Total work done in pumping a layer water through a bottleneck

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SUMMARY

The discussion focuses on the physics of work done in pumping water through a bottleneck, emphasizing the relationship between force, distance, and flow dynamics. It confirms that more force is required to pump water through a bottleneck with a shrinking radius compared to a constant radius, due to increased resistance and pressure changes. The concept of ideal flow, specifically laminar flow, is noted, which disregards wall collisions, simplifying the analysis of work against gravity when the final height remains constant.

PREREQUISITES
  • Understanding of basic physics concepts, particularly Work = Force x Distance
  • Knowledge of fluid dynamics, specifically laminar flow
  • Familiarity with pressure changes in fluid systems
  • Concept of gravitational force and its impact on fluid movement
NEXT STEPS
  • Research the principles of fluid dynamics, focusing on laminar versus turbulent flow
  • Study the effects of pressure changes in constricted flow scenarios
  • Explore the calculations involved in work done against gravity in fluid systems
  • Learn about the Bernoulli's equation and its applications in fluid mechanics
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Students of physics, engineers working with fluid systems, and anyone interested in understanding the mechanics of fluid flow through constrictions.

JustSomeGuy80
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I don't know much about physics but I know that Work = Force x Distance. Does it take more force to pump an x amount of water through a bottleneck (a shrinking radius from a to b and the constant radius from b to c) as opposed to pumping that same amount of water through a constant radius? If so, how do I factor that into the equation?
 
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If the final height of the water is the same, then the same amount of work against gravity should have been done...ideal flow, or laminar flow, disregards collisions against the bottle walls.
 

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