Stokes flow
E32707
Stokes flow is a type of fluid motion dominated by viscous forces and characterized by very low Reynolds numbers, where inertial effects are negligible.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Stokes flow canonical | 3 |
| Stokes equations | 1 |
| Stokes flow theory | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T249264 — 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: Stokes flow Context triple: [Navier–Stokes equations, relatedTo, Stokes flow]
-
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.
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.
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.
-
D.
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.
-
E.
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.
- 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: Stokes flow Target entity description: Stokes flow is a type of fluid motion dominated by viscous forces and characterized by very low Reynolds numbers, where inertial effects are negligible.
-
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.
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.
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.
-
D.
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.
-
E.
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.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
creeping flow
ⓘ
fluid flow regime ⓘ viscous-dominated flow ⓘ |
| appliesTo |
flow around small particles in a viscous fluid
ⓘ
flow in narrow channels at low speed ⓘ motion of microorganisms in viscous environments ⓘ |
| appliesWhen | Reynolds number much less than 1 ⓘ |
| assumes |
incompressible fluid in many applications
ⓘ
steady flow in many applications ⓘ |
| characterizedBy | very low Reynolds number ⓘ |
| contrastedWith |
high Reynolds number flow
ⓘ
inertial flow ⓘ turbulent flow ⓘ |
| fieldOfStudy |
continuum mechanics
ⓘ
fluid mechanics ⓘ |
| governedBy |
Stokes equations
ⓘ
linked to:
Navier–Stokes equations
linearized Navier–Stokes equations ⓘ
linked to:
Navier–Stokes equations
|
| hasApproximation | Oseen approximation for slightly higher Reynolds numbers ⓘ |
| hasDimensionlessParameter | Reynolds number ⓘ |
| hasMathematicalForm |
∇p = μ∇²u
ⓘ
∇·u = 0 for incompressible case ⓘ |
| hasProperty |
absence of flow separation around obstacles
ⓘ
dominant viscous forces ⓘ energy dissipation dominated by viscous effects ⓘ laminar flow ⓘ linear relationship between forces and velocities ⓘ negligible inertial forces ⓘ no turbulence ⓘ pressure and velocity fields satisfy linear PDEs ⓘ reversibility under time reversal in ideal conditions ⓘ |
| hasSolutionType | often solvable by linear superposition ⓘ |
| namedAfter |
George Gabriel Stokes
ⓘ
linked to:
George Stokes
|
| neglects | nonlinear convective acceleration term in Navier–Stokes equations ⓘ |
| relatedTo |
Stokes drag
ⓘ
Stokes law for a sphere ⓘ |
| requires | small characteristic length or velocity or high viscosity ⓘ |
| usedIn |
biological fluid dynamics
ⓘ
colloidal science ⓘ lubrication theory ⓘ microfluidics ⓘ porous media flow modeling ⓘ rheology of complex fluids ⓘ sedimentation analysis ⓘ suspension mechanics ⓘ |
| usedToModel |
drag on micron-sized particles
ⓘ
slow motion of drops and bubbles in viscous liquids ⓘ slow viscous flow in Hele–Shaw cells ⓘ |
| validityCondition | particle Reynolds number much less than 1 ⓘ |
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: Stokes flow Description of subject: Stokes flow is a type of fluid motion dominated by viscous forces and characterized by very low Reynolds numbers, where inertial effects are negligible.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.