Abstract
This chapter focuses on kinematics of a continuous medium. Only one property, common to all fluids and present in any continuous medium, is used in kinematics—it is the continuity of distribution of kinematic elements in space and their differentiability in space and time. As opposed to the kinematics of separate points or a system of points, the mechanics of a continuous medium has its own specific methods of treating motion. The streamlines in a fluid with a non-stationary velocity field do not coincide with particle paths. In general, it is possible to draw only one streamline at a given moment through each point of that space that is filled by fluid. If two streamlines intersect at a finite angle at a particular point, then, because of the impossibility of one point simultaneously having different directions of motion, it becomes apparent that the velocity of the fluid at that point must be equal either to zero or to infinity.
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