Critical magnetic field of Rayleigh-Taylor instability in two-dimensional incompressible viscous two-phase flow
The RT instability for two immiscible,incompressible,viscous fluid and magnetic fluid with zero resis-tivity is discussed.The Lorentz force in the magnetic field is rewritten by flow mapping in the Lagrangian coordi-nate system.The linear equations are obtained by linearizing near the steady-state solution.In order to study the stability of the fluid,the normal mode solution is used to transform the problem into an eigenvalue problem.Be-cause the fluid is viscous,the modified variational method is used to solve the eigenvalue problem,and the criti-cal magnetic field and critical frequency of the system stabilized by vertical magnetic field in two-dimensional case are obtained.When the given magnetic field is greater than the critical magnetic field,the system is stable;when the given magnetic field is less than the critical magnetic field,the system is still stable at low frequency,but unstable at high frequency.
two-phase flowRT instabilitycritical magnetic field
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