Lift of a Rotating Cylinder in Inviscid Flow

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Discussion Overview

The discussion centers on the phenomenon of lift generated by a spinning cylinder in an inviscid flow, exploring theoretical mechanisms and the implications of simulations that suggest lift can occur despite the absence of viscosity.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions how lift can be generated in inviscid flow, referencing a NASA simulation that suggests lift occurs despite the lack of viscosity.
  • Another participant asserts that in a truly inviscid flow, lift would not occur, and that the analysis of a rotating cylinder typically involves approximating viscosity effects using a point vortex.
  • A participant seeks clarification on the concept of point vortices, indicating a lack of prior exposure to the topic.
  • It is suggested that the simulation shows lift because the effects of viscosity are mathematically incorporated into the model, despite the simulation being labeled as inviscid.
  • One participant explains that the introduction of fluid rotation, which would normally be caused by viscosity, breaks the symmetry of the flow, leading to differences in velocity and pressure that result in lift.

Areas of Agreement / Disagreement

Participants express differing views on whether lift can be generated in a truly inviscid flow, with some asserting it cannot while others discuss the implications of simulations that suggest otherwise. The discussion remains unresolved regarding the exact mechanisms at play.

Contextual Notes

Limitations include the dependence on the definitions of inviscid flow and the assumptions made in the simulations regarding the effects of viscosity and boundary layers.

Red_CCF
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Hi

I am wondering why a spinning cylinder will produce lift in an inviscid flow. From:
http://www.grc.nasa.gov/WWW/k-12/airplane/cyl.html

one of the mechanisms for lift generation was the sticking of fluid particles to the wall of the cylinder. I thought that the no slip condition only applies to viscous fluids so if the fluid was inviscid I don't see how lift can be generated. However, in the simulations in the link, the flow was simulated inviscid yet there is lift, why is this?

Thanks
 
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In a truly inviscid flow it won't. When one analyzes a rotating cylinder with potential flow, one is essentially approximating the effect of viscosity through the use of a point vortex.
 
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boneh3ad said:
In a truly inviscid flow it won't. When one analyzes a rotating cylinder with potential flow, one is essentially approximating the effect of viscosity through the use of a point vortex.

Hi

Thanks for the response.

Can you briefly describe what point vortex are? I was never introduced this.

And just to confirm, in the NASA simulation at http://www.grc.nasa.gov/WWW/k-12/airplane/cyl.html they state

This type of flow field is called an ideal flow field. It is produced by superimposing the flow field from an ideal vortex centered in the cylinder with a uniform free stream flow. There is no viscosity in this model (no boundary layer on the cylinder) even though this is the real origin of the circulating flow!

and is the reason that the simulation still shows lift when the cylinder spins because the supposed effect of viscosity is superimposed mathematically to the effect of the flow in the simulation that has no viscosity or boundary layer?

Thanks very much
 
You essentially insert manually the fluid rotation that viscosity would have caused. This breaks the symmetry of the flow, making flow on one side of the cylinder faster than the flow on the other one. Velocity is linked to pressure, which is what creates your lift.
 

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