CLC number: O35
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2018-08-10
Cited: 0
Clicked: 4180
Da-peng Tan, Lin Li, Yin-long Zhu, Shuai Zheng, Zi-chao Yin, Dai-feng Li. Critical penetration condition and Ekman suction-extraction mechanism of a sink vortex[J]. Journal of Zhejiang University Science A, 2019, 20(1): 61-72.
@article{title="Critical penetration condition and Ekman suction-extraction mechanism of a sink vortex",
author="Da-peng Tan, Lin Li, Yin-long Zhu, Shuai Zheng, Zi-chao Yin, Dai-feng Li",
journal="Journal of Zhejiang University Science A",
volume="20",
number="1",
pages="61-72",
year="2019",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1800260"
}
%0 Journal Article
%T Critical penetration condition and Ekman suction-extraction mechanism of a sink vortex
%A Da-peng Tan
%A Lin Li
%A Yin-long Zhu
%A Shuai Zheng
%A Zi-chao Yin
%A Dai-feng Li
%J Journal of Zhejiang University SCIENCE A
%V 20
%N 1
%P 61-72
%@ 1673-565X
%D 2019
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1800260
TY - JOUR
T1 - Critical penetration condition and Ekman suction-extraction mechanism of a sink vortex
A1 - Da-peng Tan
A1 - Lin Li
A1 - Yin-long Zhu
A1 - Shuai Zheng
A1 - Zi-chao Yin
A1 - Dai-feng Li
J0 - Journal of Zhejiang University Science A
VL - 20
IS - 1
SP - 61
EP - 72
%@ 1673-565X
Y1 - 2019
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1800260
Abstract: The critical penetration condition is an essential component of studies on the mechanism of sink vortex formation. However, the condition and its transition process are unknown. To address this issue, we constructed a Rankine-vortex-based fluid mechanic model, and proposed a Helmholtz-equation-based solution method to acquire the critical penetration condition. The two-phase mass suction-extraction mechanism of the ekman boundary layer was discussed. Numerical results show that the critical penetration condition is dependent on the initial velocity components; if the initial disturbances are enhanced, the suction-extraction height and Ekman layer thickness increase. A particle image velocimetry (PIV)-based observation experimental platform was developed, and the effectiveness of the proposed method was verified. The vortex core boundary was observed first, so the radius of the vortex core could be acquired precisely.
The paper is concerned with a Rankine-vortex-based fluid mechanic model to understand the critical penetration condition on sink vortex formation mechanism, and hence a Helmholtz-equation-based solution method to acquire the critical penetration condition of sink vortex is proposed. Numerical simulations reveal that the critical penetration condition depends on different initial velocity components adjusting the suction-extraction height and Ekman layer thickness. An experimental work is finally performed to verify the theoretical model with good agreement.
[1]Aboelkassem Y, Georgicis V, 2007. New model for compressible vortices. ASME Journal of Fluids Engineering, 129(8):1073-1079.
[2]Aboelkassem Y, Vatistas GH, Esmail N, 2005. Viscous dissipation of Rankine vortex profile in zero meridional flow. Acta Mechanica Sinica, 21(6):550-556.
[3]Andersen A, Bohr T, Stenum B, 2003. Anatomy of a bathtub vortex. Physical Review Letters, 91(10):104502.
[4]Andersen A, Bohr T, Stenum B, 2006. The bathtub vortex in a rotating container. Journal of Fluid Mechanics, 556: 121-146.
[5]Basu S, Saha A, Kumar R, 2012. Thermally induced secondary atomization of droplet in an acoustic field. Applied Physics Letters, 100(5):054101.
[6]Chen JL, Xu F, Tan DP, et al., 2015. A control method for agricultural greenhouses heating based on computational fluid dynamics and energy prediction model. Applied Energy, 141:106-118.
[7]Chen YC, Huang SL, Li ZY, et al., 2013. A bathtub vortex under the influence of a protruding cylinder in a rotating tank. Journal of Fluid Mechanics, 733:134-157.
[8]Chen ST, Tan DP, 2018. A SA-ANN-based modeling method for human cognition mechanism and the PSACO cognition algorithm. Complexity, 2018:6264124.
[9]Di J, Fu XC, Zheng HJ, et al., 2015. H-TiO2/C/MnO2 nanocomposite materials for high-performance supercapacitors. Journal of Nanoparticle Research, 17(6):255.
[10]Ding H, Lv JD, Wu HP, et al., 2018. Enhanced light-harvesting by plasmonic hollow gold nanospheres for photovoltaic performance. Royal Society Open Science, 5(1):171350.
[11]Dolan SR, Oliveira ES, 2013. Scattering by a draining bathtub vortex. Physical Review D, 87(12):124038.
[12]Ge JQ, Tan DP, Ji SM, 2018. A gas-liquid-solid three-phase abrasive flow processing method based on bubble collapsing. International Journal of Advanced Manufacturing Technology, 95(1-4):1069-1085.
