Experimental and Numerical Analyses of the Flow and Temperature of Buoyancy-Marangoni Convection in a Liquid

Article Preview

Abstract:

Flow patterns and temperature distributions of buoyancy–Marangoni convection in a liquid were analyzed both experimentally and theoretically. We focused on two-dimensional natural convection in a horizontal liquid layer. In the experiment, silicone oil (with a viscosity of 1 × 10−5 m2/s) was used as a test liquid and the temperature and velocity fields were visualized using liquid crystal capsules. The visualization experiment included cases of both steady flow and oscillatory flow. In the case of a deep liquid layer, an oscillatory flow with repeated acceleration and deceleration occurred due to the interaction of the buoyancy convection and the Marangoni convection; however, this did not occur when the liquid layer was shallow. In the numerical calculation, the governing equations of buoyancy–Marangoni convection were solved using a finite difference method. The numerical calculation results demonstrate that the position of the downward flow due to buoyancy convection was changed by the Marangoni convection, which agreed with the experimental result.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

27-32

Citation:

Online since:

March 2018

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2018 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] L. Rayleigh, On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side, Phil. Mag. J. Sci. Ser. 6, 32 (1916) 529-546.

DOI: 10.1080/14786441608635602

Google Scholar

[2] E.M. Sparrow, R.J. Goldstein, V.K. Jonsson, Thermal instability in a horizontal fluid layer: effect of boundary conditions and non-linear temperature profile, J. Fluid Mech. 18 (1964) 513-528.

DOI: 10.1017/s0022112064000386

Google Scholar

[3] J. Thomson, On certain curious motions observable at the surfaces of wine and other alcoholic liquors, Phyl. Mag. Ser. 4, 10 (1855) 330-333.

DOI: 10.1080/14786445508641982

Google Scholar

[4] J.R.A. Pearson, On convection cells induced by surface tension, J. Fluid Mech. 4 (1958) 489-500.

Google Scholar

[5] M.H. Kim, C.Y. Oh, D.L. Kim, Transient Marangoni–buoyancy convection in rectangular tank with phase change, Int. Comm. Heat Mass Transf. 30, 8 (2003) 1115-1124.

DOI: 10.1016/s0735-1933(03)00177-5

Google Scholar

[6] L. Braescu, T. Duffar, Effect of buoyancy and Marangoni forces on the dopant distribution in a single crystal fiber grown from the melt by edge-defined film-fed growth (EFG) method, J. Cryst. Growth 310 (2008) 484-489.

DOI: 10.1016/j.jcrysgro.2007.10.046

Google Scholar

[7] Y. Li, M. Yoda, An experimental study of buoyancy–Marangoni convection in confined and volatile binary fluids, Int. J. Heat Mass Transf. 102 (2016) 369-380.

DOI: 10.1016/j.ijheatmasstransfer.2016.06.004

Google Scholar

[8] D. Schwabe, A. Scharmann, F. Preisser, R. Oeder, Experiments on surface tension driven flow in floating zone melting, J. Cryst.
Growth 43 (1978) 305.

DOI: 10.1016/0022-0248(78)90387-1

Google Scholar

[9] A. Eyer, H. Leiste, R. Nitsche, Floating zone growth of silicon under microgravity in a sounding rocket, J. Cryst. Growth 71 (1985) 173-182.

DOI: 10.1016/0022-0248(85)90059-4

Google Scholar

[10] C.J. Jing, N. Imaishi, S. Yasuhiro, Y. Miyazawa, Three-dimensional numerical simulation of spoke pattern in oxide melt, J. Cryst. Growth 200 (1999) 204-212.

DOI: 10.1016/s0022-0248(98)01298-6

Google Scholar

[11] Y.R. Li, N. Imaishi, T. Azami, T. Hibiya, Three-dimensional oscillatory flow in a thin annular pool of silicon melt, J. Cryst. Growth 260 (2004) 28-42.

DOI: 10.1016/j.jcrysgro.2003.08.017

Google Scholar

[12] L.D. Landau, E.M. Lifshitz, Fluid Mechanics, second ed., Course of Theoretical Physics, Vol. 6, Butterworth-Heinemann, Oxford, (1987).

Google Scholar