Explaining Siphon Mechanics with Bernoulli's Equation

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SUMMARY

This discussion centers on the mechanics of siphons as explained through Bernoulli's equation, specifically the equation 1/2ρv² + mgh + P = constant. Participants clarify that water flows from a higher elevation to a lower elevation due to the pressure differential created by the height difference, not merely from higher pressure to lower pressure. The conversation emphasizes the importance of understanding fluid dynamics principles, particularly in the context of pressure differentials and gravitational effects on fluid flow.

PREREQUISITES
  • Understanding of Bernoulli's equation and its components
  • Basic principles of fluid dynamics
  • Knowledge of pressure differentials in fluid systems
  • Familiarity with concepts of gravitational potential energy in fluids
NEXT STEPS
  • Study the application of Bernoulli's equation in real-world scenarios
  • Learn about pressure differentials in siphon systems
  • Explore fluid dynamics simulations to visualize siphon mechanics
  • Investigate the role of gravitational potential energy in fluid flow
USEFUL FOR

Students in physics or engineering, educators teaching fluid dynamics, and anyone interested in understanding the principles behind siphon mechanics and fluid flow behavior.

Joseph Phan
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Could someone explain to me how a Siphon works using Bernoulli's equation.

Why would one beaker have to have a higher height than the other beaker?

My thoughts were that a Pressure differential is needed for water to flow, so the input and the output pressures must be different.
In addition, water flows from higher pressure to lower pressure

Using Bernoullis' equation 1/2ρv2 +mgh + P = constant

Why does water flow from the beaker with a greater height into the beaker with the lower height?

Isn't pressure B1 ( beaker with the lower height) greater than the pressure B2 (beaker with the greater height). And that water would move from the lower height to the higher height due to water wanting to flow from greater pressure to lower pressure?
 
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Joseph Phan said:
Could someone explain to me how a Siphon works using Bernoulli's equation.

Why would one beaker have to have a higher height than the other beaker?

My thoughts were that a Pressure differential is needed for water to flow, so the input and the output pressures must be different.
In addition, water flows from higher pressure to lower pressure

Using Bernoullis' equation 1/2ρv2 +mgh + P = constant

Why does water flow from the beaker with a greater height into the beaker with the lower height?

Isn't pressure B1 ( beaker with the lower height) greater than the pressure B2 (beaker with the greater height). And that water would move from the lower height to the higher height due to water wanting to flow from greater pressure to lower pressure?

Hi there Joseph,

you have labelled your post I for undergraduate level , what university studies have you done using Bernoulli's equation.?
what online research have you done so far ?
 
davenn said:
Hi there Joseph,

you have labelled your post I for undergraduate level , what university studies have you done using Bernoulli's equation.?
what online research have you done so far ?
I've taken Unviersity physics the course and we went through Fluid and Fluid dynamics and I'm studying for the MCAT right now. There was a passage on this question how a toilet works and its relationship from how water moves from the Bowl, through the Erkel tube.

I'd did research on youtube and wikipedia, to find out the physics behind it, but it was vague or didn't explain the physics.
 
Joseph Phan said:
My thoughts were that a Pressure differential is needed for water to flow, so the input and the output pressures must be different.
In addition, water flows from higher pressure to lower pressure
This is true.
Isn't pressure B1 ( beaker with the lower height) greater than the pressure B2 (beaker with the greater height).
No. Maybe you should draw a diagram and label the actual pressures.
 

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