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Fluid fully characterized by its density and isotropic pressure
In physics, a perfect fluid or ideal fluid is a fluid that can be completely characterized by its rest frame mass density ρ m {\displaystyle \rho _{m}}
Perfect_fluid
Liquid, gas, or other continuously deforming and flowing material
compressibility are called perfect fluids. Matter Liquid Gas Supercritical fluid "Fluid | Definition, Models, Newtonian Fluids, Non-Newtonian Fluids, & Facts". Encyclopedia
Fluid
Mathematics of general relativity
context of perfect fluids. Finally, there are proposals for extension of the energy conditions to spacetimes containing non-perfect fluids, where the
Energy_condition
Class of exact solutions to Einstein's field equations
a fluid. In astrophysics, fluid solutions are often employed as stellar models, since a perfect gas can be thought of as a special case of a perfect fluid
Fluid_solution
Perfect fluid solution in general relativity
In general relativity, the Wahlquist fluid is an exact rotating perfect fluid solution to Einstein's equation with equation of state corresponding to constant
Wahlquist_fluid
Physical theory of the cosmos
in all directions regardless of location. A perfect fluid has no viscosity; the pressure of a perfect fluid is proportional to its density. These ideas
Big_Bang
Equation of state in cosmology
In cosmology, the equation of state of a perfect fluid is characterized by a dimensionless number w {\displaystyle w} , equal to the ratio of its pressure
Equation_of_state_(cosmology)
Equations in physical cosmology
gravitation for the Friedmann–Lemaître–Robertson–Walker metric and a perfect fluid with a given mass density ρ and pressure p. The equations for negative
Friedmann_equations
Class of exact solutions to the Einstein field equations
spherically symmetric perfect fluid (ssspf) solution is a spacetime equipped with suitable tensor fields which models a static round ball of a fluid with isotropic
Static spherically symmetric perfect fluid
Static_spherically_symmetric_perfect_fluid
Class of exact solutions to Einstein's field equations
density of a perfect fluid that has positive mass density but vanishing pressure. Dust solutions are an important special case of fluid solutions in general
Dust_solution
Set of quasilinear hyperbolic equations governing adiabatic and inviscid flow
In fluid dynamics, the Euler equations are a set of partial differential equations governing adiabatic and inviscid flow. They are named after Leonhard
Euler equations (fluid dynamics)
Euler_equations_(fluid_dynamics)
State of balance between external forces on a fluid and internal pressure gradient
In fluid mechanics, hydrostatic equilibrium, also called hydrostatic balance and hydrostasy, is the condition of a fluid or plastic solid at rest, which
Hydrostatic_equilibrium
fluid mechanics The history of fluid mechanics is a fundamental strand of the history of physics and engineering. The study of the movement of fluids
History_of_fluid_mechanics
Aspects of fluid mechanics involving fluid flow
physical chemistry, and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases. It has several
Fluid_dynamics
Aspect of general relativity
u_{a}} is the fluid's 4-velocity vector field, and p {\displaystyle p} is the pressure. Non-interacting dust ( a special case of perfect fluid ): T a b =
Solutions of the Einstein field equations
Solutions_of_the_Einstein_field_equations
Equation explaining structure of a spherical body of isotropic material
c^{2}} and it is negative. Let us assume a static, spherically symmetric perfect fluid. The metric components are similar to those for the Schwarzschild metric:
Tolman–Oppenheimer–Volkoff equation
Tolman–Oppenheimer–Volkoff_equation
Fluid solutions: T α β {\displaystyle T^{\alpha \beta }} must arise entirely from the stress–energy tensor of a fluid (often taken to be a perfect fluid);
Exact solutions in general relativity
Exact_solutions_in_general_relativity
Technique to find exact solutions to Einstein field equations
proved the uniqueness of certain solutions. In particular, the only perfect fluid solution generated by NJA is the Kerr metric and the only Petrov type
Newman–Janis_algorithm
Acoustic analogue of a black hole in which sound plays the role of light
from a black hole. Sonic black holes are possible because phonons in perfect fluids exhibit the same properties of motion as fields, such as gravity, in
