Ch 11.3 Help

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Ch 11.3 Help

Post  Guest01 on Thu Nov 13, 2008 12:25 am

Question 1
The flow rate of a fluid through a pipe with a cross sectional area of 18.19 cm2 is 18.32 liters per second. What is the speed of the fluid (see sheet 25). Indicate with a positive (negative) sign whether the expression you use is valid for a fluid that cannot be (can easily be) compressed.

How To Solve
Answer is

Question 2
Water flows through a pipe vertically upward. The pipe has the same cross sectional area everywhere. You mark two points on the pipe, one 1.129 m higher than the other. What is the pressure difference between bottom and top points inside the pipe (see sheet 29; hint: what does the equation on sheet 25 tell you about the velocities?)? Indicate with a positive (negative) sign whether your result depends (does not depend) on the velocity of the water flow.

How To Solve
Answer is

Question 3
You mark two points on a water pipe which is horizontally positioned with water flowing through it from left to right. The diameter of the pipe at the left mark is 7.937 cmand at the right mark is 1.59 cm. What is the pressure difference between left and right (see sheet 29,25)if the velocity of the fluid on the left is 7.46 cm/s ? Now tilt the pipe such that the right mark is higher than the left mark and indicate with a negative (positive) sign whether the pressure difference increases (decreases).

How To Solve
Answer is

Question 4
A fluid with a given viscosity flows through a cylindrical vessel. You reduce the vessel radius by a factor 1.456 (divide by this factor). If the pressure difference is the same as before what is the ratio of the new flow rate over the old flow rate (see sheet 36,38) ? Indicate with a negative (positive) sign whether the pressure difference has to be increased (decreased) in order to maintain the same flow rate as before the radius reduction.

How To Solve
Answer is


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Question 1

Post  Guest24 on Thu Nov 13, 2008 1:47 am

Question 1
The flow rate of a fluid through a pipe with a cross sectional area of 18.19 cm2 is 18.32 liters per second. What is the speed of the fluid (see sheet 25). Indicate with a positive (negative) sign whether the expression you use is valid for a fluid that cannot be (can easily be) compressed.

How To Solve
Answer is

First:
Convert your values into SI units so 18.19cm^2=.001819m^2
1 liter per second=.001 cubic meters per second
so therefore 18.32 liters per second=.01832 cubic meters per second.
Then we divide our flow rate (.01832) by our cross sectional area to get velocity.
Answer is positive.

Guest24
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Question 4

Post  Guest24 on Thu Nov 13, 2008 1:51 am

Question 4
A fluid with a given viscosity flows through a cylindrical vessel. You reduce the vessel radius by a factor 1.456 (divide by this factor). If the pressure difference is the same as before what is the ratio of the new flow rate over the old flow rate (see sheet 36,3Cool ? Indicate with a negative (positive) sign whether the pressure difference has to be increased (decreased) in order to maintain the same flow rate as before the radius reduction.

How To Solve
Answer is

So we can set up a proportion here.
Delta p1/Delta p2=r2^4/r1^4

So numerically we divide our given number above (1.456) into 1. -->1/1.456=.6868131868
We take this number and raise this to the fourth power so .6868131868^4=.2225
This is our answer
Answer is negative

Guest24
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question 2 and 3

Post  student on Thu Nov 13, 2008 5:18 pm

I have no idea where to even start for number 2 and 3. can some give some hints? thanks!

student
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question 2

Post  chen on Thu Nov 13, 2008 6:08 pm

P_1-P_2=p*g*(h_1+factor-h_1)
deltaP=p*g*factor

answer is negative

chen
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Re: Ch 11.3 Help

Post  11.3 que on Thu Nov 13, 2008 7:00 pm

can anyone pls post what they did for question 2 and three...the equation for 2 above is a little bit mis-understanding. thanks

11.3 que
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question 2

Post  guest145 on Thu Nov 13, 2008 10:18 pm

For this question, simply use P=rho*g*h. h is the number given in m.

