I am confused by your comment " I would like just to know if how or whether arcing can occur in the humid air flow if the intensity of the electric field that develops in the flow of the humid air is higher than it's breakdown voltage?"
How do you define "breakdown voltage"?
I.e. "Although air is normally an excellent insulator, when stressed by a sufficiently high voltage (an electric field strength of about 3 x 106 V/m or 3 kV/mm), air can begin to break down, becoming partially conductive."
Basically you are asking if the breakdown voltage (Voltage where arcing occurs) is it's breakdown voltage?
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In your diagram, you have 2 dielectric materials, the Air counts as one. The breakdown voltage is the where the energy stored in the material, proportional to its dielectric constant, exceeded it dielectric strength. Even though no conventional current flows, this is essentially a voltage divider.
For a static system most of this can be calculated easily. The trick here, IMO, will be the affects of the FLOW. As turbulence has peculiar impacts on moisture distribution, heat, and pressure -- all of which will affect both Dielectric constant and strength. AND lastly - turbulence is chaotic - so not predictable.