Rise and fall of capillary action

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SUMMARY

The discussion centers on calculating capillary rise and fall using the formula T=hrgρ/2cosθ, specifically for a capillary with a radius of 0.08 cm. The user requests calculated values for the height of water rise and the fall of mercury, along with similar calculations for glycerin and other liquids. Important parameters such as contact angle (θ), density (ρ), and surface tension for at least five liquids are also sought. The urgency of the request highlights the need for quick and accurate calculations in fluid mechanics.

PREREQUISITES
  • Understanding of capillary action principles
  • Familiarity with fluid mechanics formulas
  • Knowledge of liquid properties such as density and surface tension
  • Ability to perform calculations involving trigonometric functions
NEXT STEPS
  • Research the properties of water, mercury, glycerin, and additional liquids for capillary calculations
  • Learn how to derive and apply the capillary rise formula in practical scenarios
  • Explore the effects of varying radius on capillary action
  • Investigate the relationship between contact angle and liquid behavior in capillaries
USEFUL FOR

Students, educators, and researchers in fluid mechanics, particularly those studying capillary action and its applications in various liquids.

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Assume that I have capillary of radius 0.08 cm.

I want to test this capillary for capillary rise action.

Formula will be

T=hrgρ/2cosθ

what will be the rise for water.. ( please tell me the calculated value)

And, what will be the fall in mercury. ( How to show it negative as its height falls in capillary.

I also want the calculated value of height of water rise in radius of 0.08 cm or of any radius,
with same radius I need the capillary rise in mercury, glycerin, and two to three other liquids..

Atleast, provide me the 5 liquids with their imp. values for calculation such as θ, ρ, and surface tension..

Thnx in advance, and please, be fast, cause I need it in under 12 hours..
 
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