Showing posts with label SURFACE TENSION. Show all posts
Showing posts with label SURFACE TENSION. Show all posts

Surface Tension

Surface tension is the force acting on the surface of liquid per unit length and because of this property the liquid drops always will acquire minimum surface area .This is the reason because of which small water drops are spherical.When the drop is big in size gravitational force on it starts dominating and they acquire elliptical shape .

An extra energy is associated with surface of liquids, the creation of more surface (spreading of surface) keeping other things like volume fixed requires additional energy.

Let us assume that we move the bar by a small distance d as shown. Since the area of the surface increases, the system now has more energy, this means that some work has been done against an internal force.

Let this internal force be F, the work done by the applied force is F.d = Fd. From conservation of energy, this is stored as additional energy in the film. If the surface energy of the film is S per unit area, the extra area is 2dl. A film has two sides and the liquid in between, so there are two surfaces and the extra energy is

S (2dl) = Fd and
S=Fd/2dl = F/2l

The quantity S is the magnitude of surface tension. It is equal to the surface energy perunit area of the liquid interface and is also equal to the force per unit length exerted by the fluid on the movable bar.

Surface tension is a force per unit length (or surface energy per unit area) acting in the plane of the interface between the plane of the liquid and any other substance; it also is the extra energy that the molecules at the interface have as compared to molecules in the interior.

At any point on the interface besides the boundary, we can draw a line and imagine equal and opposite surface tension forces S per unit length of the line acting perpendicular to the line, in the plane of the interface. The line is in equilibrium.Let us imagine a line of atoms or molecules at the surface. The atoms to the left pull the line towards them; those to the right pull it towards them! This line of atoms is in equilibrium under tension. If the line really marks the end of the interface, as in figure a and b there is only the force S per unit length acting inwards.

Other properties of Fluids :

Surface energy and tension
Viscosity
Dynamic lift
Venturi meter
Torricelli's theorem
Blood flow and heart attack
Stream line flow
What is pressure ?
Pressure variation with depth
Pascal's Law


Surface Energy and Surface Tension

Surface tension is the property of surface of liquids because of which surface behaves like a stretched elastic membrane.

Surface tension can be defined as the force acting per unit length normal to the surface of the liquid.This can be explained based on molecular theory. This develops a tension like force on the surface and hence it is called surface tension.

Liquids have no definite shape but have a definite volume, they acquire a free surface when poured
in a container. These surfaces possess some additional energy. This phenomenon is known as surface tension and it is concerned with only liquid as gases do not have free surfaces.

A liquid stays together because of attraction between molecules. Consider a molecule well inside a liquid. The intermolecular distances are such that it is attracted to all the surrounding molecules [figure a]. This attraction results in a negative potential energy for the molecule, which depends on the number and distribution of molecules around the chosen one.

But the average potential energy of all the molecules is the same. This is supported by the fact that to take a collection of such molecules (the liquid) and to disperse them far away from each other in order to evaporate or vaporize, the heat of evaporation required is quite large.

Let us consider a molecule near the surface figure b. Only lower half side of it is surrounded by liquid molecules. There is some negative potential energy due to these, but obviously it is less than that of a molecule in bulk, i.e., the one fully inside. Approximately it is half of the latter. Thus, molecules on a liquid surface have some extra energy in comparison to molecules in the interior. A liquid thus tends to have the least surface area which external conditions permit. Increasing surface area requires energy.

Since a liquid consists of molecules moving about, there cannot be a perfectly sharp surface. The density of the liquid molecules drops rapidly to zero around z = 0 as we move along the direction indicated figure c in a distance of the order of a few molecular sizes.

Thus molecules on the surface of liquid experience maximum downward force and hence the surface behaves like a stretched membrane.This property is called surface tension.

Other properties of Fluids :

Viscosity
Dynamic lift
Venturi meter
Torricelli's theorem
Blood flow and heart attack
Stream line flow
What is pressure ?
Pressure variation with depth
Pascal's Law


Angle of Contact and Surface Tension

The angle between tangent to the liquid surface at the point of contact and solid surface inside the liquid is termed as angle of contact. It is denoted by θ. It is different at interfaces of different pairs of liquids and solids. The value of θ determines whether a liquid will spread on the surface of a solid or it will form droplets on it. For example, water forms droplets on lotus leaf as shown in figure a while spreads over a clean plastic plate as shown in figure b.

Here we consider the three interracial tensions at all the three interfaces, liquid-air, solid-air and solid-liquid denoted by Sla, Ssa & Ssl respectively as given in figure (a) and (b). At the line of contact, the surface forces between the three media must be in equilibrium. From the figure b the following relation is derived.

Sla cos θ + Ssl = Ssa

The angle of contact is an obtuse angle if Ssl > Sla as in the case of water-leaf interface while it is an acute angle if Ssl < style="font-weight: bold; color: rgb(51, 102, 255);">Other properties of Fluids :


Surface Tension
Surface energy and tension
Viscosity
Dynamic lift
Venturi meter
Torricelli's theorem
Blood flow and heart attack
Stream line flow
What is pressure ?
Pressure variation with depth
Pascal's Law