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Stokes' Formula

The force of viscosity acting on a smooth sphere

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The force of viscosity acting on a smooth sphere in stream line motion can be expressed with Stokes' formula:

F = 6 π η r v                                           (1)


F = force (N)

η = viscosity of fluid

r = radius of sphere (m)

v= relative velocity between fluid and sphere (m/s)

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  • en: stokes formula sphere force viscosity
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