Sh).The results show that the thickness of solutal boundary layer decreases when the Lewis Number increases, but the thermal boundary is not significantly influenced when the Lewis number varies ;contrasting with the steady increase of the Sherwood number, the Nusselt number varies slowly when the Lewis number is higher than 10.

Key words: double diffusive convection, crystal growth, boundary layer, finite element method

CLC Number:

O551

SHI Ke-Feng, LU Wen-Qiang. Double Diffusive Convection in an Annular Vertical Cavity[J]. , 2005, 22(2): 152-156.

References

[1] Turner JS.Double-diffusive phenomena.Annu.Rev.Fluid Mech., 1974, 6 :37 ～ 56

[2] Zhang KC, Zhang LH.Science and Technology of Crystal Growth.(Second Edition).Beijing:Science Press, 1997.401 ～ 442(in Chinese)

[3] Murty VD.A finite element solution of double diffusive convection.Int.Comm.Heat Mass Transfer, 1988, 15(2):165 ～ 177

[4] Nishimura T, Wakamatsu M, Morega AM.Oscillatory double-diffusive convection in a rect angular enclosure with combined horizontal temperature and concentrationgradients.International Journal of Heat and Mass Transfer, 1998, 41(11):1601 ～ 1611

[5] Ghorayeb K, Khallouf H, Mojtabi A.Onset of oscil latory f lows in double-diffusive convection.International Journal of Heat and Mass Transfer,1999, 42(4):629～ 643

[6] Sundaravadivelu K, Kandaswamy P.Double diffusive nonlinear convection in a square cavity.Fluid DynamicsResearch, 2000, 27(5):291 ～ 303

[7] Bennacer R, Mohamad AA, Akrour D.Transient natural convection in an enclosure with horizontal temperature and verti cal solutal gradients.Int.J.Therm.Sci., 2001, 40(10):899 ～ 910

[8] Nishimura T, Imoto T, Miyashita H.Occurrence and development of double-diffusive convection during solidifi cation of binary system.InternationalJournal of Heat and Mass Transfer, 1994, 37(10):1455 ～ 1464

[9] Chen FL.Formation of double-diffusive layer in the directional solidification of binary solution.Journal of Crystal Growth,1997, 179(1-2):277 ～286

[10] Ghenai C, Mudunuri A, Lin CX, et al.Double-diffusive convection during solidificat ion of a metal analog system (NH4CL-H2O)in a differentiallyheated cavity.Experimental Thermal and Fluid Science, 2003, 28(1):23 ～ 35

[11] Marcoux M, Charrier-Mojtabi MC, Azaiez M.Double-diffusive convection in an annular vertical porous layer.International Journal of Heat and Mass Transfer, 1999, 42(13):2313～ 2325

[12] TaoWQ.Numerical Heat Transf er.Second Edition.Xi'an :Xi'an Jiaotong University Press, 2001.309 ～ 314(in Chinese)

[2] 张克从, 张乐主编.晶体生长科学与技术.上册.第二版, 北京:科学出版社, 1997.401 ～ 442

[12] 陶文铨编著.数值传热学.第二版.西安:西安交通大学出版社, 2001.309 ～ 314

[1]	REN Tianxiang, YANG Shaohua, DONG Peiyu, CHENG Huihong, SHI Yaolin. Numerical analysis of influence of water level fluctuation of Dadu River on Guzan borehole strain meter [J]. , 2018, 35(5): 674-680.
[2]	QU Wulin, ZHANG Bei, HUANG Luyuan, CHENG Huihong, ZHANG Huai, SHI Yaolin. Coulomb stresses induced by the 2004 Mw9.3 Sumatra earthquake [J]. , 2017, 34(1): 86-98.
[3]	JIANG Longteng, LIU Gui, SHI Yaolin. Calculations of rheological properties of multi-mineral foliated rocks using finite element method based on the rheological properties of minerals [J]. , 2016, 33(4): 513-518.
[4]	LI Zhencun, SHI Yaolin, ZHANG Zeyang, DONG Peiyu, YANG Shaohua . Calculation of thermal stress during the cooling of lava tubes [J]. , 2016, 33(3): 412-420.
[5]	ZHANG Bei, ZHANG Huai, SHI Yaolin. A discussion about how the deep moonquakes are triggered by tidal stress [J]. , 2016, 33(1): 82-88.
[6]	WANG Ya-Jun, ZHANG Wo-Hua. Viscous-plastic medium stochastic finite element method studies and application on levee reclamation work [J]. , 2009, 26(1): 132-140.
[7]	YIN Jun-Wei, CHEN Yu-Fu. MINRES and finite element method for singularly perturbed reaction diffusion equations [J]. , 2008, 26(6): 721-725.
[8]	SHI Ke-Feng, LU Wen-Qiang. Solute redistribution during the Bridgman growth of compound crystal [J]. , 2007, 24(2): 161-166.
[9]	ZHU Gui-Zhi, ZHANG Huai, SHI Yao-Lin. One 3D Finite Element Method of Mesh Generation for Earth [J]. , 2006, 23(5): 676-680.
[10]	GAN Yun-Hua, XU Jin-Liang. Experimental Investigation of Laminar Heat Transfer in Silicon Microchannels with New Structure [J]. , 2005, 22(2): 157-163.
[11]	Li Qian, Liu Hui-zhi, Hu Fei, Hong Zhong-xiang. Characteristic of the Urban Boundary Layer Under Strong Wind Condition in Beijing City [J]. , 2004, 21(1): 40-44.
[12]	Liu Yu, Hu Fei, Wang Shigong, Zou Han, Yang Debao, Shang Kezheng. Preliminary Study of the Variety of Stable Atmospheric Boundary Layer in Lanzou City Zone [J]. , 2003, 20(4): 482-487.
[13]	Huang Changjun, Wang Qiming. Self-Assembled Germanium Quantum Dots in Silicon Germanium Material System [J]. , 2003, 20(4): 510-516.
[14]	XIAO Xiang Hui YAN Yong Lian . Contact-Cooled T-Monochromator for X Beamlines [J]. , 2002, 19(4): 395-398.