Sorry for the long post, but I think it is about time we got a bit realistic here rather than using extremes to push agendas or support arguments.
I think it is beyond doubt that there are inherent real dangers with a throttle downstream of a positive displacement blower
I also think it is beyond doubt that a very large volume between the throttle plate and the the inlet valves seriously hurts the drivers ability to adequately control engine power in critical situations.
I think it should be easy to agree that where we most need instant response to a closing throttle, we can also least tolerate a stuck open or broken throttle.
I think it is also easy to agree that budget, existing components, class or government rules and application or intended use all play a major part.
If I where to set up a twin charger right now for my daily driver, I would be inclined to mount a fairly small supercharger directly on a shortish inlet manifold with the minimal plenum that does not significantly inhibit air flow.
I would have the throttle plate mounted directly to the supercharger inlet flange with water injection at that point.
I would have a fairly large turbo inter cooler etc upstream of that.
I would have the waste gate triggered by manifold pressure close to the inlet port on the cylinder that required most fuel to avoid a lean out.
If the budget was available I would replace the water injection with a small sandwich plate water to air inter cooler.
I have driven enough blown cars to know that a manifold mounted large blower with a manifold with large runners, medium sized plenum in the manifold and a medium sized plenum in the hat and VERY large throttle plates has no discernible delay on closing the throttle, certainly no more than a heavy flywheel or a dash pot or damper on the throttle plate. Dash pots or heavy flywheel have both been std practice in the past.
If for some reason I needed to have a large volume between the supercharger and the inlet valve, I would use a throttle as close as possible to the valve, but I would have a very simple reliable safety device incorporated, just like I always use dual return springs to different points if possible, as close to the throttle as possible.
While gruntgurus sums are very obviously flawed, a closed throttle does not flow much air as not much is required for idle. I can't be bothered trying to calculate the airflow past a typical throttle body at idle vs WOT. Matty, I suspect you have plenty of examples of fuel flow at stable warm idle vs WOT at high rpm. I expect only a few %age points.
It is pretty obvious that as the engine empties the manifold against a closed throttle a little air is leaking in for idle and the VE drops of quite a bit as the manifold pressure drops, so the closer it gets to idle MAP, the slower it approaches it. Same as you open the throttle, you do not get to full boost with one turn of the blower as the engine is consuming air as you over supply it and the usage rate increases as boost builds, so while it gets to 50% boost real quick and 80% boost pretty quick, it takes about 1 to 2 seconds to reach full boost.
On acceleration with a large roots blower, this delay to reach full boost is rarely a concern as you often actually have more boost than you want as the throttles open.
Regards
Pat
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