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Additional recommended knowledge
Real fluids are "sticky" and contain (and conduct) heat. Perfect fluids are idealized models in which these possibilities are neglected. Specifically, perfect fluids have no shear stresses, viscosity, or heat conduction.
In tensor notation, the energy-momentum tensor of a perfect fluid can be written in the form
where U is the velocity vector field of the fluid and where ημν is the metric tensor of Minkowski spacetime.
Perfect fluids admit a Lagrangian formulation, which allows the techniques used in field theory to be applied to fluids. In particular, this enables us to quantize perfect fluid models. This Lagrangian formulation can be generalized, but unfortunately, heat conduction and anisotropic stresses cannot be treated in these generalized formulations.
Perfect fluids are often used in general relativity to model idealized distributions of matter, such as in the interior of a star.
Note: Mark Roberts is an occasional Wikipedia editor Markdroberts. He contributed to this article.
|This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Perfect_fluid". A list of authors is available in Wikipedia.|