Advanced Mathematics For Engineering and Science
As the product of a close collaboration between two mathematicians and an engineer, this pragmatic text provides the know-how and know-why to understanding mathematics and its many applications.
TABLE OF CONTENTS Advanced Mathematics For Engineering and Science
Appendix II: The Equation of Motion in Several Coordinate Systems
RECTANGULAR COORDINATES
In terms of velocity gradients for a Newtonian fluid with constant ? (density) and (viscosity)
x-component
| (A.II 1) |  |
y-component
| (A.II 2) |  |
z-component
| (A.II 3) |  |
CYLINDRICAL COORDINATES
In terms of velocity gradients for a Newtonian fluid with constant ? and
r-component
| (A.II 4) |  |
?-component
| (A.II 5) |  |
z-component
| (A.II 6) |  |
SPHERICAL COORDINATES
In terms of velocity gradients for a Newtonian fluid with constant ? and
r-component
| (A.II 7) |  |
?-component
| (A.II 8) |  |
-component
| (A.II 9) |  |
| (A.II 10) |  |
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