What is the S-coefficient in Magnus Effect?

In summary, the formula for Magnus effect involves the variables v, ω, and S, with S representing the air resistance coefficient across the surface of a sphere. To find the value of S, it must be measured and can vary depending on factors such as temperature, pressure, viscosity, and surface roughness. Some sub-fields have tables of values for S.
  • #1
smee
2
0
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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  • #2
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.
 

What is the S-coefficient in Magnus Effect?

The S-coefficient in Magnus Effect is a measure of the amount of force exerted by the Magnus Effect on a spinning object. It is also known as the spin parameter or spin factor.

How is the S-coefficient calculated?

The S-coefficient is calculated by dividing the angular velocity of the spinning object by the linear velocity of the air around it. This ratio determines the strength of the Magnus Effect on the object.

What is the significance of the S-coefficient in the Magnus Effect?

The S-coefficient is important because it helps scientists and engineers understand and predict the behavior of spinning objects in flight. It also plays a crucial role in the design and development of sports equipment such as golf balls, tennis balls, and baseballs.

What factors can affect the value of the S-coefficient?

The value of the S-coefficient can be influenced by several factors, including the shape and size of the spinning object, the speed and direction of the airflow, and the surface roughness of the object. Additionally, the S-coefficient can vary depending on the type of fluid (air or water) and the temperature.

How does the S-coefficient contribute to lift and drag in the Magnus Effect?

The S-coefficient is directly related to the lift and drag forces produced by the Magnus Effect. A higher S-coefficient results in a greater lift force and a lower drag force, while a lower S-coefficient leads to a lower lift force and a higher drag force. This relationship is crucial in understanding the flight trajectory of spinning objects.

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