generally. The equations of motion for Stokes flow, called the Stokes equations, are a linearization of the Navier–Stokes equations, and thus can be solved...
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Stokes. They were developed over several decades of progressively building the theories, from 1822 (Navier) to 1842–1850 (Stokes). The Navier–Stokes equations...
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derived by George Gabriel Stokes in 1851 by solving the Stokes flow limit for small Reynolds numbers of the Navier–Stokes equations. The force of viscosity...
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Fluid dynamics (redirect from Fluid flow)
Navier–Stokes equations. Direct numerical simulation (DNS), based on the Navier–Stokes equations, makes it possible to simulate turbulent flows at moderate...
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Stokes number (Stk), named after George Gabriel Stokes, is a dimensionless number characterising the behavior of particles suspended in a fluid flow....
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was given by George Stokes in 1845. The assumptions of the equation are that the fluid is incompressible and Newtonian; the flow is laminar through a...
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In fluid dynamics, Stokes problem also known as Stokes second problem or sometimes referred to as Stokes boundary layer or Oscillating boundary layer...
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of flow around a sphere. Stokes' paradox was resolved by Carl Wilhelm Oseen in 1910, by introducing the Oseen equations which improve upon the Stokes equations...
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Slender-body theory (redirect from Slender body theory of fluid flow)
the net effect of the field on the body. Principal applications are to Stokes flow — at very low Reynolds numbers — and in electrostatics. Consider slender...
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Gabriel Stokes calculated the drag on a sphere in Stokes flow, known as Stokes' law. Stokes flow is the low Reynolds-number limit of the Navier–Stokes equations...
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inviscid flow, the Navier–Stokes equation can be simplified to a form known as the Euler equation. This simplified equation is applicable to inviscid flow as...
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measurement Flowmeter Mass flow rate Orifice plate Poiseuille's law Stokes flow "Glossary". Ocean Surface Currents. University of Miami Rosenstiel School...
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Reynolds number (section Flow in a pipe)
for 'bulk' description of turbulent flow, for example using the Reynolds-averaged Navier–Stokes equations. For flow in a pipe or tube, the Reynolds number...
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dynamics, the Stokes stream function is used to describe the streamlines and flow velocity in a three-dimensional incompressible flow with axisymmetry...
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The Navier–Stokes existence and smoothness problem concerns the mathematical properties of solutions to the Navier–Stokes equations, a system of partial...
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imperfections in the flow system. If the Reynolds number is very small, much less than 1, then the fluid will exhibit Stokes, or creeping, flow, where the viscous...
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(disambiguation) Stokes flow Stokes' law Stokes' law of sound attenuation Stokes line Stokes number Stokes parameters Stokes radius Stokes relations Stokes shift...
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Gabriel Stokes, 1st Baronet, (/stoʊks/; 13 August 1819 – 1 February 1903) was an Irish mathematician and physicist. Born in County Sligo, Ireland, Stokes spent...
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Diffusiophoresis and diffusioosmosis (section Derivation of diffusioosmotic velocity from Stokes flow)
{v}}_{\text{slip}}} can also be derived directly from the expression for fluid flow in the Stokes limit for an incompressible fluid, which is η ∇ 2 u = ∇ p {\displaystyle...
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The squirmer is a model for a spherical microswimmer swimming in Stokes flow. The squirmer model was introduced by James Lighthill in 1952 and refined...
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v} instead of v 2 {\displaystyle v^{2}} ; for a sphere this is known as Stokes' law. The Reynolds number will be low for small objects, low velocities...
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Navier–Stokes equations and compressible Favre-averaged Navier-Stokes equations (C-RANS and C-FANS): Start with the C-NS. Assume that any flow variable...
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Oseen equations (redirect from Oseen flow)
the flow velocity used in Stokes' calculations, to solve the problem known as Stokes' paradox. His approximation leads to an improvement to Stokes' calculations...
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Stokes equation may refer to: the Airy equation the equations of Stokes flow, a linearised form of the Navier–Stokes equations in the limit of small Reynolds...
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the case in which you have very low Reynolds number flows (e.g., a Stokes flow), where the flow is fully reversible and thus fully correlated with previous...
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the input data. Saddle point problems arise in the discretization of Stokes flow and in the mixed finite element discretization of Poisson's equation...
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Adams–Stokes syndrome, Stokes–Adams syndrome, Gerbec–Morgagni–Adams–Stokes syndrome or GMAS syndrome is a periodic fainting spell in which there is intermittent...
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Hermann von Helmholtz who published it in 1868) states that the steady Stokes flow motion of an incompressible fluid has the smallest rate of dissipation...
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fluid dynamics, the Stokes drift velocity is the average velocity when following a specific fluid parcel as it travels with the fluid flow. For instance, a...
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Fluid mechanics (redirect from Flow (mechanics))
justification was provided by Claude-Louis Navier and George Gabriel Stokes in the Navier–Stokes equations, and boundary layers were investigated (Ludwig Prandtl...
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