Fluids rate of flow homework help

In summary: So, 0.2 l/s.In summary, the two cylindrical pipes have different radii and flow velocities. The cross-sectional areas are calculated using the formula pi*r^2. The flow rate for pipe B is 0.2 liters/second. The units for flow rate must be liters/second.
  • #1
domyy
196
0

Homework Statement



Two cylindrical pipes both carry an ideal fluid (zero viscosity) in laminar flow. Pipe A has radius Ra = 2 and flow velocity Va = 8cm/s. Pipe B has radius Rb = 4cm and flow velocity Vb = 4cm/s.

A) Calculate the cross section of pipe A and pipe B.
B) Calculate the rate of flow in liters/second (1l = 1000cm cubic)

Homework Equations



maybe v1a1 = v2a2 ?

The Attempt at a Solution



v1a1 = v2a2
= (8cm/s)(2cm) = (4cm/s)(4cm) = 1 ?

It`s wrong.
 
Last edited:
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  • #2


okay. Now tell me what is a1, a2?
 
  • #3


domyy said:

Homework Equations



maybe v1a1 = v2a2 ?
Just what do [itex]a_1[/itex] and [itex]a_2[/itex] represent?

Also, are these pipes connected end to end, or are they in parallel?
 
  • #4


you mean...
 
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  • #5


What has pressure got to do with it?

Go back to your first equation: what is [itex]a_1[/itex]? This is not a trick question.
 
  • #6


I have to calculate cross section of pipe A and B.

My book says cross-sectional area is VA.

I am confused with these formulas because I have the following:

Flow rate = VA
Flow rate = V/T

So, flow rate = cross sectional area = VA?
 
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  • #7


R = 2 = area 1 = 4
R = 4 = area 2 = 16
?
 
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  • #8


I think I know it...
 
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  • #9


would that be correct?
 
  • #10


I just need this to finish my homework.
 
  • #11


I think I know it:

I think I am supposed to use pi. So, could it be: 3.14 x 4^2 = 50.24 for cross section pipe B?
 
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  • #12


I know the answer! I got the answer! I got the answer! Just a question: how should I leave the flow rate considering the answer for B = 0.20096, should I say the answer is 0.20 or 0.200 l/s ?
 
  • #13


domyy said:
I have to calculate cross section of pipe A and B.

My book says cross-sectional area is VA.
Assuming [itex]V[/itex] is volume and [itex]A[/itex] is area, something is wrong, either the book or your reading of it. The units are odd, too: [itex]\mathrm{L}^5[/itex]. If [itex]V[/itex] and [itex]A[/itex] mean something else, then I don't know.

I am confused with these formulas because I have the following:

Flow rate = VA
Flow rate = V/T
What is [itex]T[/itex]?

So, flow rate = cross sectional area = VA?
Think units. What units must flow rate have?
 
  • #14


domyy said:
I know the answer! I got the answer! I got the answer! Just a question: how should I leave the flow rate considering the answer for B = 0.20096, should I say the answer is 0.20 or 0.200 l/s ?
Since the problem, as you gave it, uses only one significant figure, then your answer should have no more than one significant figure.
 

1. What is the formula for calculating flow rate of fluids?

The formula for calculating flow rate of fluids is Q = V/t, where Q is the flow rate in m3/s, V is the volume of fluid in m3, and t is the time in seconds.

2. How do you convert flow rate from one unit to another?

To convert flow rate from one unit to another, you can use the following conversion factors:
- 1 m3/s = 1000 L/s
- 1 m3/s = 60,000 L/min
- 1 m3/s = 3.6 x 106 L/hr
- 1 m3/s = 35.3147 ft3/s
- 1 m3/s = 2118.88 ft3/min
- 1 m3/s = 127,132.8 ft3/hr

3. How does the viscosity of a fluid affect its flow rate?

The viscosity of a fluid is a measure of its resistance to flow. Higher viscosity fluids will have a lower flow rate compared to lower viscosity fluids, as they will require more force to move through a pipe or channel.

4. Can the flow rate of a fluid be controlled?

Yes, the flow rate of a fluid can be controlled through various methods such as changing the diameter of the pipe or channel, adjusting the pressure, or using valves and pumps to regulate the flow.

5. How does the velocity of a fluid affect its flow rate?

The velocity of a fluid is directly proportional to its flow rate. This means that as the velocity increases, the flow rate also increases. However, other factors such as viscosity and pipe diameter can also affect the flow rate, so it is important to consider these variables as well.

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