The effect of normal electric field on the evolution of immiscible Rayleigh-Taylor instability

2016 ◽  
Vol 30 (5) ◽  
pp. 469-483 ◽  
Author(s):  
Nima Tofighi ◽  
Murat Ozbulut ◽  
James J. Feng ◽  
Mehmet Yildiz
Keyword(s):  
Electric Field ◽  
Taylor Instability ◽  
Normal Electric Field ◽  
Rayleigh Taylor Instability

scholarly journals Study on Electrohydrodynamic Rayleigh-Taylor Instability with Heat and Mass Transfer

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Mukesh Kumar Awasthi ◽  
Vineet K. Srivastava
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Electric Field ◽  
Heat And Mass Transfer ◽  
Taylor Instability ◽  
Wave Number ◽  
Physical Parameters ◽  
Tangential Electric Field ◽  
Rayleigh Taylor Instability ◽  
The Stability

The linear analysis of Rayleigh-Taylor instability of the interface between two viscous and dielectric fluids in the presence of a tangential electric field has been carried out when there is heat and mass transfer across the interface. In our earlier work, the viscous potential flow analysis of Rayleigh-Taylor instability in presence of tangential electric field was studied. Here, we use another irrotational theory in which the discontinuities in the irrotational tangential velocity and shear stress are eliminated in the global energy balance. Stability criterion is given by critical value of applied electric field as well as critical wave number. Various graphs have been drawn to show the effect of various physical parameters such as electric field, heat transfer coefficient, and vapour fraction on the stability of the system. It has been observed that heat transfer and electric field both have stabilizing effect on the stability of the system.

A Phase Field Modeling Study of the Rayleigh-Taylor Instability Subject to a Horizontal Electric Field

2013 ◽  
Author(s):  
Qingzhen Yang ◽  
Zhengtuo Zhao ◽  
Ben Q. Li ◽  
Yucheng Ding
Keyword(s):  
Electric Field ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Taylor Instability ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Dielectric Fluids ◽  
Fortran Code ◽  
Rayleigh Taylor Instability

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.

scholarly journals The linear growth rate of Rayleigh–Taylor instability in ionospheric F layer

2019 ◽  
Author(s):  
Kangkang Liu
Keyword(s):  
Growth Rate ◽  
Electric Field ◽  
Continuity Equation ◽  
Linear Growth ◽  
Taylor Instability ◽  
Linear Growth Rate ◽  
Charge Accumulation ◽  
Ionospheric Layer ◽  
Physical Description ◽  
Rayleigh Taylor Instability

Abstract. It is generally considered that the perturbation electric field generated by the charge accumulation caused by the current divergence is the driving force for Rayleigh–Taylor instability (RTI) in plasma. However, in previous calculation of the linear growth rate of RTI the current continuity equation was applied, which means the contribution of charge accumulation to the growth of RTI was ignored. Applying the perturbation electric field and the current continuity equation simultaneously in calculating the linear growth rate of RTI of the ionospheric F layer will give erroneous results. In this paper, we calculated the linear growth rate of RTI with the standard instability analysis method. The charge conservation equation was used in the calculation instead of the current continuity to study the contribution of charge accumulation to the growth of RTI. The results show that the contribution of charge accumulation to the linear growth rate of RTI is proportional to the ratio of Alfvén speed to the light speed. In ionospheric F layer the ratio is small, the contribution of charge accumulation to the growth of RTI is negligible. This indicates that the previous physical description of the RTI in the ionospheric F layer is wrong and a new physical description of RTI is needed. In the new physical description perturbation electric field and charge accumulation is not the cause, but the result of RTI. In ionospheric layer, background electric field and neutral wind velocity have no effect on the linear growth rate of RTI.

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