Related Resources: vibration

Tanks With Connecting Conduit Angular Natural Frequency Equations and Calculator

Machine Design and Engineering

Tanks With Connecting Conduit Angular Natural Frequency Equations and Calculator

ω_n = [ 9 ( 1 + S₁ / S₂ ) / ( h ( i + S₁/S₂ + i ( S₁/S_o ) ] ^(1/2)

Where:

g = Gravity 32.2 ft / sec²
S₁ = Area (Cross Sectional) of Tank 1 (ft²),
S₂ = Area (Cross Sectional) of Tank 2 (ft²),
S_o = Area (Cross Sectional) of Conduit (ft²),
h = Height / Depth ( ft ),
i = Distance Between Tanks (ft),
ω_n = Angular Natural Frequency ( rad/sec or Hz)

1 rad/sec = 1/( 2π ) Hz

Related and Useful Links:

• Hydraulics and Pneumatics Engineering and Design
• Fluids Flow Design and Engineering

Reference Harris, Shock and Vibration Handbook