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When the coordinates
are increased by
the point
moves by the amount
and, as indicated in Figure 1.16, the infinitessimal volume
element is
 |
(1.35) |
Figure 1.16:
Illustrating how the volume element is related to the
increases in the coordinates by
and
. Notice that the lengths of the sides are
,
and
.
|
The scale factors are 1 (in the
direction)
(in the
direction) and 1 (in the
direction).
So the gradient operator is
 |
(1.36) |
The other important expressions in cylindrical coordinates are
and
Next: General Orthogonal Coordinates
Up: Non-Cartesian Coordinates
Previous: 2D Cylindrical Polars
Prof. Alan Hood
2000-11-06