|Quoting tdscanuck (Reply 1):|
But, on most aircraft, the nosewheel steering is on the center system which has no direct engine source (center is usually driven by some combination of electric and pneumatic pumps). It's extremely unlikely that all hydraulics were lost, just the circuit powering the nosewheel steering.
On the A330 the NWS is powered by the green hydraulics, with an EDP on each engine, even in the face of an engine failure, the green system remains powered.
I suspect it would have been an electrical command for the steering selector valve to close. This may have been from another fault, e.g. landing gear sensor failure after a heavy landing, or a checklist asked for it to be turned off. The OP does not have enough detail to pin it down.
I could have been a simple matter of pilot error., taking a corner too fast when wet, or not using over-steer.
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