[13]Ghani IA, Sidik NAC, Kamaruzaman N, 2017. Hydrothermal performance of microchannel heat sink: the effect of channel design. International Journal of Heat and Mass Transfer, 107:21-44.
[14]Huang XY, Cheng WJ, Zhong W, et al., 2017. Development of new pressure regulator with flowrate-amplification using vacuum ejector. Vacuum, 144:172-182.
[15]Ji SM, Xiao FQ, Tan DP, 2010. Analytical method for softness abrasive flow field based on discrete phase model. Science China-Technological Sciences, 53(10):2867-2877.
[16]Ji SM, Weng XX, Tan DP, 2012. Analytical method of softness abrasive two-phase flow field based on 2D model of LSM. Acta Physica Sinica, 61(1):010205 (in Chinese).
[17]Ji SM, Ge JQ, Tan DP, 2017. Wall contact effects of particle-wall collision process in two-phase particle fluid. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 18(12):958-973.
[18]Li C, Ji SM, Tan DP, 2012. Softness abrasive flow method oriented to tiny scale mold structural surface. International Journal of Advanced Manufacturing Technology, 61(9-12):975-987.
[19]Li C, Ji SM, Tan DP, 2013. Multiple-loop digital control method for 400 Hz inverter system based on phase feedback. IEEE Transactions on Power Electronics, 28(1):408-417.
[20]Li HX, Wang Q, Jiang J, et al., 2016. Analysis of factors affecting free surface vortex formation during steel teeming. ISIJ International, 56(1):94-102.
[21]Li J, Ji SM, Tan DP, 2017. Improved soft abrasive flow finishing method based on turbulent kinetic energy enhancing. Chinese Journal of Mechanical Engineering, 30(2):301-309.
[22]Li PX, Liu P, Liu ZC, et al., 2017. Experimental and numerical study on the heat transfer and flow performance for the circular tube fitted with drainage inserts. International Journal of Heat and Mass Transfer, 107:686-696.
[23]Lin R, Yan ZG, Yu JK, 2010. Physical modeling test of vortex during teeming from ladle. Journal of Northeastern University, 31(9):1287-1291.
[24]Lundgren TS, 1985. The vortical flow above the drain-hole in a rotating vessel. Journal of Fluid Mechanics, 155:381-412.
[25]Matsumoto Y, Hoshino M, 2004. Onset of turbulence induced by a Kelvin-Helmholtz vortex. Geophysical Research Letters, 31(2):L02807.
[26]Nguyen T, Liu D, Thongkaew K, et al., 2018. The wear mechanisms of reaction bonded silicon carbide under abrasive polishing and slurry jet impact conditions. Wear, 410-411:156-164.
[27]Peterson SD, Porfiri M, 2012. Energy exchange between a vortex ring and an ionic polymer metal composite. Applied Physics Letters, 100(11):114102.
[28]Qi H, Xie Z, Hong T, et al., 2017. CFD modelling of a novel hydrodynamic suspension polishing process for ultra-smooth surface with low residual stress. Powder Technology, 317:320-328.
[29]Qi H, Cheng Z, Cai D, et al., 2018. Experimental study on the improvement of surface integrity of tungsten steel using acoustic levitation polishing. Journal of Materials Processing Technology, 259:361-367.
[30]Shi KG, Li X, 2018. Experimental and theoretical study of dynamic characteristics of Bernoulli gripper. Precision Engineering, 52:323-331.
[31]Shi YX, Fox RO, Olsen MG, 2011. Confocal imaging of laminar and turbulent mixing in a microscale multi-inlet vortex nanoprecipitation reactor. Applied Physics Letters, 99(20):204103.
[32]Tan DP, Zhang LB, 2014. A WP-based nonlinear vibration sensing method for invisible liquid steel slag detection. Sensors and Actuators B-Chemical, 202:1257-1269.
[33]Tan DP, Li PY, Pan XH, 2009. Application of improved HMM algorithm in slag detection system. Journal of Iron and Steel Research International, 16(1):1-6.
[34]Tan DP, Ji SM, Li PY, et al., 2010. Development of vibration style ladle slag detection method and the key technologies. Science China-Technological Sciences, 53(9):2378-2387.
[35]Tan DP, Li PY, Ji YX, et al., 2013. SA-ANN-based slag carry-over detection method and the embedded WME platform. IEEE Transactions on Industrial Electronics, 60(10):4702-4713.
[36]Tan DP, Zhang LB, Ai QL, 2016a. An embedded self-adapting network service framework for networked manufacturing system. Journal Intelligent Manufacturing, p.1-18.
[37]Tan DP, Yang T, Zhao J, et al., 2016b. Free sink vortex Ekman suction-extraction evolution mechanism. Acta Physica Sinica, 65(5):054701.
