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  2. Stokes problem - Wikipedia

    en.wikipedia.org/wiki/Stokes_problem

    This is considered one of the simplest unsteady problems that has an exact solution for the Navier–Stokes equations. [1] [2] In turbulent flow, this is still named a Stokes boundary layer, but now one has to rely on experiments, numerical simulations or approximate methods in order to obtain useful information on the flow.

  3. Stokes' law - Wikipedia

    en.wikipedia.org/wiki/Stokes'_law

    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 ] In air, the same theory can be used to explain why small water droplets (or ice crystals) can remain suspended in air (as clouds) until they grow to a critical ...

  4. Rayleigh problem - Wikipedia

    en.wikipedia.org/wiki/Rayleigh_problem

    In fluid dynamics, Rayleigh problem also known as Stokes first problem is a problem of determining the flow created by a sudden movement of an infinitely long plate from rest, named after Lord Rayleigh and Sir George Stokes. This is considered as one of the simplest unsteady problems that have an exact solution for the Navier-Stokes equations.

  5. Turbulence modeling - Wikipedia

    en.wikipedia.org/wiki/Turbulence_modeling

    This simple model is the basis for the "law of the wall", which is a surprisingly accurate model for wall-bounded, attached (not separated) flow fields with small pressure gradients. More general turbulence models have evolved over time, with most modern turbulence models given by field equations similar to the Navier–Stokes equations.

  6. Equivalent spherical diameter - Wikipedia

    en.wikipedia.org/wiki/Equivalent_spherical_diameter

    However, real-life particles are likely to have irregular shapes and surface irregularities, and their size cannot be fully characterized by a single parameter. The concept of equivalent spherical diameter has been introduced in the field of particle size analysis to enable the representation of the particle size distribution in a simplified ...

  7. Settling basin - Wikipedia

    en.wikipedia.org/wiki/Settling_basin

    Stokes' law can be used to calculate the size of a settling basin needed in order to remove a desired particle size. Stokes' law gives a settling velocity determining an effective settling basin depth; so solids removal depends upon effective settling basin surface area, while the depth component of settling basin volume remains important for ...

  8. Projection method (fluid dynamics) - Wikipedia

    en.wikipedia.org/wiki/Projection_method_(fluid...

    In computational fluid dynamics, the projection method, also called Chorin's projection method, is an effective means of numerically solving time-dependent incompressible fluid-flow problems. It was originally introduced by Alexandre Chorin in 1967 [ 1 ] [ 2 ] as an efficient means of solving the incompressible Navier-Stokes equations .

  9. Reynolds number - Wikipedia

    en.wikipedia.org/wiki/Reynolds_number

    Under the condition of low Re, the relationship between force and speed of motion is given by Stokes' law. [24] At higher Reynolds numbers the drag on a sphere depends on surface roughness. Thus, for example, adding dimples on the surface of a golf ball causes the boundary layer on the upstream side of the ball to transition from laminar to ...