It is not trivial to calculate the droplet velocity emanating from the Taylor cone breakup in a typical electrospray application.
There are different scaling available which take into consideration balance between the applied electrical field, surface tension force and viscous force that determines the Taylor cone-jet stability hence formation of the droplets from jet breakup. The minimum flow rate scaling could be found in:
Scheideler and Chen, 2014, The minimum flow rate scaling of Taylor cone-jets issued from a nozzle. Applied Physics Letters 104, 024103, pp.1-4.
This is however only the volume flow rate and needs to be divided by the jet diameter to obtain the jet velocity. It should be noted that the actual nozzle diameter is much larger than the jet diameter hence should not be used to determine the cross sectional area.
A time-of-flight and energy analysis technique could be found in the below reference where the droplet velocities were measured for different electrical conductivity of the fluid. Please see Table 2 of this reference.
Gamero-Castano and Hruby, 2002, Electric measurements of charged sprays emitted by cone-jets, J. Fluid Mech., vol. 459, pp.245-276.