A numerical phase field model is developed to investigate the Rayleigh-Taylor instability (RTI) subject to a horizontal electric field. The model entails the simultaneous solution of the electric field equation and the Navier-Stokes equation for fluid flow coupled with the phase field model for the evolution of the fluid-fluid interface deformation and morphology. The in-house Fortran code was developed to enable the computing. Results show that, for pure dielectric fluids, the presence of the horizontal electric field induces polarization charges and produces a Korteweg-Helmholtz force which acts to suppress the RTI. For poorly conducting liquids, for which a leaky dielectric description is more appropriate. In this model, both polarization and free charges present. The effect of the free charge in this case depends on the specific values of λε and λσ. For the fluids of λε >1, it aggravates RTI if λσ<λε, and suppresses that when λσ>λε.
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ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology
July 14–19, 2013
Minneapolis, Minnesota, USA
Conference Sponsors:
- Heat Transfer Division
ISBN:
978-0-7918-5548-5
PROCEEDINGS PAPER
A Phase Field Modeling Study of the Rayleigh-Taylor Instability Subject to a Horizontal Electric Field Available to Purchase
Qingzhen Yang,
Qingzhen Yang
Xi’an Jiaotong University, Xi’an, Shaanxi, China
University of Michigan-Dearborn, Dearborn, MI
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Zhengtuo Zhao,
Zhengtuo Zhao
University of Michigan-Dearborn, Dearborn, MI
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Ben Q. Li,
Ben Q. Li
University of Michigan-Dearborn, Dearborn, MI
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Yucheng Ding
Yucheng Ding
Xi’an Jiaotong University, Xi’an, Shaanxi, China
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Qingzhen Yang
Xi’an Jiaotong University, Xi’an, Shaanxi, China
University of Michigan-Dearborn, Dearborn, MI
Zhengtuo Zhao
University of Michigan-Dearborn, Dearborn, MI
Ben Q. Li
University of Michigan-Dearborn, Dearborn, MI
Yucheng Ding
Xi’an Jiaotong University, Xi’an, Shaanxi, China
Paper No:
HT2013-17751, V002T07A011; 8 pages
Published Online:
December 21, 2013
Citation
Yang, Q, Zhao, Z, Li, BQ, & Ding, Y. "A Phase Field Modeling Study of the Rayleigh-Taylor Instability Subject to a Horizontal Electric Field." Proceedings of the ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology. Volume 2: Heat Transfer Enhancement for Practical Applications; Heat and Mass Transfer in Fire and Combustion; Heat Transfer in Multiphase Systems; Heat and Mass Transfer in Biotechnology. Minneapolis, Minnesota, USA. July 14–19, 2013. V002T07A011. ASME. https://doi.org/10.1115/HT2013-17751
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