Sonic_black_hole
Paradox in relativistic physics
immersed in a fluid subject to an ambient gravitational field. If a bullet has neutral buoyancy when it is at rest in a perfect fluid and then it is
Supplee's_paradox
Field-equations in general relativity
(1986). "Self-similar spatially homogeneous cosmologies: orthogonal perfect fluid and vacuum solutions". Class. Quantum Grav. 3 (6): 1105–1124. Bibcode:1986CQGra
Einstein_field_equations
Reproductive biofluid of male or hermaphroditic animals
as seminal fluid, is a bodily fluid that contains spermatozoa from the male gonads of animals. In humans and placental mammals, seminal fluid is ejaculated
Semen
Lorentzian manifold where curvature vanishes at large distances
star should be a perfect fluid or dust rather than a vacuum, and then argues that there exist no asymptotically flat rotating perfect fluid solutions in general
Asymptotically_flat_spacetime
Result in general relativity
each blob of fluid being provided by the pressure of surrounding fluid) counteracts the Raychaudhuri scalar, which for a perfect fluid in four dimensions
Raychaudhuri_equation
Exact solution of the Einstein field equations
cylindrically symmetric perfect fluid solution in which the fluid exhibits rigid rotation. That is, we demand that the world lines of the fluid particles form
Van_Stockum_dust
Region in spacetime from which nothing can escape
Universe as composed of non-interacting constituents, each one being a perfect fluid. If a particle is moving at a constant velocity in a non-expanding universe
Event_horizon
Coordinate system in black hole physics
Einstein field equation is static, but this is certainly not true for perfect fluids. The extension of the exterior region of the Schwarzschild vacuum solution
Schwarzschild_coordinates
Solution of Einstein field equations
Lambdavacuum solution and the second term is characteristic of a pressureless perfect fluid or dust solution. The cosmological constant is carefully chosen to partially
Gödel_metric
distribution of momentum and stress (e.g. pressure, viscous stresses in a perfect fluid). In the case of test particles in a vacuum solution or electrovacuum
Test_particle
Hypothetical form of dark energy
Robert R. Caldwell in 1999. In cosmology, the equation of state of a perfect fluid is given by p = w ρ , {\displaystyle p=w\rho ,} where p is the pressure
Phantom_dark_energy
Distance measurement used in cosmology
approximated as composed by non-interacting constituents, each one being a perfect fluid with density ρ i {\displaystyle \rho _{i}} , partial pressure p i {\displaystyle
Particle_horizon
Theorem in general relativity
matter confined to an areal radius R {\displaystyle R} that behaves as a perfect fluid with a density that does not increase outwards. Assume, in addition
Buchdahl's_theorem
Elementary particle, fundamental constituent of matter
have yielded evidence for liquid-like quark matter exhibiting "nearly perfect" fluid motion. The quark–gluon plasma would be characterized by a great increase
Quark
Hypothesized alternative to a black hole
energy", and in this region p = −ρ . Surrounding it is a thin shell of perfect fluid where p = ρ . On the exterior is true vacuum, where p = ρ = 0 . The
Gravastar
State of completeness, flawlessness, or supreme excellence
completely, radiation falling upon it. A perfect fluid would be one that is incompressible and non-viscous. A perfect gas would be one whose molecules did
Perfection
Hypothetical phenomenon
(1998-10-09). "Final fate of the spherically symmetric collapse of a perfect fluid". Physical Review D. 58 (10) 104015. arXiv:gr-qc/9807038. Bibcode:1998PhRvD
Naked_singularity
Planet in the shape of a toroidal or doughnut shape
authors list (link) Nambo, E. C., Sarbach, O. (2020). "Static spherical perfect fluid stars with finite radius in general relativity: a review". Revista Mexicana
Toroidal_planet
Exact solution for the Einstein field equations
fluid interior, and indeed to more general static spherically symmetric perfect fluid solutions. However, the problem of finding a rotating perfect-fluid
Kerr_metric
Frame of reference in which a specified particle is at rest
list (link) See p. 139-140 for discussion of the stress-energy tensor for a perfect fluid such as an ideal gas. Co-moving frame Mass-energy equivalence
Rest_frame
American mathematician (1922–2022)
