Fluid



Continuum mechanics
Conservation of mass
Conservation of momentum
Navier-Stokes equations
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A fluid is defined as a substance that continually deforms (flows) under an applied plastic solids.

Liquids form a free surface (that is, a surface not created by the container) while gases do not. The distinction between Silly Putty can be considered either a solid or a fluid, depending on the time period over which it is observed.

Fluids display such properties as:

  • not resisting deformation, or resisting it only lightly (viscosity), and
  • the ability to flow (also described as the ability to take on the shape of the container).

These properties are typically a function of their inability to support a shear stress in static equilibrium.

Solids can be subjected to shear stresses, and to normal stresses - both shear stress.

In a solid, shear stress is a function of pressure in characterizing a fluid's state.

Depending on the relationship between strain and its derivatives, fluids can be characterized as:

  • Newtonian fluids : where stress is directly proportional to rate of strain, and
  • Non-Newtonian fluids : where stress is proportional to rate of strain, its higher powers and derivatives.

The behavior of fluids can be described by the Navier-Stokes equations - a set of partial differential equations which are based on:

The study of fluids is fluid statics depending on whether the fluid is in motion.

See also

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Fluid". A list of authors is available in Wikipedia.