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  2. Stokes number - Wikipedia

    en.wikipedia.org/wiki/Stokes_number

    The Stokes number (Stk), named after George Gabriel Stokes, is a dimensionless number characterising the behavior of particles suspended in a fluid flow. The Stokes number is defined as the ratio of the characteristic time of a particle (or droplet) to a characteristic time of the flow or of an obstacle, or

  3. Stokes' law - Wikipedia

    en.wikipedia.org/wiki/Stokes'_law

    is the frictional force – known as Stokes' drag – acting on the interface between the fluid and the particle (newtons, kg m s −2); μ (some authors use the symbol η ) is the dynamic viscosity ( Pascal -seconds, kg m −1 s −1 );

  4. Stokes flow - Wikipedia

    en.wikipedia.org/wiki/Stokes_flow

    Shown is a sphere in Stokes flow, at very low Reynolds number. Stokes flow (named after George Gabriel Stokes), also named creeping flow or creeping motion, [1] is a type of fluid flow where advective inertial forces are small compared with viscous forces. [2] The Reynolds number is low, i.e. . This is a typical situation in flows where the ...

  5. Dimensionless numbers in fluid mechanics - Wikipedia

    en.wikipedia.org/wiki/Dimensionless_numbers_in...

    Dimensionless numbers (or characteristic numbers) have an important role in analyzing the behavior of fluids and their flow as well as in other transport phenomena. [1] They include the Reynolds and the Mach numbers, which describe as ratios the relative magnitude of fluid and physical system characteristics, such as density, viscosity, speed of sound, and flow speed.

  6. Einstein relation (kinetic theory) - Wikipedia

    en.wikipedia.org/wiki/Einstein_relation_(kinetic...

    Stokes–Einstein–Sutherland equation, for diffusion of spherical particles through a liquid with low Reynolds number: = Here q is the electrical charge of a particle; μ q is the electrical mobility of the charged particle; η is the dynamic viscosity;

  7. Particle-laden flow - Wikipedia

    en.wikipedia.org/wiki/Particle-laden_flow

    The starting point for a mathematical description of almost any type of fluid flow is the classical set of Navier–Stokes equations.To describe particle-laden flows, we must modify these equations to account for the effect of the particles on the carrier, or vice versa, or both - a suitable choice of such added complications depend on a variety of the parameters, for instance, how dense the ...

  8. Airy wave theory - Wikipedia

    en.wikipedia.org/wiki/Airy_wave_theory

    The Stokes drift velocity ū S, which is the particle drift after one wave cycle divided by the period, can be estimated using the results of linear theory: [38] u ¯ S = 1 2 σ k a 2 cosh ⁡ 2 k ( z + h ) sinh 2 ⁡ k h e k , {\displaystyle {\bar {\mathbf {u} }}_{S}={\tfrac {1}{2}}\sigma ka^{2}{\frac {\cosh 2k(z+h)}{\sinh ^{2}kh}}\mathbf {e ...

  9. Lagrangian particle tracking - Wikipedia

    en.wikipedia.org/wiki/Lagrangian_Particle_Tracking

    It is also commonly referred to as Discrete Particle Simulation (DPS). Some simulation cases for which this method is applicable are: sprays, small bubbles, dust particles, and is especially optimal for dilute multiphase flows with large Stokes number. [3] [better source needed]