Flow measurement in venturi meter

freshbox

First I am trying to find the theoretical flow rate but I am not able to get the answer because since diameter of the pipe is 0.03m throughout, when I sub into the formula:

My A1/A2 will be 1, and 1-1 = 0. And I will get maths error whatever is divided by 0.

Am I going in the wrong direction?

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Saitama

First I am trying to find the theoretical flow rate but I am not able to get the answer because since diameter of the pipe is 0.03m throughout, when I sub into the formula:

My A1/A2 will be 1, and 1-1 = 0. And I will get maths error whatever is divided by 0.

Am I going in the wrong direction?

No, the diameter is not 0.03 m throughout. Read the problem statement again.

freshbox

I mean the 2 pipes at point 1 & 2 connecting to the venturi meter

Saitama

I mean the 2 pipes at point 1 & 2 connecting to the venturi meter
As per the given question, at point 1 it is 0.03 m and at point 2 (throat), its 0.012 m.

freshbox

I am confused. Is A1= Area of Left hand side pipe, A2= Area of Right hand side pipe in the theoretical flow rate formula?

"A venturi-meter is installed in a pipe of 30mm diameter" the pipe the question is talking about is it the 2 vertical pipes or the horizontal pipe?

Thanks.

Saitama

I am confused. Is A1= Area of Left hand side pipe, A2= Area of Right hand side pipe in the theoretical flow rate formula?
No. Your book defines A1 and A2, maybe on the previous page, no?

Do you know about Bernoulli theorem?

"A venturi-meter is installed in a pipe of 30mm diameter" the pipe the question is talking about is it the 2 vertical pipes or the horizontal pipe?
The 30 mm diameter pipe is the horizontal pipe (isn't that obvious? ).

The vertical pipes are used for calculating pressures at point 1 and 2.

freshbox

Ok I think I got it for the pipes. I am having problem finding P1-P2

Can I ask Since P1=P2

P1=pg(0.045)
P2=pg(0.027)

P1=P2
1000x9.81(0.045)=1000x9.81(0.027)
441.45=264.87 -> Stuck...

There is a note in my book saying "The pressure difference, (P1-P2) is obtained from a U-tube manometer."
Since this is not a u-tube manometer, how do I go about finding P1-P2?

Thanks.

Saitama

Ok I think I got it for the pipes. I am having problem finding P1-P2

Can I ask Since P1=P2

P1=pg(0.045)
P2=pg(0.027)

P1=P2
1000x9.81(0.045)=1000x9.81(0.027)
441.45=264.87 -> Stuck...

There is a note in my book saying "The pressure difference, (P1-P2) is obtained from a U-tube manometer."
Since this is not a u-tube manometer, how do I go about finding P1-P2?

Thanks.
How P1=P2? What is the pressure at a depth in a liquid?

freshbox

I take the reference point at P1 and P2. Like how I did for Px and Py in the attached screenshot.

What is the pressure at a depth in a liquid? I don't know sorry.

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Saitama

I take the reference point at P1 and P2. Like how I did for Px and Py in the attached screenshot.
Looks good to me. Can't you find P1 and P2 in the problem you have posted?

P1=P_(atm)+(density)*g*(h1).

Similarly find P2.

freshbox

What is P_(atm)? Why do I need to take in account into my equation?

So can I still take my reference point at point 1 & 2 like how I did for Px & Py (Px=Py) so P1=P2?

Thanks.

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Saitama

What is P_(atm)? Why do I need to take in account into my equation?

Thanks.
Sorry, I should have defined it. P_(atm) is the atmospheric pressure. I can't help you further until you learn how to calculate pressure at a depth. Pressure at depth, which is taught in hydro statics should be in your notes or you haven't yet started with it? But its unlikely that you begin with hydrodynamics before studying hydro statics.

For this problem, P1-P2=(density)*g*(difference in heights of liquid in vertical tube).

Is P1=P2?

Saitama

Is P1=P2?
You should refer your textbook or search online for pressure at depth.

freshbox

I have search and don't understand the information online. My teacher said that I should find a reference point and the reference point should have the same liquid.

So I tried to apply post #9 method on my post #1 question which is by taking a reference point. Post #9 I can find the pressure difference between 1 & 2. But for post #1, I am unable to form the equation to "P1-P2=xxxx"

Can you tell me where I go wrong?

Thanks.

Saitama

I have search and don't understand the information online. My teacher said that I should find a reference point and the reference point should have the same liquid.

So I tried to apply post #9 method on my post #1 question which is by taking a reference point. Post #9 I can find the pressure difference between 1 & 2. But for post #1, I am unable to form the equation to "P1-P2=xxxx"

Can you tell me where I go wrong?

Thanks.
What you do in post #9 is same as calculating pressure at a depth.

In post #9, you go down, in this problem you go up. Think where you should mark X and Y in this case.

freshbox

Ok. I have labeled my new Px and Py. But I think it's abit wrong because what do I do for the "?" part of water in Px.

But if it is wrong I thought my reference point should have the same liquid Attachments

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Saitama

Ok. I have labeled my new Px and Py. But I think it's abit wrong because what do I for the "?" part of water in Px.

But if it is wrong I thought my reference point should have the same liquid It would much easier if you place Px at the top most point on the liquid inside the vertical tube on the left.

freshbox

Ok. How about my Py? I thought they should be on the same level with each other and with the same liquid too?

Because my post #9 referencing points are at the same level and having the same liquid.

Please explain, I'm abit confused. thank you sir.

Saitama

Ok. How about my Py? I thought they should be on the same level with each other and with the same liquid too?

Thanks.
Yes, take them on the same level.

EDIT: And don't call me sir, I am a student myself. :D

freshbox

Ok same referencing point but Py is not having the same liquid as Px.

My lecturer said that referencing point must be at the same level and is having the same liquid.

I'm confused over this part.

It's ok, it's a form of respect, if you don't like I won't call you that haha.. Thanks anyway for your help :)

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freshbox

Px=9810(0.045)+P1
Py=9810(0.027)+P2+Patm

Since Px=Py

9810(0.045)+P1=9810(0.027)+P2+Patm
P1-P2=264.87-441.45
P1-P2=-176.58 -> Is the answer wrong?

Saitama

Px=9810(0.045)+P1
Py=9810(0.027)+P2+Patm

Since Px=Py

9810(0.045)+P1=9810(0.027)+P2+Patm
P1-P2=264.87-441.45
P1-P2=-176.58 -> Is the answer wrong?
Py is actually the atmospheric pressure. Going up from P1,
P1-9810(0.045)=Px

If we go up from P2,
P2-9810(0.027)=Py.

Pressure above the liquid in the vertical tubes is same everywhere so Px=Py. Solve to find P1-P2.

freshbox

Don't understand at all. The questions that I did I will add the pressure together. Saitama

Don't understand at all. The questions that I did I will add the pressure together. The value you calculated for P1-P2 is correct but the sign is wrong. You can substitute that value if you wish and obtain the answer but the way you calculated is wrong. I don't know how can I explain it to you in simpler terms. We should wait for the experts to join.

"Flow measurement in venturi meter"

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