Microfluidics: Modeling, Mechanics and Mathematics

7.4 Position, Velocity, and Acceleration

7.4.1 Cartesian Coordinates

The Cartesian coordinate system uses the coordinate axis vectors ${\overrightarrow{e}}_x$, ${\overrightarrow{e}}_y$, and ${\overrightarrow{e}}_z$ which are independent of time and independent of the position vector $\overrightarrow{s}$ (see Fig. 7.4a). In the Cartesian coordinate systems, the position vector $\overrightarrow{s}$, the velocity vector $\overrightarrow{v}$, and the acceleration vector ...