Movement of a fluid volume element
Fluid mechanics physical characterisics and kinematic

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BE8151 V2 Article

Movement of a fluid volume element


Fluid mechanics physical characterisics and kinematic

Author : André LALLEMAND

Publication date: July 10, 2015, Review date: January 4, 2020 | Lire en français

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4. Movement of a fluid volume element

In the course of its motion, a solid generally undergoes a change of position and orientation. A fluid volume element also undergoes a change in shape.

At time t, let be an element of any volume surrounding the point M (x i ) – Euler variables – and the point M(xi') adjacent to M (figure 12 ). In the case of an undeformable system, the velocity at M′ is given, as a function of the velocity at M and the instantaneous rotation vector

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