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In a two-dimensional plane, if the path functions are described by any arbitrary function, , then the corresponding velocity and accelerations can be obtained by Eq. (2.1.1).

(2.1.2)

 

Fig. 2.1.1: Description of fluid motion.

 

When the above results are calculated in Eulerian variables, then the velocity and accelerations are expressed with respect to the particular point in the space. So, the Eq. (2.1.2) can be rewritten as given below;

(2.1.2)

Out of the two approaches in the study of fluid motion, the Eulerian description is the preferred one because of its mathematical simplicity.