perfect fluid वाक्य
उदाहरण वाक्य
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- Perfect fluids are idealized models in which these possibilities are neglected.
- A related concept is the perfect fluid equation of state used in cosmology.
- Specifically, perfect fluids have no shear stresses, viscosity, or heat conduction.
- The RHIC experiments also discovered that this matter is in fact strongly interacting and nearly a perfect fluid.
- For a perfect fluid, another equation of state relating density \ rho and pressure p must be added.
- For such fluids, specific heats and \ gamma are assumed to be constant and invariant with temperature ( a thermally perfect fluid ).
- With the stress energy tensor for a perfect fluid, we substitute them into Einstein's field equations and the resulting equations are described below.
- Perfect fluids admit a Lagrangian formulation, which allows the techniques used in field theory, in particular, quantization, to be applied to fluids.
- Perfect fluids are often used in general relativity to model idealized distributions of matter, such as the interior of a star or an isotropic universe.
- When the energy-momentum tensor represents a perfect fluid, every Killing vector field preserves the energy density, pressure and the fluid flow vector field.
- One way of obtaining this solution is to look for a cylindrically symmetric perfect fluid solution in which the fluid exhibits " rigid rotation ".
- Sonic black holes are possible because phonons in perfect fluids exhibit the same properties of motion as fields, such as gravity, in space and time.
- Among the perfect fluids other than dusts or radiation fluids, by far the most important special case is that of the static spherically symmetric perfect fluid solutions.
- Among the perfect fluids other than dusts or radiation fluids, by far the most important special case is that of the static spherically symmetric perfect fluid solutions.
- In the latter case, the equation of state of the perfect fluid may be used in Friedmann Lema�tre Robertson Walker equations to describe the evolution of the universe.
- In a subsequent article, Mbarek and Paranjape showed that it is in fact possible to obtain the required deformation through the introduction of the energy-momentum of a perfect fluid.
- These criteria can often be useful for spot checking alleged perfect fluid solutions, in which case the coefficients of the characteristic are often much simpler than they would be for a simpler imperfect fluid.
- In general relativity, the "'Wahlquist fluid "'is an exact rotating perfect fluid solution to Einstein's equation with equation of state corresponding to constant gravitational mass density.
- There is in fact a known perfect fluid solution, the Wahlquist fluid, which is Petrov type D and which has a definite surface across which one can attempt to match to a vacuum exterior.
- The Friedmann equations can be easily solved in presence of a perfect fluid with equation of state ( ideal gas law ) http : / / en . wikipedia . org / wiki / Friedmann _ equations
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