Bernoulli equation

E173920

The Bernoulli equation is a fundamental principle in fluid dynamics that relates pressure, velocity, and elevation in steady, incompressible, inviscid flow along a streamline.

All labels observed (6)

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Statements (49)

Predicate Object
instanceOf equation in fluid dynamics ⓘ
physical law ⓘ
appliesTo flow along a streamline ⓘ
incompressible flow ⓘ
inviscid flow ⓘ
steady flow ⓘ
assumes constant density ⓘ
no shaft work along the streamline ⓘ
no significant heat transfer along the streamline ⓘ
no viscous dissipation ⓘ
category conservation laws in physics ⓘ
equations of fluid mechanics ⓘ
coordinateSystem streamline coordinates ⓘ
describes conversion between pressure energy, kinetic energy, and potential energy in a fluid ⓘ
expressesConservationOf mechanical energy per unit volume ⓘ
field fluid dynamics ⓘ
hydrodynamics ⓘ
generalization energy equation for real fluids ⓘ
hasForm p + 1/2 ρ v^2 + ρ g z = constant ⓘ
hasFormVariant p/γ + v^2/(2g) + z = constant ⓘ
isBasisFor Bernoulli principle ⓘ
linked to: Bernoulli equation

Bernoulli’s theorem in engineering practice ⓘ
limitation not valid across shock waves ⓘ
not valid for highly viscous flows ⓘ
not valid for strongly compressible high-speed flows without modification ⓘ
namedAfter Daniel Bernoulli ⓘ
publication Hydrodynamica ⓘ
publicationYear 1738 ⓘ
relatedConcept Euler equations of fluid motion ⓘ
linked to: Euler equations

Navier–Stokes equations ⓘ
continuity equation in fluid mechanics ⓘ
relates elevation ⓘ
flow velocity ⓘ
pressure ⓘ
term elevation head ⓘ
pressure head ⓘ
velocity head ⓘ
usedFor Pitot tube analysis ⓘ
Venturi meter analysis ⓘ
aerodynamic lift estimation ⓘ
flow measurement ⓘ
open-channel flow approximations ⓘ
orifice meter analysis ⓘ
pipe flow analysis ⓘ
variable g ⓘ
p ⓘ
v ⓘ
z ⓘ
ρ ⓘ

How these facts were elicited

Referenced by (13)

Full triples — surface form annotated when it differs from this entity's canonical label.

Euler equations → relatedTo → Bernoulli equation ⓘ
Daniel Bernoulli → knownFor → Bernoulli principle ⓘ
subject linked to: Bernoulli
linked to: Bernoulli equation
Bernoulli family → knownFor → Bernoulli principle ⓘ
linked to: Bernoulli equation
Ars Conjectandi → introducesConcept → Bernoulli theorem ⓘ
linked to: Bernoulli equation
Bernoulli equation → isBasisFor → Bernoulli principle ⓘ
linked to: Bernoulli equation
Daniel Bernoulli → notableWork → Bernoulli's principle ⓘ
linked to: Bernoulli equation
Daniel Bernoulli → knownFor → Bernoulli's principle in fluid dynamics ⓘ
linked to: Bernoulli equation
Daniel Bernoulli → hasPrincipleNamedAfter → Bernoulli's principle ⓘ
linked to: Bernoulli equation
Evangelista Torricelli → knownFor → Torricelli’s law ⓘ
linked to: Bernoulli equation
Hydrodynamica → introducedConcept → Bernoulli principle ⓘ
linked to: Bernoulli equation
Hydrodynamica → introducedConcept → Bernoulli equation ⓘ
Venturi effect → basedOn → Bernoulli principle ⓘ
linked to: Bernoulli equation
Venturi effect → relatedTo → Bernoulli equation ⓘ