Surface Tension(fluid mechanics)

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Discussion Overview

The discussion revolves around the concept of surface tension in fluid mechanics, particularly how it interacts with objects floating on liquids. Participants explore the underlying mechanisms of surface tension, buoyancy, and the implications of these forces on the behavior of objects at the liquid's surface.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether a floating body remains on top of fluid molecules or between surface molecules, seeking clarification on how surface tension prevents sinking.
  • Another participant explains that molecules at the surface experience inward forces due to deeper liquid molecules, which balances the forces acting on the surface, allowing the body to remain outside the liquid.
  • A participant notes that the surface is pulled down at the edges of a suspended object, contributing an upward force from surface tension.
  • There is a request for clarification on the derivation of excess pressure related to surface tension, specifically questioning the formula for pressure in relation to surface area and tension force.
  • A different perspective is presented, arguing that objects float due to buoyancy rather than surface tension, and that surface tension primarily affects wetting properties. This participant emphasizes the role of interfacial energy and the Laplace formula in understanding pressure at curved interfaces.

Areas of Agreement / Disagreement

Participants express differing views on the role of surface tension in floating objects, with some attributing buoyancy as the primary factor while others highlight the significance of surface tension. The discussion remains unresolved regarding the exact contributions of these forces.

Contextual Notes

There are unresolved assumptions regarding the definitions of buoyancy and surface tension, as well as the applicability of the discussed models to different scenarios involving liquids and objects.

Godwin Kessy
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May anyone help me out on this model!

On surface tension the model used is that it acts as a skin on top of liquids, So when a body floats on top of liquid due to surface tension does it stay on top of the fluid molecules or between the surface molecules! And how does the molecules prevent the body from sinking!
 
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Hi Godwin! :wink:

From http://en.wikipedia.org/wiki/Surface_tension#Cause"
At the surface of the liquid, the molecules are pulled inwards by other molecules deeper inside the liquid and are not attracted as intensely by the molecules in the neighbouring medium (be it vacuum, air or another liquid). Therefore, all of the molecules at the surface are subject to an inward force of molecular attraction which is balanced only by the liquid's resistance to compression …

So the body stays outside the liquid, and it's for roughly the same reason that it would stay outside a solid … liquids and solids both "stay together"! :smile:
 
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The surface is pulled down slightly at the edges of the suspended object.
This gives an upward component to the surface tension at the object.
 
clem said:
The surface is pulled down slightly at the edges of the suspended object.
This gives an upward component to the surface tension at the object.

Thank you! I got you well!
There comes else, May you help me out on the derivation of excess pressure
How comes pressure due to surface tension is simply
Pressure T = 2(pie)rT/A

Where 2(pie)r=Circumference
T=Surface Tension
A=Surface Area of bubble

While the surface Tension force considered in per length and not on the whole surface Area as Pressure is concerned!
 
Godwin Kessy said:
May anyone help me out on this model!

On surface tension the model used is that it acts as a skin on top of liquids, So when a body floats on top of liquid due to surface tension does it stay on top of the fluid molecules or between the surface molecules! And how does the molecules prevent the body from sinking!

This is an unfortunate model to use- an effect of demanding that everything reduce to some sort of atomic model.

First, objects do not 'float' due to surface tension- they float (or sink) due to bouyancy- i.e. gravity.

Surface tension affects *wetting*. Insects that can stay on top of a water surface do so because they do not get wet- the interfacial energy creates an energy barrier, preventing their skin (or whatever passes for insect skin) from getting wet. If the water had a thin film of oil, which decreases that wetting barrier, the insects would most likely fall right in.

The Laplace formula for the pressure jump at a curved interface is simply due to this energy barrier- the energy cost associated with creating a surface. The idea that surfaces have an energy independent of the bulk material is due to Gibbs. So, interfacial tension has units of energy/area. Note there is also line tension, which occurs at a three-phase line (e.g. water-air-solid).
 

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