The Concept of Continuum and Kinematics

Abstract

The material description of a flow is given by the motion

$$\matrix{ {{x_1} = {\xi _1},} \cr {{x_2} = k\xi _1^2{t^2} + {\xi _2},} \cr {{x_3} = {\xi _3}} \cr }$$

with k as a constant having a dimension, such that the dimensional integrity of both sides of the above system of equations is preserved.