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Vortex ring state on an F35?
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VRS is simply a rotor re-injesting air that already has a downward velocity component. If the downward velocity component is high enough the rotor is unable to accelerate the air flowing through the rotor enough to generate the required amount of thrust. No reason it can't happen to a shrouded fan or a jet engine.
The heavier the disk loading the higher the downwash velocity is. A jet engine might make 20k lbs of thrust and is 2 feet diameter while a blackhawk hovering at 20k lbs makes the same thrust over it's 54 foot diameter rotor. The jet exhaust could be supersonic while the blackhawk rotor exhaust might be 50mph. A 10mph velocity increase in the air each is injesting has a huge effect on the blackhawk (20% thrust loss) while the jet engine barely notices it(1-2% thrust loss).
The f35 lift fan is shrouded and has a significantly higher disk loading than even a v22. It will never fly vertically more than a few dozen feet and I assume it has vertical velocity limits programmed into the flight controls. So nobody is concerned about it.
Besides, it will auto-eject you if there is a problem with the lift fan. So what could possibly go wrong?