Applied Physics I: Chapter 2: Properties of Matter - Viscosity and Surface Tension
Coefficient of viscosity
Definition: The coefficient of viscosity is defined as the tangential force per unit area required to maintain a unit velocity gradient.
COEFFICIENT
OF VISCOSITY
Let
us consider two layers AB and CD of a liquid moving with the velocities v and
v+dv respectively from a fixed surface as shown in Fig.2.2.
Let
'dx' be the distance of separation
between the two layers. Then
The
velocity gradient is = dv/dx
According
to Newton, the viscous force (F) acting tangentially on a layer of a liquid is
directly proportional to
(i)
F ∝ surface area (A) of the
layer
(ii)
F ∝ velocity gradient (dv/dx)
F
∝ A (dv/dx)
(or)
F = ‒ ηA (dv/dx)
where η is as constant for the liquid and is called as coefficient viscosity and this law is called as Newton's law of viscous flow in a stream line motion. The negative sign indicates that force is acting in the opposite direction of flow.
If
A = 1;
dv/dx
= 1
then
F = ‒ η
Definition
The
coefficient of viscosity is defined as the tangential force per unit area
required to maintain a unit velocity gradient.
Applied Physics I: Chapter 2: Properties of Matter - Viscosity and Surface Tension : Tag: Applied Physics : - Coefficient of viscosity
Applied Physics I: Chapter 2: Properties of Matter - Viscosity and Surface Tension
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