Polar shear stress in a Newtonian fluid
= Polar shear stress in a Newtonian fluid
For a planar velocity field in polar coordinates,
$$
\sigma_{r\theta}
=\mu\left[
r\frac{\partial}{\partial r}\left(\frac{u_\theta}{r}\right)
+\frac1r\frac{\partial u_r}{\partial\theta}
\right].
$$