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Pressure Generator

02/15/2009 1:06 PM

Pressure Generator

The picture is of a pressure generator, the fluid chamber is filled with a liquid of oil base ((examples) automatic transmission fluid, hydraulic oil, vegetable oil), and it is connected and driven by a D.C. motor. The RPM is varied to achieve desired pressure force acting on the pressure generator containment peripheral. The pressure generator contains radial dividers to assure fluid is rotated in unison with the body.

How would one go about calculating the pressure (PSI) generated when in rotation?

Variables: RPM

Specific Gravity of fluid

Diameter of generator

I considered centrifugal force but this only defines a mass at the outer edge and does not take into account the contributing force excreted by fluid weight from the center to the peripheral, ((example) A diver sees a pressure increase of 1 atmosphere for every 33 feet of depth dived).

This is not homework but the first step of defining the operating conditions/ limitations of an idea I have.

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Guru
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#1

Re: Pressure Generator

02/16/2009 12:41 AM

Is the subject equipment a 'centrifugal pump or liquid ring compressor/vacuum pump'?

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Guru
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#2

Re: Pressure Generator

02/16/2009 1:46 AM

How do you want to use the pressure generated and where will you tap into this pressure, is the pump going to do useful work?? is it an enclosed transmission drive with reaction blades??

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Guru

Join Date: Mar 2007
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#3

Re: Pressure Generator

02/16/2009 9:42 AM

In order to answer your question without regard to what you want to do:

required: smallest radius where the fluid is moved, outer radius, specific mass. All units have to be correlated.

dp= dm*r*ω^2 dm= 2*π *r*dr*ρ

thus dp= 2*π *ω^2*ρ*r^2*dr

you integrate it from rmin to rmax and get the value you want.

Δp= 2/3*π *ω^2*ρ*(rmax^3-rmin^3)

Pressure difference between rmin and rmax at flow =0

Hope it will help.

ω = rotational speed in radians/second

ρ = specific mass of fluid.

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Member

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#4
In reply to #3

Re: Pressure Generator

02/22/2009 8:54 AM

I've looked through my math and available engineering reference books and request some clarity. I'm unsure of the symbolism in the equation.

The meanings or representation of:

d is:

p is:

m is:

^ is:

r is:

n is: pie?

Once I have an understanding of the terms, I should be able to figure out the numbers needed.

Thanks

Kid73049

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Guru

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#5
In reply to #4

Re: Pressure Generator

02/26/2009 12:06 PM

Sorry for delay but I was out of town (even country) so that it was not possible to answer.

I will answer using my 1st message as base.

dp= dm*r*ω^2 dm= 2*π *r*dr*ρ

thus dp= 2*π *ω^2*ρ*r^2*dr

dp= pressure difderential generated vetween 2 radiuses at "dr" difference

dm= mass element

r= current radius

ω= rotational speed in rad/sec

π= PI ( unfortunately the character is not the best )

ρ= specific mass

you integrate it from rmin to rmax and get the value you want.

Δp= 2/3*π *ω^2*ρ*(rmax^3-rmin^3)

Pressure difference between rmin and rmax at flow =0

Hope it will help.

ω = rotational speed in radians/second

ρ = specific mass of fluid.

Hope all is now clear.

Rgards

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