Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Euler_equations_(fluid_dynamics)> ?p ?o }
- Euler_equations_(fluid_dynamics) abstract "In fluid dynamics, the Euler equations are a set of quasilinear hyperbolic equations governing adiabatic and inviscid flow. They are named after Leonhard Euler. The equations represent Cauchy equations of conservation of mass (continuity), and balance of momentum and energy, and can be seen as particular Navier–Stokes equations with zero viscosity and zero thermal conductivity. In fact, Euler equations can be obtained by linearization of some more precise continuity equations like Navier–Stokes equations in a local equilibrium state given by a Maxwellian. The Euler equations can be applied to incompressible and to compressible flow – assuming the flow velocity is a solenoidal field, or using another appropriate energy equation respectively (the simplest form for Euler equations being the conservation of the specific entropy). Historically, only the incompressible equations have been derived by Euler. However, fluid dynamics literature often refers to the full set – including the energy equation – of the more general compressible equations together as \"the Euler equations\".From the mathematical point of view, Euler equations are notably hyperbolic conservation equations in the case without external field (i.e. in the limit of high Froude number). In fact, like any Cauchy equation, the Euler equations originally formulated in convective form (also called usually \"Lagrangian form\", but this name is not self-explanatory and historically wrong, so it will be avoided) can also be put in the \"conservation form\" (also called usually \"Eulerian form\", but also this name is not self-explanatory and is historically wrong, so it will be avoided here). The conservation form emphasizes the mathematical interpretation of the equations as conservation equations through a control volume fixed in space, and is the most important for these equations also from a numerical point of view. The convective form emphasizes changes to the state in a frame of reference moving with the fluid.".
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Acceleration.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Adiabatic_process.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Aerodynamics.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Alexander_Friedmann.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Approximation.
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Barotropic_fluid.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Bernhard_Riemann.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Bernoulli_invariant.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Bernoullis_principle.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Body_force.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Boltzmann_constant.
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Burgers_equation.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Cartesian_coordinate_system.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Category:Concepts_in_physics.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Category:Equations_of_fluid_dynamics.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Cauchy_momentum_equation.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Center_of_curvature.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Characteristic_equation_(calculus).
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Circular_symmetry.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Classical_mechanics.
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Croccos_theorem.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Curl_(mathematics).
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Diagonalizable_matrix.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Divergence.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Divergence_theorem.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Dot_product.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Einstein_notation.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Electric_field.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Energy.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Enthalpy.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Entropy.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Equation_of_state.
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Finite_volume_method.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink First_law_of_thermodynamics.
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Fluid.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Fluid_dynamics.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Fluid_parcel.
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Force_density.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Four-momentum.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Frenet–Serret_formulas.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Froude_number.
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Fundamental_theorem_of_calculus.
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Gradient.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Gravity.
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Hat_matrix.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Heat_capacity_ratio.
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Horace_Lamb.
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Joule.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Kelvins_circulation_theorem.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Kronecker_delta.
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- Euler_equations_(fluid_dynamics) wikiPageWikiLink Lagrangian_and_Eulerian_specification_of_the_flow_field.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Leonhard_Euler.
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Lift_(force).
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Line_(geometry).
- Euler_equations_(fluid_dynamics) wikiPageWikiLink Linear_differential_equation.