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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# Supercharging a Single Cylinder FSAE Engine

Supercharging a Single Cylinder FSAE Engine

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