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Supercharging a Single Cylinder FSAE Engine

Supercharging a Single Cylinder FSAE Engine
by

Samuel Steele

on 28 November 2012

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Transcript of Supercharging a Single Cylinder FSAE Engine

Supercharging a Single Cylinder FSAE Engine Main Assumptions incompressible flow compressibility factor "Z" critical temperature of air - 238 °R K= 1.4
T1= 100 °F (560 °R) The restrictor must be placed upstream of the compressor but after the carburetor or throttle valve.
Thus, the only sequence allowed is throttle, restrictor, compressor, engine. 2013 Formula SAE® Rules P = Pressure
T = Temperature
K = Ratio Specific Heats (Cp/Cv) ideal gas
constant specific heat steady state
no slip condition
isentropic compressor Assumptions:
density, height, gravity = constant Increasing cross sectional area decreases fluid velocity
This converts the energy into additional pressure

Bernoulli's Stream Line Equation Decrease in velocity
=Increase in pressure K= 1.4 T1= 100 °F (560 °R) 20mm mandated restrictor
Dall slot style, theoretical max = 0.075kg/sec = ~0.0662Kg/sec
88% of Theor. Max Assumptions:
full developed portion
Non-choked flow laminar
symmetric about long axis Integrate
Boundary conditions Integrate again
Multiply by area
Yields volumetric flow Navier Stokes Equation Unknowns:
Pressure Gradient
Cross Sectional Area
Average Velocity Volumetric Flow Rate = 0.06122 m^3/s What if the flow is turbulent
instead of laminar? Reynolds number: 5*(10^4) to around 2*(10^5)
Friction Factor: 0.017 to 0.023. Reynolds number vs. supercharger inlet diameter ` Supercharging a Single Cylinder FSAE Engine Mason Chilmonczyk
Samuel Steele Mason Chilmonzyk
Samuel Steele Note: This is a first order approximation Average Velocity vs Inlet Diameter
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