ORIGINAL PAPER
An Effect of Electrokinetics Phenomena on Nonlinear Wave Propagation in Bubbly Liquids
,
 
,
 
 
 
More details
Hide details
1
Department of Fluid Mechanics, Institute of Mathematic and Mechanics, Azerbaijan National Academy of Sciences, B. Vagabzadeh St., 9, AZ1141, Baku, Azerbaijan
 
2
New Mexico Institute of Mining and Technology, Mechanical Engineering Department, 801 Leroy Place, Socorro, NM 87801, USA
 
 
Online publication date: 2021-08-26
 
 
Publication date: 2021-09-01
 
 
International Journal of Applied Mechanics and Engineering 2021;26(3):177-186
 
KEYWORDS
ABSTRACT
A study of nonlinear waves in liquid-gas mixtures with the consideration of internal effects is an important problem of both the fundamental and the applied fluid mechanics. Investigation of nonlinear waves in the gas-liquid mixtures with allowance for internal effects is an important task of both fundamental and applied fluid mechanics. These problems often arise in industrial processes such as oil and gas production, hydrocarbons pipeline transportation, gas-saturated fluids flow in pipelines, etc. In this work, we investigate the effect of the internal electric field on the nonlinear wave propagation in a bubbly liquid. Numerical simulations have been conducted to study the nonlinear waves described by the nonlinear Burgers-Korteweg-de Vries equation. The numerical simulations showed that the electrokinetic processes significantly affect the wave propagation process. The amplitude of the waves gradually decreases when the size of the gas bubble is decreasing and the electrical potential increases. A good agreement of obtained results with our previous predictions is found.
REFERENCES (22)
1.
Wijngaarden L.V. (1972): One-dimensional flow of liquids containing small gas bubbles.– Annual Review of Fluid Mechanics, vol.4, No.1, pp.369-396. https://doi.org/10.1146/annure....
 
2.
Feng Zs. and Meng Qg. (2007): Burgers-Korteweg-de Vries equation and its traveling solitary waves.– Sci. China Ser. A., vol.50, pp.412-422. https://doi.org/10.1007/s11425....
 
3.
Xiaohui Wang, Zhaosheng Feng, Lokenath Debnath and David Y. Gao (2008): The Korteweg-de Vries-Burgers equation and its approximate solution.– Int. J. Comput. Math., vol.85. pp.853-863. https://doi.org/10.1080/002071....
 
4.
Caflisch R., Miksis M., Papanicolaou G. and Ting L. (1985): Wave propagation in bubbly liquids at finite volume fraction.– Journal of Fluid Mechanics, vol.160, pp.1-14. https://doi/org:10.1017/S00221....
 
5.
Kudryashov N.A. and Sinelshchikov D.I. (2014): Extended models of non-linear waves in liquid with gas bubbles.– International Journal of Non-Linear Mechanics, vol.63, pp.31-38. https://arxiv.org/ct?url=https....
 
6.
Mahmood S. and Kwak H.Y. (2016): Pressure waves in bubbly liquids.– J Mech Sci Technol, vol.30, pp.3935-3943. https://doi.org/10.1007/s12206....
 
7.
Keller J.B. and Miksis M. (1980): Bubble oscillations of large amplitude.– J. Acoust. Soc. Am., vol.68, pp.628-633.
 
8.
Yuning Zhang, Zhongyu Guo, Yuhang Gao and Xiaoze Du (2018): Acoustic wave propagation in bubbly flow with gas, vapor or their mixtures.– Ultrasonics Sonochemistry, vol.40, Part B, pp.40-45. https://doi.org/10.1016/j.ults....
 
9.
Seung S. and Kwak H.Y. (2017): Shock wave propagation in bubbly liquids at small gas volume fractions.– J Mech Sci Technol, vol.31, pp.1223-1231. https://doi.org/10.1007/s12206....
 
10.
Martins J.C. and Seleghim P. (2017): Propagation and attenuation of pressure waves in dispersed two-phase flows.– J. Fluids Eng., vol.139, No.1, p.13. doi: https://doi.org/10.1115/1.4034....
 
11.
Gubaidullin D.A. and Fedorov Y.V. (2019): Acoustic waves in a liquid with gas bubbles covered by a viscoelastic shell.– Fluid Dyn, vol.54, pp.270-278. https://doi.org/10.1134/S00154....
 
12.
Li Hongtao, Chen Ruoming, Li Xiaojun, Meng Yingfeng, Zhu Li and Zhao Jibin (2016): Investigation of pressure wave propagation and attenuation characteristics in wellbore gas-liquid two-phase flow.– Journal of Natural Gas Science and Engineering, vol.35. https://doi.org/10.1016/j.jngs....
 
13.
Yano T., Kanagawa T., Watanabe M. and Fujikawa S. (2013): Nonlinear Wave Propagation in Bubbly Liquids.– In: Bubble Dynamics and Shock Waves (C. Delale, Ed.), Shock Wave Science and Technology Reference Library, vol.8., Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-....
 
14.
Sitdikova L.F. and Gimaltdinov I.K. (2019): The problem spreading acoustic waves in a porous environment with air bubbles on pore walls.– In: International Scientific Conference Energy Management of Municipal Facilities and Sustainable Energy Technologies, 10-13 December 2019, Voronezh, Russian Federation, Journal of Physics: Conference Series, vol.1614. doi:10.1088/1742-6596/1614/1/012088.
 
15.
Cerepi Adrian (2004): Streaming potential in two-phase flow condition.– Geophysical Research Letters, vol.31, No.11. doi.org/10.1029/2004GL020140.
 
16.
Panahov G.M. and Museibli P.T (2017): The study of internal exposure on the fluid hydrodynamics.– Transactions of NAS of Azerbaijan: Issue Mechanics, vol.37, No.7, pp.66-71.
 
17.
Gallyamov A.K., Shammazov A.M., Tagirov R.Sh. and Fattakhov M.M. (1983): Investigation of the influence of gas on the accuracy of turbine flowmeters (in Russian).– Oil Industry, vol.4, pp.47-49.
 
18.
Nigmatulin R.I. (1978): Fundamentals of Mechanics of Heterogeneous Media.– Moscow: Nauka.
 
19.
Nakoryakov V.E., Sobolev V.V. and Shreiber I.R. (1972): Longwave perturbations in a gas-liquid mixture.– Fluid Dyn, vol.7, pp.763768. https://doi.org/10.1007/BF0120....
 
20.
Kutateladze S.S. and Styrikovich M.A. (1976): Hydrodynamics Of Gas-Liquid Systems.– Moscow: Energia.
 
21.
Karpman V.I. (1973): Nonlinear Waves in Dispersive Media.– Moscow: Nauka.
 
22.
Whitham J. (1977): Linear and Nonlinear Waves.– Moscow: Mir, p.622.
 
eISSN:2353-9003
ISSN:1734-4492
Journals System - logo
Scroll to top