Reiner–Rivlin fluid model
E693899
The Reiner–Rivlin fluid model is a constitutive model in continuum mechanics that describes the nonlinear stress–strain behavior of certain non-Newtonian, viscoelastic fluids.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Reiner–Rivlin fluid model canonical | 2 |
| Rivlin–Ericksen fluid | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7792504 — 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.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Reiner–Rivlin fluid model Context triple: [Marcus Reiner, notableFor, Reiner–Rivlin fluid model]
-
A.
Dynamics of Nonhomogeneous Fluids
Dynamics of Nonhomogeneous Fluids is a seminal scientific monograph by Chia-Shun Yih that develops the theoretical foundations of fluid motion in media with spatially varying density and related properties.
-
B.
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.
-
C.
On the theories of the internal friction of fluids in motion
"On the theories of the internal friction of fluids in motion" is a foundational scientific paper by George Gabriel Stokes that established key principles of fluid dynamics and viscosity, leading to what is now known as the Navier–Stokes equations.
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D.
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.
-
E.
Dynamics of Polymeric Liquids
Dynamics of Polymeric Liquids is a foundational textbook in rheology and polymer science that rigorously develops the theory and mathematical modeling of the flow and deformation behavior of polymeric fluids.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Reiner–Rivlin fluid model Target entity description: The Reiner–Rivlin fluid model is a constitutive model in continuum mechanics that describes the nonlinear stress–strain behavior of certain non-Newtonian, viscoelastic fluids.
-
A.
Dynamics of Nonhomogeneous Fluids
Dynamics of Nonhomogeneous Fluids is a seminal scientific monograph by Chia-Shun Yih that develops the theoretical foundations of fluid motion in media with spatially varying density and related properties.
-
B.
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.
-
C.
On the theories of the internal friction of fluids in motion
"On the theories of the internal friction of fluids in motion" is a foundational scientific paper by George Gabriel Stokes that established key principles of fluid dynamics and viscosity, leading to what is now known as the Navier–Stokes equations.
-
D.
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.
-
E.
Dynamics of Polymeric Liquids
Dynamics of Polymeric Liquids is a foundational textbook in rheology and polymer science that rigorously develops the theory and mathematical modeling of the flow and deformation behavior of polymeric fluids.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
constitutive model
ⓘ
continuum mechanics concept ⓘ non-Newtonian fluid model ⓘ viscoelastic fluid model ⓘ |
| aimsTo | model complex fluid behavior with simple constitutive equations ⓘ |
| allows |
nonlinear dependence of stress on strain rate invariants
ⓘ
quadratic terms in rate-of-deformation tensor ⓘ |
| appliesTo |
incompressible fluids
ⓘ
isotropic fluids ⓘ |
| assumes |
isotropy of material response
ⓘ
material frame indifference ⓘ |
| basedOn |
Cauchy stress tensor
ⓘ
rate-of-deformation tensor ⓘ |
| captures |
normal stress effects in shear flows
ⓘ
shear-thickening behavior ⓘ shear-thinning behavior ⓘ |
| category | nonlinear continuum mechanics model ⓘ |
| characterizes | nonlinear relationship between stress and rate of strain ⓘ |
| contrastsWith |
linear viscoelastic models
ⓘ
purely Newtonian viscous models ⓘ |
| describes |
non-Newtonian fluids
ⓘ
nonlinear stress–strain behavior ⓘ viscoelastic fluids ⓘ |
| field |
continuum mechanics
ⓘ
non-Newtonian fluid mechanics ⓘ rheology ⓘ |
| generalizes | Newtonian fluid model ⓘ |
| includesParameter | material constants depending on invariants of strain rate ⓘ |
| influenced | development of modern non-Newtonian constitutive equations ⓘ |
| introducedBy |
Mark Reiner
ⓘ
Ronald S. Rivlin ⓘ |
| isA | phenomenological model ⓘ |
| mathematicalForm | stress expressed as polynomial in invariants of rate-of-deformation tensor ⓘ |
| relatedTo |
Rivlin–Ericksen fluid
ⓘ
linked to:
Reiner–Rivlin fluid model
second-order fluid model ⓘ |
| satisfies |
isotropic tensor function representation theorems
ⓘ
objectivity requirement ⓘ |
| timePeriod | mid-20th century ⓘ |
| usedIn |
analysis of lubricants
ⓘ
analysis of polymeric liquids ⓘ theoretical rheology ⓘ viscoelastic flow modeling ⓘ |
| uses |
Rivlin–Ericksen tensors
ⓘ
objective tensor invariants ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
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.
Input
Subject: Reiner–Rivlin fluid model Description of subject: The Reiner–Rivlin fluid model is a constitutive model in continuum mechanics that describes the nonlinear stress–strain behavior of certain non-Newtonian, viscoelastic fluids.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Reiner–Rivlin fluid model