How Do You Determine the Height H of a Water Jet from a Tank?

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In summary, the problem involves a tank of water at 20C with a height of 85cm and a pressure of 75kPa gage. A vertical jet is created when the water flows out, and the goal is to find the height H to which the jet rises. Using the Bernoulli equation, with some assumptions such as the tank having a larger volume than the outlet hole, the problem is left with two unknowns. Further information, such as the diameter of the outlet hole, would be needed to solve for the exit velocity and ultimately find the height H.
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Homework Statement


Water at 20C in a tank at a height of 85cm and 75kPa gage flows out and creates a vertical jet determine the height,H, to which the jet rises


Homework Equations


Bernoulli
Code: 
P1+.5*rho*v1^2+g*rho*H= P2 + .5*rho*v2^2 +g*rho*.85


The Attempt at a Solution



My assumtions
P1= 0 gage pressure
v2=0 since the volume of the tank can be considerably larger than outlet hole.

However I am not given a diameter of the outlet hole so I can not use a conservation of mass equation to find the exit velocity of the jet to find the height H. So the Bernoulli equation is left with 2 unknowns. any suggestions?
 
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Can you just determine v2 from the Bernoulli equation ?
 

Related to How Do You Determine the Height H of a Water Jet from a Tank?

1. What is the "H" in the water jet problem?

The "H" in the water jet problem refers to the height of the water jet, which is the vertical distance from the nozzle to the highest point of the water stream.

2. How is the "H" value determined in the water jet problem?

The "H" value is determined by the pressure of the water, the size of the nozzle, and the angle at which the water is being sprayed. Other factors such as the density and flow rate of the water may also affect the "H" value.

3. Why is "H" important in the water jet problem?

"H" is important in the water jet problem because it directly affects the distance and velocity of the water stream. It is also a key factor in determining the force and power of the water jet.

4. How does the "H" value affect the cutting ability of a water jet?

The "H" value plays a crucial role in the cutting ability of a water jet. A higher "H" value means a more powerful and focused water stream, which can cut through materials more easily. However, too high of an "H" value may cause splashing and scattering of the water, reducing its cutting effectiveness.

5. Can the "H" value be adjusted in the water jet problem?

Yes, the "H" value can be adjusted by changing the pressure, nozzle size, and angle of the water jet. It is important to carefully consider these factors to achieve the desired "H" value for optimal cutting and efficiency.

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