Newtonian fluids

E32274

Newtonian fluids are idealized fluids whose viscosity remains constant regardless of the applied shear rate, leading to a linear relationship between shear stress and strain rate.

AI illustration

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AI-generated illustration of Newtonian fluids

This AI-generated illustration was produced by black-forest-labs/FLUX.2-dev (1024x1024) from a prompt written by openai/gpt-oss-120b from the entity's label + description.

Prompt

Generate an image of Newtonian fluids (Newtonian fluids are idealized fluids whose viscosity remains constant regardless of the applied shear rate, leading to a linear relationship between shear stress and strain rate.)

All labels observed (2)

Label Occurrences
Newtonian fluids canonical 3
Newton’s law of viscosity 1

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf continuum material ⓘ
fluid ⓘ
idealized fluid model ⓘ
appliesTo simple shear flows ⓘ
unidirectional laminar flow ⓘ
assumptionIn derivation of Navier–Stokes equations ⓘ
contrastedWith non-Newtonian fluid ⓘ
dependsOn pressure for viscosity value ⓘ
temperature for viscosity value ⓘ
describedBy Newton’s law of viscosity ⓘ
linked to: Newtonian fluids
hasExample air at standard conditions ⓘ
light mineral oils ⓘ
most simple gases ⓘ
water at moderate conditions ⓘ
hasLimitation does not capture viscoelastic effects ⓘ
does not model polymer melts accurately ⓘ
does not model suspensions accurately ⓘ
hasParameter dynamic viscosity μ ⓘ
kinematic viscosity ν ⓘ
hasProperty constant viscosity at given temperature and pressure ⓘ
isotropic viscous behavior ⓘ
linear constitutive relation between stress and rate-of-strain tensor ⓘ
linear stress–strain-rate relationship ⓘ
no normal stress differences in simple shear ⓘ
no shear-thickening behavior ⓘ
no shear-thinning behavior ⓘ
no viscoelastic memory effects ⓘ
no yield stress ⓘ
normal stresses proportional to volumetric strain rate ⓘ
rate-type behavior without elasticity ⓘ
shear stress proportional to shear rate ⓘ
stress depends only on instantaneous rate of deformation ⓘ
time-independent viscosity ⓘ
viscosity independent of flow history ⓘ
viscosity independent of shear rate ⓘ
mathematicalForm τ_ij = 2 μ e_ij + λ δ_ij ∇·v ⓘ
namedAfter Isaac Newton ⓘ
obeysEquation τ = μ (du/dy) ⓘ
usedAs baseline assumption in many engineering calculations ⓘ
reference model in rheology ⓘ
usedIn Navier–Stokes equations ⓘ
boundary layer theory ⓘ
computational fluid dynamics ⓘ
continuum mechanics ⓘ
fluid mechanics ⓘ
lubrication theory ⓘ
pipe flow analysis ⓘ
rheology ⓘ

How these facts were elicited

Referenced by (4)

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

Navier–Stokes equations → appliesTo → Newtonian fluids ⓘ
Stokes–Einstein relation → appliesTo → Newtonian fluids ⓘ
Newtonian fluid → describedBy → Newton’s law of viscosity ⓘ
subject linked to: Newtonian fluids
linked to: Newtonian fluids