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On Instability of Electrically Forced Jets and Application in Electrospinning

N. J. Carrasquero, D. N. Riahi


This paper considers the problem of linear instability of electrically forced axisymmetric jets with respect to temporally growing disturbances. A mathematical model, which is developed for the variables of such disturbances, is based on the relevant approximated versions of the equations of the electrohydrodynamics for an electrically forced jet flow. The approximations include the assumptions that the length scale along the axial direction of the jet is much larger than that in the radial direction of the jet and the disturbances are axisymmetric and infinitesimal in amplitude. For linear instability case, we find modes of instabilities for both zero and non-zero background free charge density. Non-zero background free charge density is admitted only under an externally imposed non-uniform electric field. We found, in particular, that for either uniform or non-uniform field, instability modes with different domain in their wavelengths are dominated.


jet flow, electric field, jet instability, axisymmetric jet, electrohydrodynamic instability.

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