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.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Newtonian fluids canonical | 3 |
| Newton’s law of viscosity | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T249242 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: Newtonian fluids Context triple: [Navier–Stokes equations, appliesTo, Newtonian fluids]
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A.
Navier–Stokes equations
The Navier–Stokes equations are fundamental partial differential equations in fluid mechanics that describe how the velocity field of a fluid evolves under forces like pressure and viscosity.
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B.
Division of Fluid Dynamics
The Division of Fluid Dynamics is a specialized unit of the American Physical Society that promotes research, collaboration, and dissemination of knowledge in the field of fluid mechanics and related phenomena.
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C.
On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat
"On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat" is Albert Einstein’s 1905 paper that provided a theoretical explanation of Brownian motion, offering strong evidence for the existence of atoms and molecules.
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D.
Stokes–Einstein relation
The Stokes–Einstein relation is a fundamental equation in statistical physics that links the diffusion coefficient of a particle in a fluid to its size, the fluid’s viscosity, and temperature.
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E.
Physics of Fluids
Physics of Fluids is a peer-reviewed scientific journal focusing on research in fluid dynamics and related areas of physics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Newtonian fluids Target entity description: 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.
-
A.
Navier–Stokes equations
The Navier–Stokes equations are fundamental partial differential equations in fluid mechanics that describe how the velocity field of a fluid evolves under forces like pressure and viscosity.
-
B.
Division of Fluid Dynamics
The Division of Fluid Dynamics is a specialized unit of the American Physical Society that promotes research, collaboration, and dissemination of knowledge in the field of fluid mechanics and related phenomena.
-
C.
On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat
"On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat" is Albert Einstein’s 1905 paper that provided a theoretical explanation of Brownian motion, offering strong evidence for the existence of atoms and molecules.
-
D.
Stokes–Einstein relation
The Stokes–Einstein relation is a fundamental equation in statistical physics that links the diffusion coefficient of a particle in a fluid to its size, the fluid’s viscosity, and temperature.
-
E.
Physics of Fluids
Physics of Fluids is a peer-reviewed scientific journal focusing on research in fluid dynamics and related areas of physics.
- F. None of above. chosen
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 |
Newtonian fluids
self-linksurface differs
ⓘ
surface form:
Newton’s law of viscosity
|
| 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
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You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Subject: Newtonian fluids Description of subject: 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.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.