The prefix “turbo-” traditionally denotes “turbine”, as in turboprop or turbofan aircraft engines. In fact an automotive turbocharger gets its name from the fact that it’s powered by a small turbine getting its energy from the flow of exhaust gases.
A “regular” turbo is two fans connected by a shaft…a turbine, and a compressor.
If a tesla turbine was connected to another multidisc, could that multidisc draw in air as a compressor?
Yes. It’s been done. But it’s a fan, not a compressor, producing high velocity air. Tesla’s original concept relied on the Tesla Valve to maintain combustion pressure.