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  2. Stokes' law - Wikipedia

    en.wikipedia.org/wiki/Stokes'_law

    In fluid dynamics, Stokes' law gives the frictional force – also called drag force – exerted on spherical objects moving at very small Reynolds numbers in a viscous fluid. [1] It was derived by George Gabriel Stokes in 1851 by solving the Stokes flow limit for small Reynolds numbers of the Navier–Stokes equations .

  3. Generalized Stokes theorem - Wikipedia

    en.wikipedia.org/wiki/Generalized_Stokes_theorem

    In vector calculus and differential geometry the generalized Stokes theorem (sometimes with apostrophe as Stokes' theorem or Stokes's theorem), also called the Stokes–Cartan theorem, [1] is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus.

  4. Stokes' theorem - Wikipedia

    en.wikipedia.org/wiki/Stokes'_theorem

    An illustration of Stokes' theorem, with surface Σ, its boundary ∂Σ and the normal vector n.The direction of positive circulation of the bounding contour ∂Σ, and the direction n of positive flux through the surface Σ, are related by a right-hand-rule (i.e., the right hand the fingers circulate along ∂Σ and the thumb is directed along n).

  5. Cunningham correction factor - Wikipedia

    en.wikipedia.org/wiki/Cunningham_correction_factor

    The derivation of Stokes' law, which is used to calculate the drag force on small particles, assumes a no-slip condition which is no longer correct at high Knudsen numbers. The Cunningham slip correction factor allows predicting the drag force on a particle moving a fluid with Knudsen number between the continuum regime and free molecular flow.

  6. Stokes law - Wikipedia

    en.wikipedia.org/wiki/Stokes_law

    Upload file; Search. Search. ... Download as PDF; Printable version ... Appearance. move to sidebar hide. Stokes law can refer to : Stokes' law, for friction ...

  7. Non-dimensionalization and scaling of the Navier–Stokes equations

    en.wikipedia.org/wiki/Non-dimensionalization_and...

    In fluid mechanics, non-dimensionalization of the Navier–Stokes equations is the conversion of the Navier–Stokes equation to a nondimensional form. This technique can ease the analysis of the problem at hand, and reduce the number of free parameters. Small or large sizes of certain dimensionless parameters indicate the importance of certain ...

  8. Dynamic similarity (Reynolds and Womersley numbers)

    en.wikipedia.org/wiki/Dynamic_similarity...

    From the equation it is shown that for a flow with a large Reynolds Number there will be a correspondingly small convective boundary layer compared to the vessel’s characteristic length. [5] By knowing the Reynolds and Womersley numbers for a given flow it is possible to calculate both the transient and the convective boundary layer ...

  9. Stokes formula - Wikipedia

    en.wikipedia.org/wiki/Stokes_formula

    Stokes' formula can refer to: Stokes' law for friction force in a viscous fluid. Stokes' law (sound attenuation) law describing attenuation of sound in Newtonian liquids. Stokes' theorem on the integration of differential forms. Stokes' formula (gravity) a formula in geodesy