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1) Very inefficient use of the exhaust gas energy, the exhaust gas temp is much lower by the time it reaches the rear of the car where the turbocharger is mounted, I've tried this approach on a number of different cars over the last 20 years, the result is always the same, very poor.
2) It's very easy for the turbocharger to be stolen from the rear of the car.
3) The discharge air ducting is at least 10 to 12 feet from the inlet manifold, the pressure drop is very ugly hence poor engine response and power.
4) The air cleaner element is in a very vulnerable position in terms of dust, water and, and other road debris.
5) The turbos lubricating oil has to be plumbed from the engine and then pumped back to the engine in most instances, a lot of unnecessary plumbing to have floating around under the car.
There are more good engineering reasons though these are the main reasons that come to mind, not a good approach to turbocharging imho, and I've had practical experience with this approach. :headshake:
Peter