Basics

Simple applications of the Bernoulli equation

There is a rather large range of problems in fluid mechanics to which the perfect fluid model can…

The Bernoulli equation

The Bernoulli equation is the first line integral of the equation of motion. The equation can take various…

Euler’s equation

The perfect fluid

The fundamental property which distinguishes a fluid from other continuous media is that it cannot be in equilibrium…

Mechanical equilibrium of fluids

This equation places a restriction on the body forces. Mechanical equilibrium can exist only if the body force…

The balance of entropy

The entropy is a thermodynamic variable of state; an extensive quantity. It cannot be experienced directly; as a…

The principle of conservation of energy

Any material system is characterized by its energy content. Energy occupies a position of distinction amongst the other…

The balance of kinetic energy

Let Ek denote the kinetic energy of a material volume: Although the kinetic energy is an extensive variable it is…

The balance of angular momentum

The principle of conservation of angular momentum belongs to the axioms of mechanics. In spite of its general…

The balance of momentum

Newton’s second law of motion is perhaps the most important statement in the field of dynamics. As is well-known this…