The problem of instability of electrically forced axisymmetric jets with respect to temporally growing disturbances is investigated computationally. We derive a dispersion relation based on the relevant approximated versions of the equations of the electro-hydrodynamics for an electrically forced jet flow. For temporal instability, we find in the realistic cases of the non-zero basic state velocity that the growth rate of the unstable mode is unaffected by the value of the basic state velocity. However, the non-zero value of the basic state velocity affects significantly the period of the unstable mode in the sense that it decreases the period, and the rate of increase of the frequency with respect to the axial wave number increases with the basic state velocity. It is also observed from numerical investigations that there are two modes of instability for small values of the wavenumber.
Bhatta, Dambaru; Das, Sayantan; and Riahi, Daniel N.
On Temporal Instability of Electrically Forced Axisymmetric Jets with Variable Applied Field and Nonzero Basic State Velocity,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 6,
1, Article 3.
Available at: https://digitalcommons.pvamu.edu/aam/vol6/iss1/3