Related Resources: hydraulic

Force of a Fluid On Vessel Planes Equations

Fluids Engineering and Design
Hydraulic Design and Engineering

Hydrostatic Pressure Force of a Fluid On Vessel Planes Equations

The hydrostatic force of pressure F is that force which is exerted on the wall by the fluid only - i.e. without consideration of pressure p₀.

Hydrostatic Pressure Force of a Fluid On Vessel Planes Equations

F = g δ y_s A cosα = g δ h_s A

y_D = I_x / ( y_s A ) = y_s + I_s / ( y_s A )

x_D = I_xy / ( y_s A )

Where:

g = Gravity (32.2 ft/sec²),
δ = density (lb/ft³),
h_{h, s} = Depth (ft),
I_x, I_s = Moment of inertia,
I_xy = Product of inertia of plane A referred to the x and y-axis.

Reference:

K. Gieck, Technische Formelsammlung, 29th edition, Gieck Verlag, Heilbronn

• Fluid Flow Regimes Review
• Fluid Mechanics and Machinery