PMC 1063753. PMID 16589247. Finn, R. (October 1954). "On the Flow of a Perfect Fluid through a Polygonal Nozzle. I". Proc Natl Acad Sci U S A. 40 (10): 983–985
Robert_Finn_(mathematician)
Increase in distance between parts of the universe
a^{-1}} as its peculiar momentum decays. In general, we can consider a perfect fluid with pressure p = w ρ {\displaystyle p=w\rho } , where ρ {\displaystyle
Expansion_of_the_universe
Medical practice of replenishing bodily fluid
Fluid replacement or fluid resuscitation is the medical practice of replenishing bodily fluid lost through sweating, bleeding, fluid shifts or other pathologic
Fluid_replacement
Hypothetical astrophysical effect
light in a gravitational black hole and the flow of an approximately perfect fluid is analogous to gravity. (See analog models of gravity.) Observations
Hawking_radiation
on whether the luminiferous aether was unstable when considered a perfect fluid. Debate between Lord Kelvin and George Stokes. 1895 Lübeck Debate between
List_of_scientific_debates
Local and global geometry of the universe
universe based on the mathematics of fluid dynamics, that is, modeling the matter within the universe as a perfect fluid. Although stars and structures of
Shape_of_the_universe
Mathematical model of the Big Bang
each line can be synchronized; the behavior resembles an expanding perfect fluid, General relativity that relates the geometry of spacetime to the distribution
Lambda-CDM_model
conducting fluid. When different magnetic field regions come into contact, they cannot smoothly merge due to the perfect conductivity of the fluid. Instead
Parker_theorem
Fan that induces gas flow mostly parallel to the shaft
doi:10.1680/isenp.1935.13442. Marble, Frank E. (1948). "The Flow of a Perfect Fluid Through an Axial Turbomachine with Prescribed Blade Loading". Journal
Axial_fan_design
Hydraulic fluid used in vehicles with automatic transmissions
Automatic transmission fluid (ATF) is a hydraulic fluid that is essential for the proper functioning of vehicles equipped with automatic transmissions
Automatic_transmission_fluid
American reality television series
You the One?, all cast members were sexually fluid, with no gender limitations on their potential perfect matches. This season received a GLAAD Media Award
Are_You_the_One?
American physicist (1881–1948)
Einstein field equations describing the static spherically symmetric perfect fluid. It was Tolman who spurred J. Robert Oppenheimer's interest in relativistic
Richard_C._Tolman
Background energy existing in space
gravity and its interactions. In 1934, Georges Lemaître used an unusual perfect-fluid equation of state to interpret the cosmological constant as due to vacuum
Vacuum_energy
Principle relating to fluid dynamics
Bernoulli's principle is a concept in fluid dynamics that relates pressure, speed and height. For example, for a fluid flowing horizontally, Bernoulli's principle
Bernoulli's_principle
Static exact solution in general relativity
Schwarzschild metric (also interior Schwarzschild solution or Schwarzschild fluid solution) is an exact solution for the gravitational field in the interior
Interior_Schwarzschild_metric
Concept in physical models
required deformation through the introduction of the energy–momentum of a perfect fluid. Although no particles are known to have negative mass, physicists (primarily
Negative_mass
Physics theory
J. Hancock and Claes Uggla show a counterexample in the non-tilted perfect fluid case. Thus an almost isotropic cosmic microwave temperature does not
Ehlers–Geren–Sachs_theorem
Tensor describing energy momentum density in spacetime
{E}{c^{2}}},\,\mathbf {p} ,\,\mathbf {p} \,\mathbf {v} \right)\,.} For a perfect fluid, the stress–energy tensor takes on the form T α β = ( ρ + p c 2 ) u
Stress–energy_tensor
form of matter has indeed been discovered, and that it behaves like a perfect fluid. PHENIX scientists are now working to study its properties. Study matter
PHENIX_detector
Italian mathematician (1891–1958)
rational mechanics and mathematical physics, including the theory of perfect fluids, elastic deformations, and the metodo simbolico introduced by Giovanni
Francesco_Sbrana
American mathematician (born 1942)
diffeomorphisms and the solution of the classical Euler equations for a perfect fluid, Bulletin of the American Mathematical Society, vol. 75, 1969, pp. 962–967
David_Gregory_Ebin
Hypothetical FTL transportation by warping space
