Euler's equation (fluid dynamics)

URI: https://gptkb.org/entity/Euler's_equation_(fluid_dynamics)
GPTKB entity
Statements (32)
Predicate Object
gptkbp:instanceOf gptkb:algebra
gptkbp:appliesTo compressible flow
incompressible flow
gptkbp:assumes gptkb:continuum_hypothesis
gptkbp:category partial differential equations
conservation laws
gptkbp:describes motion of an inviscid fluid
gptkbp:distinctiveFeature gptkb:Navier–Stokes_equations_(no_viscosity_term)
gptkbp:expressedIn partial differential equations
gptkbp:field fluid dynamics
gptkbp:form ∂u/∂t + (u·∇)u = -∇p/ρ + g
gptkbp:formedBy 1757
gptkbp:hasType analytical solutions (rare)
numerical solutions
https://www.w3.org/2000/01/rdf-schema#label Euler's equation (fluid dynamics)
gptkbp:ignores viscosity
gptkbp:namedAfter gptkb:Leonhard_Euler
gptkbp:partOf gptkb:Navier–Stokes_equations
gptkbp:relatedTo gptkb:Bernoulli's_principle
conservation of momentum
gptkbp:usedFor modeling ideal fluids
gptkbp:usedIn astrophysics
hydrodynamics
oceanography
aerodynamics
weather modeling
gptkbp:variant pressure
density
body forces
velocity field
gptkbp:bfsParent gptkb:Euler_equation
gptkbp:bfsLayer 6