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In this paper, a series of experiments are conducted to understand the influence of Soret effect on thermal convection of binary mixture in a cylindrical pool with a free surface. The cylindrical pool is filled with the n-decane/n-hexane mixture with an n-decane initial mass fraction of 50%. The cylindrical pool and the disk on the free surface are kept at constant temperatures of Th and Tc (Th Tc), respectively. Temperature fluctuation pattern on the free surface is obtained by the schlieren method. Various temperature oscillatory patterns on the free surface are observed when the thermal convection of the n-decane/n-hexane mixture destabilizes at different aspect ratios. Results show that the critical thermal capillary Reynolds number of the incipience of the three-dimensional oscillatory flow in the n-decane/n-hexane mixture is smaller than that in the n-hexane fluid, and the variation tendency with the aspect ratio in the n-decane/n-hexane mixture is the same as that in the n-hexane fluid. The solute-capillary force caused by Soret effect plays an important role of the thermal convection in the n-decane/n-hexane mixture. Because the solute-capillary force has the same direction as the thermocapillary force, the thermal convection in the n-decane/n-hexane mixture becomes more instable and the critical thermocapillary Reynolds number is smaller than that in the n-hexane fluid. In the n-decane/n-hexane mixture, when the aspect ratio increases from 0.0217 to 0.0392, the critical thermal capillary Reynolds number decreases from 7.2104 to 5.0104. With the increase of the aspect ratio, the effect of the buoyancy is enhanced, and the critical thermocapillary Reynolds number decreases. When the aspect ratio increases from 0.0392 to 0.0434, the cold plume which facilitates destabilizing the thermal convection cannot be obviously enhanced. There is little effect of the cold plume on the fluid near the bottom. Therefore, the critical thermal capillary Reynolds number increases from 5.0104 to 6.4104 in this range. In the deep pool, the critical thermal capillary Reynolds number is almost a constant value. When the aspect ratio is smaller than 0.0848, the three-dimensional oscillatory flow occurs and the hydrothermal waves are observed. After the three-dimensional oscillatory flow appears, two groups of the hydrothermal waves with opposite propagating directions coexist in the pool. With the increase of the thermal capillary Reynolds number, the honeycomb-like patterns appear on the free surface, which are similar to the Bnard cells. In addition, the non-dimensional fundamental oscillation frequency increases with the thermal capillary Reynolds number. When the aspect ratio is bigger than 0.0848, spoke pattern, rosebud-like pattern and thin-longitudinal stripes will appear sequentially with the increase of thermocapillary Reynolds number. Furthermore, the number of the rosebud-like patterns decreases, while the area on the free surface in the pool occupied by the rosebud-like pattern increases with the increase of the thermal capillary Reynolds number.
