Previous in Forum: Boiler air heater in air and gas system   Next in Forum: Torque required
Close
Close
Close
13 comments
Rate Comments: Nested
Participant

Join Date: Mar 2007
Posts: 1

Fluid flow velocity and Pressure calculation

03/29/2007 1:30 AM

Hai, the inquisitive brains!

Is it possible to calculate the Pressure exerted by the fluid flowing through a pipe if the pipe diameter, volume of flow and Velocity are known? For eg. Pipe dia is 100 mm, Flow is 200 cu.m/hr and velocity 2.0 m/s and what is the pressure on the wall of the pipe?

Register to Reply
Interested in this topic? By joining CR4 you can "subscribe" to
this discussion and receive notification when new comments are added.
Power-User
United States - Member - USA Engineering Fields - Control Engineering - Never enough money

Join Date: Feb 2007
Location: Oregon
Posts: 292
Good Answers: 4
#1

Re: Fluid flow velocity and Pressure calculation

03/29/2007 1:50 PM

Using your pipe diameter and velocity I came up with a flow rate of 56.55m3/hr not 200m3/hr. Granted I could have made a mistake in the math so I welcome a double check.

V=A (√2gh) velocity equals area times the squareroot of two times gravity times head.

v= velocity

A= area

g=gravity

h=head

Solve for h and this should get you close to the answer you seek. You will still need to do a little converstion work depending on the units of measure you want for pressure.

See http://en.wikipedia.org/wiki/Bernoulli%27s_equation for more information.

Register to Reply
Guru
Popular Science - Biology - New Member Hobbies - Musician - New Member APIX Pilot Plant Design Project - Member - New Member Hobbies - CNC - New Member Fans of Old Computers - ZX-81 - New Member

Join Date: Jan 2007
Location: Centurion, South Africa
Posts: 3921
Good Answers: 97
#2

Re: Fluid flow velocity and Pressure calculation

03/30/2007 1:42 AM

The pressure of the pipe is a function of many things (but not velocity)

Outlet pressure, static above point , friction above point.

Closed valve pressure must also be considered with the choice of pipe class.

Example if the zero flow pressure of a pump is X the pressure at a specific point will be x - delta static.

Water hammer must also be considered.

__________________
Never do today what you can put of until tomorrow - Student motto
Register to Reply
Power-User

Join Date: Nov 2005
Posts: 116
Good Answers: 7
#5
In reply to #2

Re: Fluid flow velocity and Pressure calculation

03/30/2007 11:59 AM

Actually, pressure is related to velocity if you refer to good old Bernoulli:

(p1/γ) + [(V1)2/2g] + Z1 + ha - hr - hl = (p2/γ) + [(V2)2/2g] + Z2

where P=pressure, γ=gamma or specific weight of fluid, g=gravity, Z=elevation, h=head lost or head added or head removed.

As you can see, the second "chunk" represents the velocity head which is usually minumal and almost negligable in a lot of cases, but it is still there.

Perhaps you are speaking only in regards to static situations, but the original question was referring to flow.

__________________
Once everyone is super, no one will be. - "Incrediboy"
Register to Reply
Guru
Popular Science - Biology - New Member Hobbies - Musician - New Member APIX Pilot Plant Design Project - Member - New Member Hobbies - CNC - New Member Fans of Old Computers - ZX-81 - New Member

Join Date: Jan 2007
Location: Centurion, South Africa
Posts: 3921
Good Answers: 97
#9
In reply to #5

Re: Fluid flow velocity and Pressure calculation

04/02/2007 4:06 AM

Yes it is true but minimal.

There is another effect that need consideration.

The pressure reduces relative to velocity.

It is possible to control the flow in a system by using this principle.

Made a venturi flow controller about 30 years ago. My memory is not what it used to be but i will consult my notes if i can remember where it is stored.

__________________
Never do today what you can put of until tomorrow - Student motto
Register to Reply
Power-User

Join Date: Nov 2005
Posts: 116
Good Answers: 7
#10
In reply to #9

Re: Fluid flow velocity and Pressure calculation

04/02/2007 8:47 AM

Yes it is true but minimal.

There is another effect that need consideration.

The pressure reduces relative to velocity.

