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The balance of kinetic energy
Let Ek denote the kinetic energy of a material volume: Although the kinetic energy is an extensive…
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The balance of angular momentum
The principle of conservation of angular momentum belongs to the axioms of mechanics. In spite…
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The balance of momentum
Newton’s second law of motion is perhaps the most important statement in the field of…
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The transport theorem
The material derivative of a volume integral over a volume of flowing fluid
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Relationships between the acceleration- and the vorticity fields
Important relationships can be obtained for the fluid flow by examining some of the obvious…
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Rotational motion, vorticity field
In order to illustrate this concept, we consider a typical fluid element of certain volume…
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Motion of an infinitesimal fluid particle
Imagine an infinitesimal rectangular fluid particle of fixed identity in a flowing fluid. Its sides…
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The acceleration field
The acceleration is the rate of change of the velocity experienced by a moving particle.…
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The velocity field
In contrast to the Lagrangian description, the Eulerian treatment does not trace individual particles in…