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Viscosity
forces (or shear stresses) occur in real flows due to the friction
of fluid layers with different velocities. For the one-dimensional
flow shown in figure 1, the velocity u is
parallel to the wall and shear stresses occur in plans parallel to
the wall.

Figure 1. Shear stress
The
shear stress is estimated by Newton’s equation:

(3.3)
where
m is
the dynamic viscosity
and
is the velocity gradient.
The expression of the shear stress
can also be presented in terms
of the kinematics viscosity instead of the dynamic viscosity:

(3.4)
where
r is
the fluid density
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