Daniel Bernoulli's Theorem:

 

 

 

 

 

 

[The sum of the energies: pressure , kinetic (velocity) and potential at one point is equal to any other point in the stream].

 

 

where is the mass of fluid considered, is the density of the fluid,

and are the pressure, speed and height at one point in the stream,

and are the pressure, speed and height at another point.

 

What Bernoulli's equation really says is that fluid flow has three forms for its energy and that as long as that fluid flow flows smoothly and without significant friction through a system of stationary obstacles, the sum of those three energies can't change. The three energies are kinetic energy (the energy of motion), gravitational potential energy, and an energy associated with pressure that may be called pressure potential energy. The obstacles must remain stationary so that they can't do work on the fluid flow and thus change its total energy. Since the sum of those three energies doesn't change as fluid flow flows through a stationary environment, its pressure typically falls whenever its speed rises and vice versa. If the fluid flow also changes altitude significantly, then gravitational potential energy must be included in these energy exchanges.


 

density

 

Pressure

 

Acceleration

 

Distance

 

Work

 

Force

F= ma

 

Kinetic Energy

w = 1/2 * m * v2 - 1/2 * m * v02:

 

psi

 

velocity

The reason for this page is: I am convinced that a relation can be derived, with some constraints, showing a given Pressure produces a flow volume. As a pump works, a gage mounted in the discharge pipe shows a pressure and a flowmeter also mounted downstream shows the volume/time. Help me and email me the answer.

From a book Sonny Truesdale loaned me:

Discharge of pipes in gpm, free discharge from horizontal straight pipes against no backpressure (no valves or fittings included): 17 year pipe: C = 100.

Lbs./Sq. In.

Size

Length in Feet

25

50

100

200

400

10

20

40

60

80

100

3"

575

395

270

185

130

835

575

395

270

185

1215

835

575

395

270

1515

1040

715

490

340

1765

1215

835

575

395

2010

1370

945

650

445

Pressure on a body of fluid is created by molecules bouncing off each other. Just like a ball hitting and pushing
a sheet hanging on a clothes line. If there less pressure on one side of a body of fluid, then the molecules head
in the direction of least resistance.




 http://physics.bu.edu/py105/notes/Bernoulli.html

 

 

 

 

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