The unsteady Bernoulli's equation
for any points on the moving boundaries of the liquid domain in the Lagrangian form is given:
Plastic tanks with different orifice sizes and a plastic tank with various copper pipes were used to experimentally measure drainage time of water; drainage time was theoretically calculated through an equation derived from Bernoulli's equation
, which is consequently bound by the same assumptions that Bernoulli's equation
is (no friction and for an ideal fluid).
For cross sections 2-2 and 3-3 extended Bernoulli's equation
, which includes an energy losing due to friction, is represented in the form
Using the hydrostatic pressure equation at arbitrary height, z, and the Bernoulli's equation
for velocity, the mass flow rate from compartment i to compartment j through an opening is given by
(Equation 5) states the change in pressure, kinetic energy, and potential energy is equal to the mechanical energy ([delta][W.
states that the sum of static and dynamic pressure equals the total pressure at a location.
In a similar manner that conservation of mass links areas and velocities, Bernoulli's equation
links velocities and static pressures, when applied to a diffuser or a nozzle.
The second method was a spreadsheet solution based on Bernoulli's equation
and a momentum balance in one-dimension, henceforth, 1-D.
It is governed by the simple gravity form of Bernoulli's equation
The authors said current runner systems are troublesome because gating design calculations make intensive use of Bernoulli's equation
and the law of continuity.