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).
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.
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.
Chapter 3: Bernoulli's equation
and energy considerations
Each component's influence on the total filter resistance was then formulated through the use of Forchheimer-extended Darcy's Law, Bernoulli's equation
, and the equation of continuity.