Surface tension and Young's contact angle

Join the discussion
Registration is free. Start your own thread to ask a follow-up.
3 replies · 2K views · last reply
etotheipi
I came across this diagram, the ##\gamma##'s are supposedly forces per unit length of the respective interfaces:
Sessile water droplet on a solid surface with contact angle θC at the edge, with arrows labelled γLG along the liquid-gas interface, γSG along the solid-gas surface and γSL along the solid-liquid interface.


It's not clear what these forces are acting on. ##\gamma_{SL}## and ##\gamma_{LG}## look like they could be acting on a small bit of water right at the end, but I have no idea what ##\gamma_{SG}## is supposed to be acting on.

Likewise there's this diagram of capillary action:

Two side-by-side free-body diagrams of a liquid meniscus against a vertical solid wall, showing surface tension forces f_sa, f_la and f_ls, contact angle theta, and an arrow labelled f_A pointing left.


It's not clear here either what bodies any of those forces are acting on.

I wondered if someone could clarify? Thanks
 
Physics news on Phys.org
etotheipi said:
It's not clear what these forces are acting on. γSL and γLG look like they could be acting on a small bit of water right at the end, but I have no idea what γSG is supposed to be acting on.
Those are surface tension - Solid Liguid interface, Liquid Gas, and Solid Gas.
At the point where all substances S, L, or G meet, there is an equilibrium and the tensions have to balance statically.

You are right, it is not readily apparent on what the tensions are acting.
But usually we are interested in the liquid surface.

Here is what I think
Consider the Water - Air interface ie the tension LG.
"Both" surface tensions, ie either that of the water in air, or that of the air in water ( if we can call that a surface tension, as usually we are interested in the energies at the liquid surface - consider an interface of two liquids ie water and oil - the oil particles could be more attracted to each other than to water particles, and the same for the water particles being attracted more to each other than the oil particles - and vice-versa ), would have to be equal statically or one would have movement. The surface tension of an air bubble in water is manifested as a pressure - a smaller bubble has a higher pressure within than a larger bubble. The surface tension of the water counteracts this pressure with surface tension of the molecules at the liquid-air interface. If less than that to counteract the internal bubble pressure, the bubble grow in size. If more, the bubble shrinks.

Hopefully that stands up ( or gets picked apart ) to PF scrutiny, which I hope it gets, as your question does delve farther into the common general descriptions of contact angle and surface tension.
 
  • Like
Likes   Reactions: etotheipi
I also found a nice reference here

In their words:
In Young’s law, the system on which the forces act is a corner of liquid bounded by the contact line

Two-panel sketch of a liquid wedge near a solid surface with force arrows: panel (a) shows gamma_LV sin theta, gamma_LV and gamma_SV minus gamma_SL; panel (b) shows gamma_SV plus gamma_LV minus gamma_SL at the contact line, with contact angle theta labelled.
 
Last edited by a moderator:
  • Like
Likes   Reactions: 256bits
The reference does go into more detail.
thanks for the link.