[38]Tan DP, Ji SM, Fu YZ, 2016c. An improved soft abrasive flow finishing method based on fluid collision theory. International Journal of Advanced Manufacturing Technology, 85(5-8):1261-1274.
[39]Tan DP, Li L, Zhu YL, et al., 2017a. An embedded cloud database service method for distributed industry monitoring. IEEE Transactions on Industrial Informatics, 14(7):2881-2893.
[40]Tan DP, Chen ST, Bao GJ, et al., 2017b. An embedded lightweight GUI component library and the ergonomics optimization method for industry process monitoring. Frontiers of Information Technology & Electronic Engineering, 19(5):604-625.
[41]Tan DP, Ni YS, Zhang LB, 2017c. Two-phase sink vortex suction mechanism and penetration dynamic characteristics in ladle teeming process. Journal of Iron and Steel Research International, 24(7):669-677.
[42]Tong SP, 2006. Advanced Fluid Mechanics. China University of Petroleum Press, Dongying, China, p.155 (in Chinese).
[43]Turkyilmazoglu M, 2011. Wall stretching in magnetohydrodynamics rotating flows in inertial and rotating frames. Journal of Thermophysics and Heat Transfer, 25(4):606-613.
[44]Turkyilmazoglu M, 2018. Flow and heat due to a surface formed by a vortical source. European Journal of Mechanics B-Fluids, 68:76-84.
[45]Tyvand PA, Haugena KB, 2005. An impulsive bathtub vortex. Physics of Fluids, 17:062105.
[46]Wang XH, Liu AP, Xing Y, et al., 2018. Three-dimensional graphene biointerface with extremely high sensitivity to single cancer cell monitoring. Biosensors & Bioelectronics, 105:22-28.
[47]Wu HP, Li L, Chai GZ, et al., 2016. Three-dimensional thermal weight function method for the interface crack problems in bimaterial structures under a transient thermal loading. Journal of Thermal Stresses, 39(4):371-385.
[48]Wu ZH, Zheng NG, Zhang SW, et al., 2016. Maze learning by a hybrid brain-computer system. Scientific Reports, 6: 31746.
[49]Yokoyama N, Maruyama Y, Mizushima J, 2012. Origin of the bathtub vortex and its formation mechanism. Journal of the Physical Society of Japan, 81(7):074401.
[50]Zeng X, Ji SM, Tan DP, et al., 2013. Softness consolidation abrasives material removal characteristic oriented to laser hardening surface. International Journal of Advanced Manufacturing Technology, 69(9-12):2323-2332.
[51]Zeng X, Ji SM, Jin MS, et al., 2014. Investigation on machining characteristic of pneumatic wheel based on softness consolidation abrasives. International Journal of Precision Engineering and Manufacturing, 15(10):2031-2039.
[52]Zeng X, Ji SM, Jin MS, et al., 2016. Research on dynamic characteristic of softness consolidation abrasives in machining process. International Journal of Advanced Manufacturing Technology, 82(5-8):1115-1125.
[53]Zhang L, Wang JS, Tan DP, et al., 2017. Gas compensation based abrasive flow processing method for complex titanium alloy surfaces. International Journal of Advanced Manufacturing Technology, 92(9-12):3385-3397.
[54]Zhang L, Yuan Z, Qi Z, et al., 2018a. CFD-based study of the abrasive flow characteristics within constrained flow passage in polishing of complex titanium alloy surfaces. Powder Technology, 333:209-218.
[55]Zhang L, Yuan Z, Tan DP, et al., 2018b. An improved abrasive flow processing method for complex geometric surfaces of titanium alloy artificial joints. Applied Sciences, 8(7):1037.
[56]Zhang LB, Lv HP, Tan DP, et al., 2018. An adaptive quantum genetic algorithm for task sequence planning of complex assembly systems. Electronics Letters, 54(14):870-872.
[57]Zhao JH, Li X, 2016. Effect of supply flow rate on performance of pneumatic non-contact gripper using vortex flow. Experimental Thermal and Fluid Science, 79:91-100.
[58]Zhao ZF, Zhou H, Zheng LX, et al., 2017. Molecules interface engineering derived external electric field for effective charge separation in photoelectrocatalysis. Nano Energy, 42:90-97.
[59]Zheng HJ, Wang JX, Jia Y, et al., 2012. In-situ synthetize multi-walled carbon nanotubes@MnO2 nanoflake core-shell structured materials for supercapacitors. Journal of Power Sources, 216:508-514.
[60]Zheng HJ, Niu P, Zhao ZF, 2017. Carbon quantum dot sensitized Pt@Bi2WO6/FTO electrodes for enhanced photoelectro-catalytic activity of methanol oxidation. RCS Advances, 7(43):26943-26951.
[61]Zheng NG, Su LJ, Zhang DQ, et al., 2015. A computational model for ratbot locomotion based on cyborg intelligence. Neurocomputing, 170:92-97.
Open peer comments: Debate/Discuss/Question/Opinion
<1>