a series of papers analysing which matter models—dust, perfect fluids, charged dust and fluids with a cosmological constant—are compatible with the warp-drive
Alcubierre_drive
Bulgarian-American high energy particle physicist
Velkovska showed that these collisions result in small droplets of almost perfect fluid, i.e. a cohesive liquid that flows at zero viscosity, that emerge in
Julia_Velkovska
Hypothesis in physics
P. Tod (1999). "Isotropic Cosmological Singularities I. Polytropic Perfect Fluid Spacetimes". Annals of Physics. 276 (2): 257–293. arXiv:gr-qc/9903008
Weyl_curvature_hypothesis
Vector field
energy-momentum tensor represents a perfect fluid, every Killing vector field preserves the energy density, pressure and the fluid flow vector field. When the
Matter_collineation
Aircraft wing configuration with a non-planar, continuous surface wing
(1935). Durand, William F. (ed.). Division E: General Aerodynamic Theory-Perfect Fluids. Aerodynamic Theory: a General Review of Progress Under a Grant of the
Closed_wing
Idealized model for real conducting materials
In electrostatics, a perfect conductor is an idealized model for real conducting materials. The defining property of a perfect conductor is that static
Perfect_conductor
American reality television program
sexually fluid, with no gender limitations on their potential perfect matches. Notes Name Unconfirmed perfect match Name Confirmed perfect match In
Are_You_the_One?_season_8
French mathematician
Iooss, P.Plotnikov, J.F.Toland . Standing waves on an infinitely deep perfect fluid under gravity. Arch. Rat. Mech. Anal. 177, 3, 367-478. doi:10.1007/s00205-005-0381-6
Gérard_Iooss
American mathematician
on a solid surface as a fluid flows over it. Above the boundary layer, the fluid behaves approximately like a perfect fluid. But within the boundary
Wolfgang_R._Wasow
Science of rubbing surfaces
materials. What we try to achieve by means of these materials is a perfect fluid lubrication, or a lubrication such that it is possible to avoid direct
Tribology
Type of symmetry in physics
energy–momentum tensor represents a perfect fluid, every Killing vector field preserves the energy density, pressure and the fluid flow vector field. When the
Spacetime_symmetries
Research institute based in Akademgorodok of Novosibirsk, Russia
substantiation of approximate models of the theory of wave motions of a perfect fluid; the development of methods for group analysis of differential equations
Lavrentyev Institute of Hydrodynamics
Lavrentyev_Institute_of_Hydrodynamics
Model of subatomic particles
mechanics today. In 1867 Lord Kelvin suggested that the vortex rings of a perfect fluid discovered by Hermann von Helmholtz represented "the only true atoms"
Toroidal_ring_model
Russian mathematician (1937–2010)
des fluides parfaits" ('On the differential geometry of infinite-dimensional Lie groups and its applications to the hydrodynamics of perfect fluids'),
Vladimir_Arnold
Quasilinear first-order ordinary differential equation
des fluides parfaits" [On the differential geometry of infinite-dimensional Lie groups and its applications to the hydrodynamics of perfect fluids]. Annales
Euler's equations (rigid body dynamics)
Euler's_equations_(rigid_body_dynamics)
American modern jazz double bass player and composer
Judith Schlesinger of AllMusic, writing in early 2000s, the "pitch-perfect, fluid, and elegant bassist" is one of the most employed musicians in the international
Sean_Smith_(bassist)
Scientific discipline
Biofluid dynamics or biological fluid dynamics is a specialization of fluid dynamics focused on biological fluids in humans and other animals. Alternatively
Biofluid_dynamics
American mathematician (1884–1944)
seem to mind) that his theory allows as sources only matter which is a perfect fluid in which the speed of sound must equal the speed of light. Birkhoff
George_David_Birkhoff
Equation describing a state of matter under a given set of conditions
(quark–gluon plasmas) and radiation fields. A related concept is the perfect fluid equation of state used in cosmology. Equations of state are applied
Equation_of_state
Coordinate system
theory of static spherically symmetric perfect fluids. Static spacetime Static spherically symmetric perfect fluids Schwarzschild coordinates Isotropic coordinates
Gaussian_polar_coordinates
the RHIC accelerator of Brookhaven National Laboratory generates a "perfect" fluid, perhaps the quark–gluon plasma. 2010 The Large Hadron Collider at CERN
