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  2. Stokes' law - Wikipedia

    en.wikipedia.org/wiki/Stokes'_law

    The importance of Stokes' law is illustrated by the fact that it played a critical role in the research leading to at least three Nobel Prizes. [5] Stokes' law is important for understanding the swimming of microorganisms and sperm; also, the sedimentation of small particles and organisms in water, under the force of gravity. [5]

  3. Stokes law - Wikipedia

    en.wikipedia.org/wiki/Stokes_law

    Download as PDF; Printable version; In other projects ... move to sidebar hide. Stokes law can refer to: Stokes' law, for friction force; Stokes' law (sound ...

  4. Navier–Stokes equations - Wikipedia

    en.wikipedia.org/wiki/Navier–Stokes_equations

    The Navier–Stokes equations (/ n æ v ˈ j eɪ s t oʊ k s / nav-YAY STOHKS) are partial differential equations which describe the motion of viscous fluid substances. They were named after French engineer and physicist Claude-Louis Navier and the Irish physicist and mathematician George Gabriel Stokes. They were developed over several decades ...

  5. Derivation of the Navier–Stokes equations - Wikipedia

    en.wikipedia.org/wiki/Derivation_of_the_Navier...

    This equation is called the mass continuity equation, or simply the continuity equation. This equation generally accompanies the Navier–Stokes equation. In the case of an incompressible fluid, ⁠ Dρ / Dt ⁠ = 0 (the density following the path of a fluid element is constant) and the equation reduces to:

  6. Geomathematics - Wikipedia

    en.wikipedia.org/wiki/Geomathematics

    In the soil aspect things like Darcy's law, Stokes' law, and porosity are used. Darcy's law is used when one has a saturated soil that is uniform to describe how fluid flows through that medium. [10] This type of work would fall under hydrogeology. Stokes' law measures how quickly different sized particles will settle out of a fluid. [10]

  7. Navier–Stokes existence and smoothness - Wikipedia

    en.wikipedia.org/wiki/Navier–Stokes_existence...

    In mathematics, the Navier–Stokes equations are a system of nonlinear partial differential equations for abstract vector fields of any size. In physics and engineering, they are a system of equations that model the motion of liquids or non-rarefied gases (in which the mean free path is short enough so that it can be thought of as a continuum mean instead of a collection of particles) using ...

  8. 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.

  9. Drag (physics) - Wikipedia

    en.wikipedia.org/wiki/Drag_(physics)

    Stokes derived the drag around a sphere at very low Reynolds numbers, the result of which is called Stokes' law. [30] In the limit of high Reynolds numbers, the Navier–Stokes equations approach the inviscid Euler equations, of which the potential-flow solutions considered by d'Alembert are solutions. However, all experiments at high Reynolds ...