Stokes number

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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

<math>Stk = \frac{\tau\,U_o}{d_c}</math>

where <math>\tau</math> is the relaxation time of the particle, <math>U_o</math> is the fluid velocity of the flow well away from the obstacle and <math>d_c</math> is the characteristic dimension of the obstacle. For <math>Stk\gg 1</math>, particles will continue in a straight line as the fluid turns around the obstacle therefore impacting on the obstacle. For <math>Stk\ll1</math>, particles will follow the fluid streamlines closely.

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• Reynolds number scaling of particle clustering in turbulent aerosols

v • d • e Dimensionless numbers in fluid dynamics

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nl:Getal van Stokes