The math looks good to me, but can You superenginebuilderextraordinaire’s check it for errors in theory.
To figure VE of an engine in a given application, You’ll need to run a test of airflow. To keep it simple, run the engine @ 7k rpm while measuring the amount air drawn into the intake manifold (lb/min or cfm), and the temperature of the air (IAT).
Now, bear with me:
Density: t1 / t2 = d2 / d1
- t1 = temp for air of know density (32* F @ 0.0808 lb/ft^3) in Rankin
- t2 = IAT (in degrees of Absolute Rankin, F* + 459.67)
- d1 = density of air for known temperature (0.0808 lb/ft^3 @ 32* F)
- d2 = Density of intake air charge
Volumetric Flow Rate: AVF = Mfa / d2
- AVF = Actual Vol. Flow Rate (calculated)
- Mfa = Mass air flow actual (measured)
- d2 = air density actual (measured)
Calculating Theoretical Max Airflow (cfm): TAF = (EDRPMVE) / (ES*C)
- rpm = Operating engine speed
- TAF = theoretical airflow
- VE = Vol. Efficiency (100% theoretical)
- ED = Engine Displacement (in^3)
- ES = Engine Stroke (2-stroke = 1 / 4-stroke = 2)
- C = conversion factor from in^3 to ft^3 (1728)
Calculating Volumetric Efficiency: (AVF/TAF)*100
- VE = Vol. Efficiency (calculated)
- AVF = Actual Vol. Flow Rate (calculated) (ft^3/min)
- TAF = Theoretical Airflow rate (calculated) (ft^3/min)
So, we have our shit tested. We come up with: 17.14 lb/min --OR-- 243.8 cfm @ 7000 RPM with our 122 (in^3) engine. The IAT was reading 72* F.
Now, giterdone:
- Density: t1 = (32+459.67) = 491.67; t2 = (IAT+459.67) = 531.67; d1 = 0.0808. So: 491.67/531.67*.0808 = 0.0747.
- AVF: 17.14/.0747 = 229.43.
- TAF: rpm = 7000; Displacement = 122. So: (12270001)/(2*1728) = 247.11
So, 229.43/247.11 = 0.9284 or 93% VE @ 7000rpm.
That about right?
Thanks,
-Nick