Determining Flow Velocity of Water in Collection Tank

In summary, the conversation discusses the flow of water at the end of an aqueduct into a collection tank. The pipe leading to the tank has a 30 degree angle and tapers from 2.0m to 0.8m in diameter. The goal is to determine the flow velocity of the water as it enters the collection tank. The person is unsure whether to use the continuity equation or the Bernoulli equation, and the knowns and unknowns are discussed. The formulation of the exercise is considered vague and the state of the collection tank is mentioned as a potential factor in the solution.
  • #1
Busybee12
6
0

Homework Statement



Water flows at the end of an aqueduct into the upper end of a 500m long pipe. The pipe has angle of 30 degrees to the horizontal and its low end exits into the bottom of a collection tank. The collection tank can hold a depth of 120m, above the centre line of the delivery pipe exit. Extra liquid can overflow the lip of the tank into a river.

The pipe tapers from a diameter of 2.0m at the top to 0.8m at the bottom. Assuming the head loss to be 8% of the potential head of the wateras it enters the pipe, determine the flow velocity of the water as it enters the collection tank.

I have worked out two CSA's for the pipe and are stuck. Should I use bernoulli's equation or the continuity equation to work out the flow velocity of the water?

Homework Equations



C1A1=C2A2=Q

Z1+C1^2/2g+P1/ρg=Z2+C2^2/2g+P2/ρg+hL

The Attempt at a Solution



A1=πd^2/4=πx2^2/4= 3.142 m^2
A2=πd^2/4=πx0.8^2/4= 0.503 m^2

I have got the CSA's but don't know whether to use bernoullis equation or the continuity equation to find the flow velocity.
 
Physics news on Phys.org
  • #2
You wrote a continuity equation and the Bernouilli equation. That's two (I omit Q) for two unknowns: C1 and C2. Continuity says C1 = C2 A2/A1. Leaves 1 unknown, C2. How about filling in the knowns in the Bernouilli equation expressed in C2 ?

Must say I find the exercise formulation somewhat vague. Or is it a part of a sequence?
Is the collection tank empty or full in this part ? makes a difference for p2 !
 

1. How is flow velocity of water in a collection tank determined?

The flow velocity of water in a collection tank can be determined by measuring the volume of water collected in a given time period and calculating the average velocity. This can be done using a flowmeter or by manually measuring the water level at two different time intervals.

2. What factors can affect the flow velocity of water in a collection tank?

Several factors can affect the flow velocity of water in a collection tank, such as the size and shape of the tank, the volume of water entering the tank, and the presence of obstacles or restrictions in the tank that can impede the flow of water.

3. How does the flow velocity of water in a collection tank relate to the overall system efficiency?

The flow velocity of water in a collection tank is directly related to the overall efficiency of the system. A higher flow velocity indicates a faster and more efficient flow of water, while a lower flow velocity may indicate blockages or inefficiencies in the system that could lead to decreased performance.

4. Can the flow velocity of water in a collection tank change over time?

Yes, the flow velocity of water in a collection tank can change over time due to various factors such as changes in water levels, variations in inflow or outflow rates, and changes in the condition of the tank or its components. Regular monitoring and maintenance can help ensure consistent flow velocity.

5. How can knowing the flow velocity of water in a collection tank be useful?

Knowing the flow velocity of water in a collection tank can be useful for a variety of purposes, such as determining the efficiency of the system, evaluating the performance of pumps or other equipment, and detecting any potential issues or blockages in the tank. It can also help with planning and optimizing water usage and management.

Similar threads

  • Introductory Physics Homework Help
Replies
30
Views
1K
  • Introductory Physics Homework Help
Replies
11
Views
2K
  • Introductory Physics Homework Help
Replies
16
Views
1K
  • Engineering and Comp Sci Homework Help
2
Replies
56
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
24
Views
5K
  • Classical Physics
Replies
11
Views
975
  • Introductory Physics Homework Help
Replies
5
Views
1K
Back
Top