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

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SUMMARY

The discussion focuses on calculating the height (H) of a water jet from a tank using Bernoulli's equation. The tank contains water at 20°C, with a height of 85 cm and a gauge pressure of 75 kPa. The user attempts to solve the problem by setting P1 to 0 and assuming v2 is 0 due to the tank's larger volume compared to the outlet hole. However, the lack of the outlet hole's diameter prevents the application of the conservation of mass equation to find the exit velocity of the jet, leaving two unknowns in the Bernoulli equation.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of fluid dynamics principles
  • Familiarity with gauge pressure concepts
  • Basic skills in algebra for solving equations
NEXT STEPS
  • Research how to apply Bernoulli's equation in fluid flow problems
  • Learn about the conservation of mass in fluid dynamics
  • Investigate methods to estimate exit velocity from pressure and height
  • Explore the effects of outlet diameter on jet height calculations
USEFUL FOR

This discussion is beneficial for students studying fluid mechanics, engineers working on hydraulic systems, and anyone interested in practical applications of Bernoulli's principle in determining fluid jet heights.

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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 ?
 

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