Magnus force with inviscid flow

In summary, the Magnus effect explains how a rotating ball can create a lift force even in inviscid flow, where there is no slipping between the fluid particles and the object. This is due to the pressure difference created by the rotation of the ball, resulting in a net lift force that acts perpendicular to the direction of motion.
  • #1
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I am taking an introduction to fluids class and the topic of the magnus force came up. The effect of the magnus lift force on an object moving through a viscid flow makes sense to me, but the problem is that the professor also mentioned that there is also magnus lift when a ball rotates through inviscid flow. This doesn't make sense to me since there is slipping between the fluid particles and the rotating ball. How could the rotation of the ball affect the fluid in this case.

http://en.wikipedia.org/wiki/Magnus_effect
 
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  • #2
The Magnus effect is a phenomenon in which a spinning object (such as a ball) creates a force perpendicular to its direction of motion. In the case of inviscid flow, the effect is due to the pressure difference created between the sides of the ball due to its rotation. This pressure difference causes an imbalance in the lift force generated on either side of the ball, resulting in a net lift force that acts perpendicular to the direction of motion. The magnitude of this lift force is proportional to the rate of spin and the velocity of the object.
 

1. What is the Magnus force?

The Magnus force is a physical phenomenon that occurs when a spinning object, such as a ball, experiences a sideways force perpendicular to its direction of motion. This force is caused by the difference in air pressure on the two sides of the spinning object.

2. What is inviscid flow?

Inviscid flow is a term used in fluid dynamics to describe a fluid flow without any viscosity, or internal friction. This means that the fluid particles do not experience any resistance to motion and can move without any loss of energy.

3. How does the Magnus force affect the trajectory of a spinning object?

The Magnus force causes a curved trajectory in spinning objects due to the difference in air pressure on the two sides of the object. This force can either lift or push the object in a direction perpendicular to its motion, resulting in a curved path.

4. What are some real-world applications of the Magnus force with inviscid flow?

The Magnus force with inviscid flow has several applications in sports, such as in soccer, tennis, and golf, where spin is used to control the trajectory of the ball. It is also important in aerodynamics, particularly in the design of helicopter rotor blades and airplane wings.

5. How is the Magnus force with inviscid flow related to the Bernoulli principle?

The Magnus force is a result of the Bernoulli principle, which states that an increase in the velocity of a fluid results in a decrease in pressure. In the case of the Magnus force, the spinning object creates areas of high and low pressure, causing the object to experience a force perpendicular to its motion.

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