Page 77 - Introduction to Continuum Mechanics

62 Curvilinear Coordinates

and

In the above equation, de r is given by exactly the same equation given earlier for the polar
coordinates, i.e., Eq. (2D1.2a). We note also that e z never change its direction or magnitude
regardless where the point P is, thus de z=0. Thus,

By retracing all the step used in the section on polar coordinates, we can easily obtain the
following results:
(i)Components ofVf

(ii) Components of Vv

(iii) div v

(iv) curl v

(v) Components of div T