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fsdfa

Post  chen on Thu Nov 13, 2008 10:19 pm

Question 2
Water flows through a pipe vertically upward. The pipe has the same cross sectional area everywhere. You mark two points on the pipe, one 1.129 m higher than the other. What is the pressure difference between bottom and top points inside the pipe (see sheet 29; hint: what does the equation on sheet 25 tell you about the velocities?)? Indicate with a positive (negative) sign whether your result depends (does not depend) on the velocity of the water flow.

the question is asking for the different between bottom and top points which is delta P

delta P=density of water * g * factor factor=1.129
density of water =1000
g=9.81
delta P=1000*9.81*1.129, that is your answer negative

chen
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question 3

Post  sedwards on Fri Nov 14, 2008 12:37 am

Anyone know how to do question 3?

sedwards
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Q3

Post  hwilson on Fri Nov 14, 2008 10:23 pm

I also need help with question 3 cant seem to figure it out any ideas?

hwilson
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Question 3 Possible Solution

Post  S on Sat Nov 15, 2008 12:27 am

I haven't entered it into my maple ta yet, but i think these are the steps:

1. A1V1=A2V2

where, A= pi/4*d^2

solve for V2

2. P1 + pgh1 + .5pV1^2 = P2 + pgh2 + .5pV2^2

solve for (P1-P2).... the pgh's obv cancel out because there is no height difference.

oh, and make sure your units are all SI

Like I said, I haven't checked my answer on maple ta, but i think my logic is correct.

S
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Re: Ch 11.3 Help

Post  krolik on Sat Nov 15, 2008 1:49 pm

The possible solution for question 3 above comes out correct. Answer is negative.

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question3

Post  chen on Sat Nov 15, 2008 2:30 pm

you are right

thank you

chen
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Re: Ch 11.3 Help

Post  ???? on Sat Nov 15, 2008 3:57 pm

i'm still having trouble with question 3 I get V2 then with the second part i'm having trouble getting the actual answer, I get this huge number which obviously isn't correct. are we just subtracting p2-p1?? thanks for anyone's help!

????
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Q3

Post  guest_01 on Sat Nov 15, 2008 4:08 pm

can someone show #3 with numbers? thanks!

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help

Post  student on Sun Nov 16, 2008 12:40 am

please help me with number 3

student
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question 3 with numbers

Post  me on Sun Nov 16, 2008 12:43 am

You mark two points on a water pipe which is horizontally positioned with water flowing through it from left to right. The diameter of the pipe at the left mark is 7.937 cmand at the right mark is 1.59 cm. What is the pressure difference between left and right (see sheet 29,25)if the velocity of the fluid on the left is 7.46 cm/s ? Now tilt the pipe such that the right mark is higher than the left mark and indicate with a negative (positive) sign whether the pressure difference increases (decreases).

A=pi/4*d^2
So, A1=pi/4*(.07937)^2
A2= pi/4*(.0159)^2
V1=.0746
v2= X (what youre solving for)

A1*V1 = A2*V2
Solve for V2

Then do

P1 + pgh1 + .5pV1^2 = P2 + pgh2 + .5pV2^2
The phh's cancel so then its just P1 + .5pV1^2 = P2 + .5pV2^2
Bring everything to the other side and you have P1-P2 = .5pV1^2 + .5pV2^2
Where V2 was determined in the first step, and p = 1000 because its the density of water.
and remember its negative

me
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Re: Ch 11.3 Help

Post  hey on Sun Nov 16, 2008 1:53 pm

get guys

what is P1 and P2 equal to?

P1-P2 ??

hey
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Re: Ch 11.3 Help

Post  student on Sun Nov 16, 2008 1:56 pm

how would u convert velocity 9.548cm/s into SI unit?

student
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Re: Ch 11.3 Help

Post  student on Sun Nov 16, 2008 2:13 pm

i am keep getting #3 wrong...please help me

student
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re: student

Post  k on Sun Nov 16, 2008 3:24 pm

multiply velocity in cm/s * .01 to put it in meters per second
And once you have P1-P2 on one side and a value on the other, youre done. You don't have to solve for the individual P values or anything, youre just looking for the difference

k
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Re: Ch 11.3 Help

Post  DJ on Sun Nov 16, 2008 3:25 pm

P1-P2 IS the difference (same as DeltaP). Hence, you just solve the right side of the equation:

.5pV1^2 + .5pV2^2

And the value you get will be your answer.

DJ
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Question 3

Post  LN on Sun Nov 16, 2008 6:27 pm

It should be P1 -P2 = 0.5 * rho * (V2^2 - V1^2) not +

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Re: Ch 11.3 Help

Post  meg on Sun Nov 16, 2008 9:51 pm

I still am not getting #3...HELP please

meg
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Re: Ch 11.3 Help

Post  DJ on Sun Nov 16, 2008 10:30 pm

Have you converted units properly?

DJ
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