Search results
Results from the WOW.Com Content Network
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]
In acoustics, Stokes's law of sound attenuation is a formula for the attenuation of sound in a Newtonian fluid, such as water or air, due to the fluid's viscosity.It states that the amplitude of a plane wave decreases exponentially with distance traveled, at a rate α given by = where η is the dynamic viscosity coefficient of the fluid, ω is the sound's angular frequency, ρ is the fluid ...
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.
The viscous resistance for a spherical particle is given by Stokes' law: = where η is the viscosity of the medium, r 0 is the radius of the particle and v is the velocity of the particle. Stokes' law applies to small spheres in an infinite amount of fluid at the small Reynolds Number limit.
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 ...
Soon after, in 1851, Stokes calculated the drag on a sphere in Stokes flow, known as Stokes' law. [12] Stokes flow is the low Reynolds-number limit of the Navier–Stokes equations describing the motion of a viscous liquid.
Stokes law can refer to: Stokes' law, for friction force; Stokes' law (sound attenuation), describing attenuation of sound in Newtonian liquids; See also.
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 ...