BeaverGuy
06-08-2006, 09:03 PM
I decided to start a new thread because this really doesn't belong in the other one.
First off if you want to find info about the effect of plenum size on restricted naturally aspirated motors you can read Catching Breath in Issue 2 Volume 1 of Race Engine Technology. In short Gordon Blair set up a series of simulations to see what variables affected power output the most. The simulations were with a 1L sport bike motor, and for the plenum variations it used a 27.5mm diameter restrictor. Increasing the plenum from 10L to 16L netted an ~3% increase in steady state peak power. Not great but considering that it would be akin to the typical FSAE engine increasing plenum sizes from 6L to 9.6L when we currently see maybe a 4L max it would certainly increase power numbers. We don't run plenums that large now because throttle response would be poor with that large a throttled volume, with ITBs it would become a packaging issue only.
Okay, I made a simple spread sheet that shows the transient airflow for an engine with a given VE/RPM relationship assuming a pressure build up in the plenum. Other key inputs are plenum volume, initial plenum pressure, displacement, and air inflow rate. It is located here. (http://home.comcast.net/%7Ejoshuagillett/airflow.xls)
Assumptions:
T (temp) is constant
VE is directly proportional to Plenum Pressure.
72 g/s of air = 95 HP, I used this to give an idea of what transient power might be.
Constant supply of air to plenum at 72 g/s, I can see this being done with a couple different types of compressor schemes. I didn't try to make this applicable to NA engines because I don't have the time and an engine simulation would give a better idea with less time input.
Eqns:
Outflow=RPM/60*displacement/2*VE*P/Pref*rho
PV=nRT and variations of that equation.
delta n=(outflow -inflow)/M *(delta t)
HP=Outflow/inflow*95
Other notes:
Outflow is air going from the plenum to the engine. Inflow is air from the atmosphere to the plenum.
The VE curve I supplied was corrected back to a plenum pressure of 1 atm to simplify mass calculations. Also, this curve is for an NA motor that was setup to make peak torque in the 7000-9000 RPM range so it would vary from what a turbo application would warrant. The places where VE is 1 are points tha I didn't have data for.
I used a fixed value for the density of air this is taken care of by the fact that any time air masses are calculated the plenum pressure is divided by the reference pressure.
First off if you want to find info about the effect of plenum size on restricted naturally aspirated motors you can read Catching Breath in Issue 2 Volume 1 of Race Engine Technology. In short Gordon Blair set up a series of simulations to see what variables affected power output the most. The simulations were with a 1L sport bike motor, and for the plenum variations it used a 27.5mm diameter restrictor. Increasing the plenum from 10L to 16L netted an ~3% increase in steady state peak power. Not great but considering that it would be akin to the typical FSAE engine increasing plenum sizes from 6L to 9.6L when we currently see maybe a 4L max it would certainly increase power numbers. We don't run plenums that large now because throttle response would be poor with that large a throttled volume, with ITBs it would become a packaging issue only.
Okay, I made a simple spread sheet that shows the transient airflow for an engine with a given VE/RPM relationship assuming a pressure build up in the plenum. Other key inputs are plenum volume, initial plenum pressure, displacement, and air inflow rate. It is located here. (http://home.comcast.net/%7Ejoshuagillett/airflow.xls)
Assumptions:
T (temp) is constant
VE is directly proportional to Plenum Pressure.
72 g/s of air = 95 HP, I used this to give an idea of what transient power might be.
Constant supply of air to plenum at 72 g/s, I can see this being done with a couple different types of compressor schemes. I didn't try to make this applicable to NA engines because I don't have the time and an engine simulation would give a better idea with less time input.
Eqns:
Outflow=RPM/60*displacement/2*VE*P/Pref*rho
PV=nRT and variations of that equation.
delta n=(outflow -inflow)/M *(delta t)
HP=Outflow/inflow*95
Other notes:
Outflow is air going from the plenum to the engine. Inflow is air from the atmosphere to the plenum.
The VE curve I supplied was corrected back to a plenum pressure of 1 atm to simplify mass calculations. Also, this curve is for an NA motor that was setup to make peak torque in the 7000-9000 RPM range so it would vary from what a turbo application would warrant. The places where VE is 1 are points tha I didn't have data for.
I used a fixed value for the density of air this is taken care of by the fact that any time air masses are calculated the plenum pressure is divided by the reference pressure.