I'm not sure what you mean, if first you say it is minimal, then immediately you state that velocity is factor when dealing with pressure

__________________
Once everyone is super, no one will be. - "Incrediboy"
Register to Reply
Commentator

Join Date: Feb 2007
Posts: 57
#3

Re: Fluid flow velocity and Pressure calculation

03/30/2007 9:32 AM

no

Register to Reply
Guru

Join Date: Mar 2007
Location: City of Light
Posts: 3943
Good Answers: 183
#4

Re: Fluid flow velocity and Pressure calculation

03/30/2007 11:07 AM

There are not enough data to give you an answer. In fact the pressure at a point when there is a flow depends of the resistance offered by the hydraulic pipes and other components of the net between the considered point and the outlet. It depends as well of the static pressure at the outlet. To make it clear if you pump into a reservoir where the pressure is P2 (units) the pressure at considerd point will be P1= P2+ Σ ς*v^2 where v is the velocity at each resistance level between locations 1 and 2.

ς- can be either a local loss coefficient or a loss coefficient depending on type of flow (Reynolds number) and length of the portion considered. So that as you see with what you mention it is not possible to give you an answer. For details look in a book about flow dynamics or consult wikipedia.

Register to Reply
Power-User

Join Date: Nov 2005
Posts: 116
Good Answers: 7
#6

Re: Fluid flow velocity and Pressure calculation

03/30/2007 1:31 PM

Please give more information. The pressure can be calculated if for example another point in the system is known. If the system is connected to a reservior which is exposed to the atmosphere, the pressure can be found. Likewise, is the system is dumping into an atmospheric pressure reservior, pressure can be found. Is there a pump in the system prior to the point you are measuring? If so, include the head produced by the pump.

You should have information about the pipe being used as well to accurately calculate the friction factor and reynolds number. You should be using the "moody diagram" to find your friction factor if the relative roughness of the pipe (d/ε) which is a look-up value is known.

Once you have this friction factor from the "moody diagram" (there are equations for it as well that I don't feel like looking up right now), then you can proceed to calculate your head losses over the system.

Either way, you need some information regarding some other point in the system and what exists between the two points you are analyzing.

Remember the equation in my previous post. Also, remember this equation: Q=A*V, where Q=volumetric flow rate, A=cross-section area of pipe, and V=Velocity of fluid.

Another equation you should know: hl=f*(L/D)*(V2/2g), where hl=head loss, L=length of pipe, D=Diameter, V=velocity, and g=gravity

__________________
Once everyone is super, no one will be. - "Incrediboy"
Register to Reply
Anonymous Poster
#12
In reply to #6

Re: Fluid flow velocity and Pressure calculation

03/29/2009 9:14 PM

Read more about this in a free book at http://www.drbratland.com/. A long chapter about pipe friction.

Register to Reply
Anonymous Poster
#7

Re: Fluid flow velocity and Pressure calculation

03/30/2007 6:55 PM

HI

you can calculate pressure after knowing the length of the pipe , the density of fluid after that using bernoles eqn

Register to Reply
Anonymous Poster
#8

Re: Fluid flow velocity and Pressure calculation

03/30/2007 7:08 PM

please you need more inf to calculate the pressure

1- the sourse of pressure as, pump , cravity etc ,,,,,

2- the length and type of pipe

3- deside the point which you need to calculate pressure

Register to Reply
Anonymous Poster
#11

Re: Fluid flow velocity and Pressure calculation

04/17/2007 12:15 AM

Yes it does make one think. considering the ques. may b its fairly correct to take in account the Bernoulli's eqn. but giving it 2nd thots using that ber. eqn may not get u a proper ans. therefore to cal. pr. u will need to get to numerical analysis and find out pr. by iterative techniques using an initial guess. taylors series can b of help.

Register to Reply
Associate

Join Date: Aug 2008
Location: United States
Posts: 27
#13

Re: Fluid flow velocity and Pressure calculation

11/05/2009 7:54 AM

I think you'd need to know the properties of the fluid such as the mass or density. The heavier the fluid, the greater the pressure assuming equivalent conditions.

__________________
Yes I am an engineer. No, I will not help you with your math homework...oh, okay, but just this once.
Register to Reply
Register to Reply 13 comments
Copy to Clipboard

Users who posted comments:

Anonymous Poster (4); Capt Psycho (1); Hendrik (2); joeblow6137 (1); nick name (1); Richard L (1); SmithsEng (3)

Previous in Forum: Boiler air heater in air and gas system   Next in Forum: Torque required
You might be interested in: Air Velocity Flow Sensors, Gas Flow Meters, Flow Meters

Advertisement