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Theory of viscosity
Informally, viscosity is the quantity that describes a fluid's
resistance to flow. Fluids resist the relative motion of immersed
objects through them as well as to the motion of layers with differing
velocities within them.
Formally, viscosity (represented by the symbol η "eta") is the ratio
of the shearing stress (F/A) to the velocity gradient (Δvx/Δz or dvx/dz)
in a fluid.

The more usual form of this relationship, called Newton's equation,
states that the resulting shear of a fluid is directly proportional to
the force applied and inversely proportional to its viscosity. The
similarity to Newton's second law of motion (F = ma) should be
apparent.

The SI unit of viscosity is the pascal second [Pa•s], which has no
special name. Despite its self-proclaimed title as an international
system, the International System of Units has had very little
international impact on viscosity. The pascal second is rarely used in
scientific and technical publications today. The most common unit of
viscosity is the dyne second per square centimeter [dyne•s/cm2],
which is given the name poise [P] after the French physiologist Jean
Louis Poiseuille (1799-1869). Ten poise equal one pascal second [Pa•s]
making the centipoise [cP] and millipascal second [mPa•s] identical.
1 pascal second = 10 poise = 1,000 millipascal second
1 centipoise = 1 millipascal second
There are actually two quantities that are called viscosity. The
quantity defined above is sometimes called dynamic viscosity, absolute
viscosity, or simple viscosity to distinguish it from the other
quantity, but is usually just called viscosity. The other quantity
called kinematic viscosity (represented by the symbol ν "nu") is the
ratio of the viscosity of a fluid to its density.

Kinematic viscosity is a measure of the resistive flow of a fluid
under the influence of gravity. It is frequently measured using a
device called a capillary viscometer -- basically a graduated can with
a narrow tube at the bottom. When two fluids of equal volume are
placed in identical capillary viscometers and allowed to flow under
the influence of gravity, a viscous fluid takes longer than a less
viscous fluid to flow through the tube. Capillary viscometers are
discussed in more detail later in this section. |
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