Surface Tension: Bubble Volume & Container Wall Contact

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SUMMARY

The discussion centers on the effect of container wall contact on the volume of an air bubble rising in water, specifically when the contact angle is 90 degrees and hydrostatic pressure is neglected. The primary equation referenced is Young's Equation, which relates surface tensions at the interface. Participants conclude that without hydrostatic pressure, surface tension alone does not alter bubble volume, but the shape of the container may influence the bubble's radius of curvature. The consensus is that the question posed lacks clarity and precision.

PREREQUISITES
  • Understanding of Young's Equation in surface tension analysis
  • Knowledge of bubble dynamics in fluid mechanics
  • Familiarity with contact angles and their implications on surface interactions
  • Basic principles of hydrostatic pressure and its effects on buoyancy
NEXT STEPS
  • Explore the implications of Young's Equation on bubble behavior in various fluids
  • Investigate the effects of different container shapes on bubble dynamics
  • Study the role of hydrostatic pressure in fluid mechanics
  • Learn about the principles of surface tension and its applications in material science
USEFUL FOR

Students and professionals in fluid mechanics, chemical engineering, and materials science who are interested in the behavior of bubbles in liquids and the effects of surface interactions on fluid dynamics.

Otaku123445
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Homework Statement



An air bubble rises in water and makes contact with a container wall. Does contact with the solid surface change the bubble volume even if the surface is neither hydrophilic nor hydrophobic, but forms a contact angle of 90 degrees with the air-water interface?(Neglect Hydrostatic pressure)

Homework Equations


Young's Equation
γsl - γs + γlv.cos θ = 0


The Attempt at a Solution


I know for sure that if hydrostatic pressure is taken into account, then as the bubble rises it expands. But, in the absence of pressure as it hits the container there is only tension forces. But, I'm not sure if the radius of curvature of bubble will be larger or smaller .
 
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If you consider the shape of a container which minimises the ratio of surface to volume that should help you with the radius of curvature.

I don't think surface tension can be included without hydrostatic pressure (the bubble would sink) so the question really seems to be "If you change the shape of a closed container of air, without changing the pressure, does the volume change?"

I feel the real problem here isn't with you but whoever set this sloppy question.
 

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