Fluids - Conical vs Cylindrical Water Clock

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SUMMARY

Conical water clocks outperform cylindrical designs due to their structural advantages. The conical shape allows all water to drain completely, as the hole is located at the apex, preventing residual water from remaining in the container. Additionally, the conical design maintains a more consistent rate of dripping, as the decreasing diameter counteracts the slowing drip rate caused by diminishing water pressure. This results in a more reliable and linear measurement of time.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the mechanics of water clocks
  • Knowledge of pressure and its effects on fluid flow
  • Basic geometry related to conical and cylindrical shapes
NEXT STEPS
  • Research fluid dynamics in relation to container shapes
  • Explore historical designs of water clocks and their efficiencies
  • Investigate the mathematical modeling of fluid flow in conical containers
  • Examine modern applications of conical designs in fluid measurement
USEFUL FOR

Historians, engineers, and hobbyists interested in the mechanics of timekeeping devices, particularly those studying ancient technologies and fluid dynamics.

sean882
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I am researching water clocks through history. At some point, it was realized that for the container the water drips from, a conical container with the hole at its point was superior to a cylindrical container with the hole in its side. Could someone explain to me why conical containers are superior?

Thanks,
-Sean
 
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I don't know much about water clocks but I would imagine one advantage of a conical container would be that all of the water would eventually drip out. In a cylinder you will get some left over water on the sides that will never make it to the hole on their own. But if the water is dripping out the point of a cone it will all make it to the hole.
 
sean882 said:
me why conical containers are superior?

Just an idea, but if the rate of dripping is proportional to pressure then it would drip slower and slower as it empties, but the narrowing diameter of the conical one would make the height of the free surface drop faster and faster as it empties, possibly counteracting the slowing and leading to a constant rate of decrease of height so it could be read on a linear scale.
 

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