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Stokes number

The Stokes number, named after Irish mathematician George Gabriel Stokes, is a dimensionless number corresponding to the behavior of particles suspended in a fluid flow. Stokes number is defined as the ratio of the stopping distance of a particle to a characteristic dimension of the obstacle, or

$Stk = \frac{\tau\,U_o}{d_c}$

where $τ$ is the relaxation time of the particle, $U o$ is the fluid velocity of the flow well away from the obstacle and $d c$ is the characteristic dimension of the obstacle. For $Stk\gg 1$ , particles will continue in a straight line as the fluid turns around the obstacle therefore impacting on the obstacle. For $Stk\ll1$ , particles will follow the fluid streamlines closely.

Additional recommended knowledge

References

Fuks, N. A. (1989). The mechanics of aerosols. New York: Dover Publications. ISBN 0-486-66055-9.
Hinds, William C. (1999). Aerosol technology: properties, behavior, and measurement of airborne particles. New York: Wiley. ISBN 0-471-19410-7.

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Dimensionless numbers in fluid dynamics

Archimedes • Bagnold • Biot • Bond • Brinkman • Capillary • Damköhler • Dean • Deborah • Eckert • Ekman • Eötvös • Euler • Froude • Galilei • Grashof • Hagen • Knudsen • Laplace • Lewis • Mach • Magnetic Reynolds • Marangoni • Morton • Nusselt • Ohnesorge • Péclet • Prandtl • Rayleigh • Reynolds • Richardson • Roshko • Rossby• Ruark • Schmidt • Sherwood • Stanton • Stokes • Strouhal • Suratman • Taylor • Weber • Weissenberg • Womersley

Category: Discrete-phase flow

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Stokes_number". A list of authors is available in Wikipedia.

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