Stokes's law¶

{\vec F}_{\rm d} is the frictional force – known as Stokes's drag – acting on the interface between the fluid and the particle (newtons, kg m s −2 ).

Version: v1 · 2026-09-28 · History
Domain-specific #: 12288
Domain group: Natural Sciences
Origin domain: Physics
Subdomain: Fluid Dynamics → Physics

Core Idea¶

Stokes's law is treated here as the recurring naturalsciencesengineeringhealth identity summarized by this source-grounded definition: {\vec F}{\rm d} is the frictional force – known as Stokes's drag – acting on the interface between the fluid and the particle (newtons, kg m s −2 ). In fluid dynamics, Stokes's law gives the frictional force – also called drag force – exerted on spherical objects moving at very small Reynolds numbers in a viscous fluid. It was derived by George Gabriel Stokes in 1851 by solving the Stokes flow limit for small Reynolds numbers of the Navier–Stokes equations.

Scope of Application¶

Transversal flow around a sphere. In this cylindrical coordinate system, the incompressible flow can be described with a Stokes stream function , depending on and.
Transversal flow around a sphere. The Stokeslet is the Green's function of the Stokes-Flow-Equations.
Statement of the law. The force of viscosity on a small sphere moving through a viscous fluid is given by.
Statement of the law. {\vec F}{\rm d} is the frictional force – known as Stokes's drag – acting on the interface between the fluid and the particle (newtons, kg m s −2 ).
Statement of the law. (some authors use the symbol ) is the dynamic viscosity (Pascal-seconds, kg m −1 s −1 ).

Clarity¶

A clear use of Stokes's law names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is {\vec F}{\rm d} is the frictional force – known as Stokes's drag – acting on the interface between the fluid and the particle (newtons, kg m s −2 ).

Manages Complexity¶

Stokes's law compresses multiple naturalsciencesengineeringhealth details into a stable diagnostic relation. The source shows both the central mechanism—the force of viscosity on a small sphere moving through a viscous fluid is given by.—and the practical consequence—{\vec F}{\rm d} is the frictional force – known as Stokes's drag – acting on the interface between the fluid and the particle (newtons, kg m s −2 ).

Abstract Reasoning¶

Type the carrier. Identify the naturalsciencesengineeringhealth entities to which the claim applies.
State the relation. Use the source-grounded identity: {\vec F}{\rm d} is the frictional force – known as Stokes's drag – acting on the interface between the fluid and the particle (newtons, kg m s −2 ).
Check operation and conditions. Additional forces like those by gravity and buoyancy have not been taken into account, but can easily be added since the above equations are linear, so linear superposition of solutions and associated forces can be.

Knowledge Transfer¶

Within the home domain. Knowledge about Stokes's law transfers literally when a new case preserves the same carrier type, relation, and recognition test. In this cylindrical coordinate system, the incompressible flow can be described with a Stokes stream function , depending on and. The Stokeslet is the Green's function of the Stokes-Flow-Equations. Beyond the home domain. No canonical parent is asserted for Stokes's law. An outside case receives the specialist name only when the same typed roles and rejection conditions can be filled literally; otherwise the comparison remains an analogy pending later graph densification.

Neighborhood in Abstraction Space¶

Stokes's law sits in a crowded region of the domain-specific corpus (32^nd percentile for distinctiveness): several abstractions share nearly its structure, so a description that fits it tends to fit its neighbors too.

Family — Continuum Mechanics & Field Models (42 abstractions)

Nearest neighbors

Computed from structural-signature embeddings · 2026-10-08