It sounds like the turbine housing you have might be cut for a larger turbine wheel than what is on the turbo you just got. But to answer your question, Yes, typically on PTE turbos there will be an engraved series of part numbers located on the compressor covers discharge outlet. The compressor cover is the aluminum cover that channels the air around the compressor wheel. See this picture.
If you have these numbers, I can help you ID what it is. If for some reason the numbers are not there which can happen in cases where the compressor cover has been polished and the numbers were wiped away, there are other numbers CNC cut on the back side edge of the compressor cover, located behind one of the backing plate clamps. See picture of the backing plate clamp.
Carefully take the backing plate clamp off and look for numbers like this,
CCE60, CCE44, CCA49, CCA60, CCA52, CCE61 etc, etc. CCE means it is a TO4E style compressor cover with the integrated inlet bell like in my picture above. CCA means it is a stock appearing compressor cover.
If this fails and you find no numbers, then chances are it was not originally a PTE turbo, but possibly built by another turbo company that uses PTE parts. If this is the case, you can take inducer and exducer measurements of the turbine wheel and refer to PTEs website which lists inducer and exducer measurements on all the turbos turbine wheels that they sell for the Buicks.
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The inducer on a turbine wheel is the largest diameter of the turbine wheel, generally where the wheel is the closest to the bearing housing. The exducer on a turbine wheel is generally just before the discharge opening of the turbine housing and is typically smaller than the inducer.
With regards to Inducer and exducer on compressor wheels, the opposite is true. Typically the Inducer is larger than the exducer on a compressor wheel.
If all this fails, you might want to think about sending the turbo in to one of the reputable turbo shops that specialize in Buick turbos. PTE, Limit Eng, Forced Inductions, etc.
Hope some of this helps.
Patrick