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Relativistic Fluids

Yvonne Choquet-Bruhat

in General Relativity and the Einstein Equations

Published in print:
2008
Published Online:
May 2009
ISBN:
9780199230723
eISBN:
9780191710872
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230723.003.0009
Subject:
Mathematics, Applied Mathematics

This chapter presents general properties of perfect fluids. When appropriate definitions are given, some of these properties generalize well-known properties of non-relativistic perfect fluids. ... More


Relativistic Perfect Fluids

Luciano Rezzolla and Olindo Zanotti

in Relativistic Hydrodynamics

Published in print:
2013
Published Online:
January 2014
ISBN:
9780198528906
eISBN:
9780191746505
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528906.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter builds the mathematical framework that is behind relativistic perfect fluids, namely those fluids for which viscous effects and heat fluxes are zero. Starting from the definition of the ... More


Relativistic Non-Perfect Fluids

Luciano Rezzolla and Olindo Zanotti

in Relativistic Hydrodynamics

Published in print:
2013
Published Online:
January 2014
ISBN:
9780198528906
eISBN:
9780191746505
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528906.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter deals with non-perfect fluids, namely those fluids for which viscous effects and heat fluxes cannot be neglected. After a discussion about the most convenient definition of ... More


The Laws of Prandtl and the Laws of Nature

David Bloor

in The Enigma of the Aerofoil: Rival Theories in Aerodynamics, 1909-1930

Published in print:
2011
Published Online:
September 2013
ISBN:
9780226060941
eISBN:
9780226060934
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226060934.003.0010
Subject:
History, History of Science, Technology, and Medicine

This chapter puts into question Taylor's rejection of Lanchester's idea that the flow of air over a wing was describable in terms of a perfect fluid in irrotational motion with circulation. It is ... More


Approximating perfect fluids with matter of Vlasov type

Hans Ringström

in On the Topology and Future Stability of the Universe

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199680290
eISBN:
9780191760235
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199680290.003.0028
Subject:
Mathematics, Mathematical Physics, Geometry / Topology

The standard models of the universe are spatially homogeneous, isotropic and have matter content consisting of perfect fluids. However, it is possible to approximate dust and radiation fluids (that ... More


Potential Flow

Etienne Guyon, Jean-Pierre Hulin, Luc Petit, and Catalin.D. Mitescu

in Physical Hydrodynamics, 2nd Edn

Published in print:
2015
Published Online:
March 2015
ISBN:
9780198702443
eISBN:
9780191772153
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198702443.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Potential flows correspond to irrotational velocity fields: this irrotationality is first shown to be persistent for perfect fluids of zero viscosity. Simple examples of such flows (or approximations ... More


Self-gravitating fluids

Nathalie Deruelle and Jean-Philippe Uzan

in Relativity in Modern Physics

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198786399
eISBN:
9780191828669
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198786399.003.0015
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter briefly describes ‘perfect fluids’. These are characterized by their mass density ρ‎(t, xⁱ), pressure p(t, ⁱ), and velocity field v(t, ⁱ). The motion and equilibrium configurations of ... More


Dynamics of massive systems

Nathalie Deruelle and Jean-Philippe Uzan

in Relativity in Modern Physics

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198786399
eISBN:
9780191828669
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198786399.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter presents the laws of motion of an ensemble of point masses forming a solid body whose shape is invariant, or a fluid whose shape can vary with time. It argues that an ensemble of point ... More


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