Timeline of atomic and subatomic physics
Timeline_of_atomic_and_subatomic_physics
Pascal's law, a law of hydrostatics is developed, stating that, in a perfect fluid, the pressure exerted on it anywhere is transmitted equally. Dr Thomas
1646_in_science
geometry and topology. CosmoGRaPH (Cosmological General Relativity And (Perfect fluid | Particle) Hydrodynamics) is a C++ code used to explore cosmological
List of cosmological computation software
List_of_cosmological_computation_software
solutions, at most three differentiations are required to compare any two perfect fluid solutions. Vanishing scalar invariant spacetime Computer algebra system
Cartan–Karlhede_algorithm
the cosmological constant as due to a vacuum energy with an unusual perfect fluid equation of state. 1938 – Hans Bethe calculates the details of the two
Timeline of cosmological theories
Timeline_of_cosmological_theories
in the fluid's recent past. However, the fluid cannot fully return to its original position due to energy losses stemming from less than perfect elasticity
Recoil_(rheology)
Approximation method for general relativity in physics
is the coordinate velocity of the matter. Stress-energy tensor for a perfect fluid takes form T 00 = ρ ( 1 + Π + v 2 + 2 U ) {\displaystyle T^{00}=\rho
Parameterized post-Newtonian formalism
Parameterized_post-Newtonian_formalism
American nuclear physicist
discovered that this matter is in fact strongly interacting and nearly a perfect fluid. Since stepping down after nine years of dedicated service as spokesperson
William_Allen_Zajc
Predecessor to the theory of relativity
special case when the only matter present is a cloud of dust (that is, a perfect fluid in which the pressure is assumed to be negligible). He argued that the
Nordström's theory of gravitation
Nordström's_theory_of_gravitation
Relations between power sums and elementary symmetric functions
the characteristic polynomial of the Einstein tensor in the case of a perfect fluid, and similar articles on other types of exact solutions in general relativity
Newton's_identities
Class of partial differential equations
des fluides parfaits" ('On the differential geometry of infinite-dimensional Lie groups and its applications to the hydrodynamics of perfect fluids'),
Euler–Arnold_equation
Well-preserved ancient body found in China
and 162 carved wooden figurines representing servants and musicians. The fluid present in the coffin allowed Xin Zhui's body to remain in such well-preserved
Xin_Zhui
Accumulation of excess fluid in the pleural cavity
accumulation of excessive fluid in the pleural space, the potential space that surrounds each lung. Under normal conditions, pleural fluid is secreted by the
Pleural_effusion
German Army field manual
defense-in-depth and reverse-slope defense. On the offense in 1918, they perfected fluid non-linear infiltration tactics supported by artillery (cf. Stormtrooper)
Truppenführung
Physical concept
who showed that the inertia of a body moving in an incompressible perfect fluid is increased.) So due to this self-induction effect, electrostatic energy
Electromagnetic_mass
Generalization of Euler equations
μ {\displaystyle \nabla _{\mu }} is the covariant derivative. For a perfect fluid, T μ ν = ( e + p ) u μ u ν + p g μ ν . {\displaystyle T^{\mu \nu }\
Relativistic_Euler_equations
Non-breaking standing wave pattern
P. I.; Toland, J. F. (2005). "Standing Waves on an Infinitely Deep Perfect Fluid Under Gravity" (PDF). Archive for Rational Mechanics and Analysis. 177
Clapotis
tensor. In the case of vacuum solutions, electrovacuum solutions and perfect fluid solutions, the CM scalars comprise a complete set. Additional invariants
Carminati–McLenaghan invariants
Carminati–McLenaghan_invariants
Branch of fluid mechanics
flow (or gas dynamics) is the branch of fluid mechanics that deals with flows having significant changes in fluid density. While all flows are compressible
Compressible_flow
Hypothetical gravitational particle
T=g^{\mu \nu }T_{\mu \nu }} is its trace. If one considers a pressure-free perfect fluid (also known as a dust solution), the effective material Lagrangian becomes
Pressuron
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PERFECT FLUID
PERFECT FLUID
PERFECT FLUID
PERFECT FLUID
PERFECT FLUID
PERFECT FLUID
PERFECT FLUID
PERFECT FLUID
PERFECT FLUID
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