Free surface problem in electrohydrodynamics

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SUMMARY

The discussion centers on the relationship between bulk charge density and surface charge in electrohydrodynamics (EHD). It is established that a constant bulk charge density does not inherently produce a surface charge; however, fluid motion can lead to the accumulation of surface charge. The participants reference the Euler equations and Maxwell's equations to analyze the electric fields inside and outside the fluid medium. The conversation highlights the importance of calculating electric displacements and the conditions under which surface charge may be considered negligible.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Familiarity with Euler equations in fluid dynamics
  • Knowledge of electrohydrodynamics (EHD) principles
  • Basic concepts of electric displacement fields
NEXT STEPS
  • Research the implications of fluid motion on surface charge accumulation in EHD
  • Study the application of Gauss' Law in electrohydrodynamic systems
  • Explore the modeling of turbulent flows in charged liquids
  • Investigate the relationship between electric fields and charge distribution in EHD
USEFUL FOR

Researchers and engineers in the fields of electrohydrodynamics, fluid dynamics, and electrical engineering, particularly those focusing on the behavior of charged fluids and their applications in industrial processes.

  • #31
renormalize said:
So do you agree that the authors meant to write ##\nabla## and that their eq.(2) is therefore not nonsense?
I don't know. It's certainly something that I'm not going to be concerned about when I deal with variable charge density, although I am curious where the term ##\rho_{v}\mathbf{u}## comes from. That would couple the variable charge density very nicely.
 

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