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Keywords:
- Soret effect /
- binary mixture /
- thermal convection /
- experimental study
[1] Soret C 1979 Arch. Sci. Phys. Nat. 2 48
[2] Pugin V A, Bagdasarov N 1988 Geochem. Int. 25 57
[3] Carrigan C R, Cygan R T 1986 J. Geophys. Res. 91 11451
[4] Platten J K 2006 J. Appl. Mech. 73 5
[5] Rahman M A, Saghir M Z 2014 Int. J. Heat Mass Transf. 73 693
[6] Ning L Z, Yuan Z, Shi F, Qi X 2007 Chin. J. Appl. Mech. 24 363 (in Chinese) [宁利中, 袁喆, 石峯, 齐昕 2007 应用力学学报 24 363]
[7] Ning L Z, Qi X, Zhou Y, Yu L 2009 Acta Phys. Sin. 58 2528 (in Chinese) [宁利中, 齐昕, 周洋, 余荔 2009 物理学报 58 2528]
[8] Ning L Z, Wang N, Yuan Z, Li K J, Wang Z Y 2014 Acta Phys. Sin. 63 104401 (in Chinese) [宁利中, 王娜, 袁喆, 李开继, 王卓运 2014 物理学报 63 104401]
[9] Bergeon A, Henry D, Benhadid L H, Tuckerman L S 1998 J. Fluid Mech. 375 143
[10] Jian Y J, E X Q, Zhang J, Meng J M 2004 Chin. Phys. 13 2013
[11] Charrier-Mojtabi M C, Elhajjar B, Mojtabi A 2007 Phys. Fluids 19 124104
[12] Mansour A, Amahmid A, Hasnaoui M, Bourich M 2006 Numer. Heat Tranf. A-Appl. 49 69
[13] Mansour A, Amahmid A, Hasnaoui M 2008 Int. J. Heat Fluid Flow 29 306
[14] Mansour A, Amahmid A, Hasnaoui M, Bourich M 2004 Int. Comm. Heat Mass Transf. 31 431
[15] Alloui I, Benmoussa H, Vasseur P 2010 Int. J. Heat Fluid Flow 31 191
[16] Zhu Z Q, Chen S L, Liu Q S, Tong S L 2011 Chin. J. Theoret. Appl. Mech. 43 674 (in Chinese) [朱志强, 陈淑玲, 刘秋生, 同少莉 2011 力学学报 43 674]
[17] Duan L, Kang Q 2008 Chin. Phys. B 17 3149
[18] Gong Z X, Li Y R, Peng L, Wu S Y, Shi W Y 2013 Acta Phys. Sin. 62 040201 (in Chinese) [龚振兴, 李友荣, 彭岚, 吴双应, 石万元 2013 物理学报 62 040201]
[19] Yu J J, Ruan D F, Li Y R, Chen J C 2015 Exp. Therm. Fluid Sci. 61 79
[20] Yu J J, Li Y R, Chen J C 2014 J. Eng. Thermophys. 35 1176 (in Chinese) [于佳佳, 李友荣, 陈捷超 2014 工程热物理学报 35 1176]
[21] Shi W Y, Li Y R, Zeng D L, Imaishi N 2007 J. Eng. Thermophys. 28 101 (in Chinese) [石万元, 李友荣, 曾丹苓, 今石宣之 2007 工程热物理学报 28 101]
[22] Shi W Y, Wang Y 2013 J. Eng. Thermophys. 34 702 (in Chinese) [石万元, 王瑜 2013 工程热物理学报 34 702]
[23] Blanco P, Polyakov P, Bou-Ali M M, Wiegand S 2008 J. Phys. Chem. B 112 8340
[24] Teitel M, Schwabe D, Gelfgat A Y 2008 J. Cryst. Growth 310 1343
[25] Peng L, Li Y R, Shi W Y, Imaishi N 2007 Int. J. Heat Mass Transf. 50 872
[26] Shi W Y, Imaishi N 2006 J. Cryst. Growth 290 280
[27] Bnard H 1901 J. Phys. Theor. Appl. 10 254
[28] Sim B C, Zebib A, Schwabe D 2003 J. Fluid Mech. 491 259
[29] Benz S, Schwabe D 2001 Exp. Fluids 31 409
[30] Li Y R, Yuan X F, Hu Y P, Tang J W 2013 Exp. Thermal Fluid Sci. 44 544
