Page 501 - Introduction to Continuum Mechanics

Non-Newtonian Fluids 485

etc. These equations are equivalent to the following equations:

and

From

etc., we obtain, with the help of Eqs. (8.8.11) and (8.8.12),

The other components can be easily written down following the patterns given in the above
equations..
(C) Spherical coordinates
With path line equations given by

the components of Q with respect to e rje^,ee can be obtained to be