How Does a Siphon Work with Different Liquid Heights and Pressures?

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SUMMARY

The discussion focuses on the mechanics of a siphon operating with varying liquid heights and pressures. Key points include the relationship between liquid density, pressure at point B, and the speed of liquid emerging from point C. The siphon operates under the principle of constant velocity due to equal cross-sectional areas, but pressure changes can affect flow rates as the water level decreases. The maximum height a siphon can lift water is also addressed, emphasizing the importance of understanding pressure differentials in siphon operation.

PREREQUISITES
  • Understanding of fluid dynamics principles, particularly Bernoulli's equation.
  • Knowledge of pressure differentials and their effects on fluid flow.
  • Familiarity with siphon design and operational mechanics.
  • Basic mathematics for calculating heights and velocities in fluid systems.
NEXT STEPS
  • Research Bernoulli's equation and its application in siphon mechanics.
  • Explore the effects of liquid density on siphon performance.
  • Study the relationship between pressure changes and fluid velocity in siphons.
  • Investigate the maximum lifting height of siphons for various liquids.
USEFUL FOR

Students of fluid dynamics, engineers designing siphon systems, and anyone interested in the principles of fluid mechanics and siphon operation.

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Siphon with a liquid of density P and negligible viscosity. With the bottom of the tube in the contained at point A d + h1 from point B at the top of the siphon, and the bottom of the tube extracting the liquid at point C d + h1 + h2 from the top of the siphon and h2 away from point a. (All distances are vertical).
a) With what speed does the liquid emerge from tube at C?
b) What is the pressure at topmost point B?
c) What is the greatest height that a siphon may lift water?

I figure since there are no changes in area, the velocity must be constant at all point in the tube. But as the water level drops, will the pressure in the siphon change, causing the velocity to drop?
 
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What is the pressure difference that is making the siphon work?

You have not said what is d. Give a better description of the whole apparatus.
 

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