[31] Coleman H W, Steele W G 2009 Experimentation, Validation, and Uncertainty Analysis for Engineers (3rd Ed.) (New York: John Wiley Sons) pp128-150
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[1] Soret C 1979 Arch. Sci. Phys. Nat. 2 48
[2] Pugin V A, Bagdasarov N 1988 Geochem. Int. 25 57
[3] Carrigan C R, Cygan R T 1986 J. Geophys. Res. 91 11451
[4] Platten J K 2006 J. Appl. Mech. 73 5
[5] Rahman M A, Saghir M Z 2014 Int. J. Heat Mass Transf. 73 693
[6] Ning L Z, Yuan Z, Shi F, Qi X 2007 Chin. J. Appl. Mech. 24 363 (in Chinese) [宁利中, 袁喆, 石峯, 齐昕 2007 应用力学学报 24 363]
[7] Ning L Z, Qi X, Zhou Y, Yu L 2009 Acta Phys. Sin. 58 2528 (in Chinese) [宁利中, 齐昕, 周洋, 余荔 2009 物理学报 58 2528]
[8] Ning L Z, Wang N, Yuan Z, Li K J, Wang Z Y 2014 Acta Phys. Sin. 63 104401 (in Chinese) [宁利中, 王娜, 袁喆, 李开继, 王卓运 2014 物理学报 63 104401]
[9] Bergeon A, Henry D, Benhadid L H, Tuckerman L S 1998 J. Fluid Mech. 375 143
[10] Jian Y J, E X Q, Zhang J, Meng J M 2004 Chin. Phys. 13 2013
[11] Charrier-Mojtabi M C, Elhajjar B, Mojtabi A 2007 Phys. Fluids 19 124104
[12] Mansour A, Amahmid A, Hasnaoui M, Bourich M 2006 Numer. Heat Tranf. A-Appl. 49 69
[13] Mansour A, Amahmid A, Hasnaoui M 2008 Int. J. Heat Fluid Flow 29 306
[14] Mansour A, Amahmid A, Hasnaoui M, Bourich M 2004 Int. Comm. Heat Mass Transf. 31 431
[15] Alloui I, Benmoussa H, Vasseur P 2010 Int. J. Heat Fluid Flow 31 191
[16] Zhu Z Q, Chen S L, Liu Q S, Tong S L 2011 Chin. J. Theoret. Appl. Mech. 43 674 (in Chinese) [朱志强, 陈淑玲, 刘秋生, 同少莉 2011 力学学报 43 674]
[17] Duan L, Kang Q 2008 Chin. Phys. B 17 3149
[18] Gong Z X, Li Y R, Peng L, Wu S Y, Shi W Y 2013 Acta Phys. Sin. 62 040201 (in Chinese) [龚振兴, 李友荣, 彭岚, 吴双应, 石万元 2013 物理学报 62 040201]
[19] Yu J J, Ruan D F, Li Y R, Chen J C 2015 Exp. Therm. Fluid Sci. 61 79
[20] Yu J J, Li Y R, Chen J C 2014 J. Eng. Thermophys. 35 1176 (in Chinese) [于佳佳, 李友荣, 陈捷超 2014 工程热物理学报 35 1176]
[21] Shi W Y, Li Y R, Zeng D L, Imaishi N 2007 J. Eng. Thermophys. 28 101 (in Chinese) [石万元, 李友荣, 曾丹苓, 今石宣之 2007 工程热物理学报 28 101]
[22] Shi W Y, Wang Y 2013 J. Eng. Thermophys. 34 702 (in Chinese) [石万元, 王瑜 2013 工程热物理学报 34 702]
[23] Blanco P, Polyakov P, Bou-Ali M M, Wiegand S 2008 J. Phys. Chem. B 112 8340
[24] Teitel M, Schwabe D, Gelfgat A Y 2008 J. Cryst. Growth 310 1343
[25] Peng L, Li Y R, Shi W Y, Imaishi N 2007 Int. J. Heat Mass Transf. 50 872
[26] Shi W Y, Imaishi N 2006 J. Cryst. Growth 290 280
[27] Bnard H 1901 J. Phys. Theor. Appl. 10 254
[28] Sim B C, Zebib A, Schwabe D 2003 J. Fluid Mech. 491 259
[29] Benz S, Schwabe D 2001 Exp. Fluids 31 409
[30] Li Y R, Yuan X F, Hu Y P, Tang J W 2013 Exp. Thermal Fluid Sci. 44 544
[31] Coleman H W, Steele W G 2009 Experimentation, Validation, and Uncertainty Analysis for Engineers (3rd Ed.) (New York: John Wiley Sons) pp128-150
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