Engineering >> Chemical & Biomedical Engineering

Flow Rate of a Cylindrical Tank

by Elizabeth Kenworthy


Submitted : Spring 2014

We wish to design a cylindrical tank with the following characteristics:

Flow rate Q_0 = 0.0004 m^3/s when the tank is half full

Tank radius = 2 m

We desire the flow rate to be at least 80% of the half-height value for a period of 4 hours.

Find the orifice areas A_0(m^2) and tank length that satisfy these constraints.

The flow rate out of the tank is given by a modification of Torricelli’s equation:

Q_0=怖-A怗_0 C_d √rgh

Where A_0 is the orifice area, h is the liquid level height, C_d is the discharge coefficient (Cd=0.6) and g is the gravitational constant (g = 9.8 m/s^2)



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Advisors :
Arcadii Grinshpan, Mathematics and Statistics
Scott Campbell, Chemical & Biomedical Engineering
Suggested By :
Scott Campbell