A Free surface problem in electrohydrodynamics

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The discussion centers on the relationship between bulk charge density in an electrified fluid and the potential formation of surface charge. It is established that while a constant bulk charge does not inherently produce surface charge, fluid motion can lead to surface charge accumulation. The electric field inside and outside the fluid is influenced by the charge distribution, and the continuity of electric displacement fields at the boundary is crucial. The conversation also highlights the need for a comprehensive approach to model the dynamics of the free surface and any associated surface charge. Ultimately, the interaction between fluid motion and electric fields is key to understanding surface charge behavior in electrohydrodynamics.
  • #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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