What is the S-coefficient in Magnus Effect?

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SUMMARY

The S-coefficient in the Magnus Effect represents the air resistance coefficient across the surface of a sphere and is calculated using the formula [F][/m] = S (v × ω), where v is the velocity of the fluid and ω is the angular velocity. The value of S is not fixed; it varies based on factors such as temperature, pressure, viscosity, and the roughness of the sphere's surface. For precise applications, it is essential to measure S directly or refer to established tables of values within specific sub-fields.

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smee
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Hello,
I am studying Magnus Effect for the first time, I would like some help here, please.

The formula for Magnus effect as shown was:

[F][/m] = S (v × ω)

Where v = velocity of fluid,
ω = angular velocity,
S = air resistance coefficient across the surface of sphere.

How can I find the value of S? Is it fixed or does it need another formula?

Thank you for your help in advance. :)
 
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You pretty much have to measure it.
It depends on things like the temperature, pressure, viscosity and constituents of the fluid and the roughness of the surface.

Within narrow sub-fields there will be tables of values.
 

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