Rayleigh Dissipation function for aerodynamic Drag

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SUMMARY

The discussion focuses on modeling aerodynamic drag using the Rayleigh Dissipation function, specifically seeking a formulation for drag forces proportional to the square of velocity. Amir references Greenwood's "Advanced Dynamics" but finds it lacking in this specific area. The suggestion to explore non-linear drag indicates that the required function should incorporate both linear and squared terms. This highlights a gap in existing literature regarding the application of Rayleigh functions to non-linear drag scenarios.

PREREQUISITES
  • Understanding of Lagrange Mechanics
  • Familiarity with Rayleigh Dissipation functions
  • Knowledge of aerodynamic drag concepts
  • Basic grasp of non-linear dynamics
NEXT STEPS
  • Research non-linear drag modeling techniques
  • Explore advanced dynamics literature beyond Greenwood's work
  • Investigate the mathematical formulation of drag forces proportional to the square of velocity
  • Study the application of Rayleigh functions in various mechanical systems
USEFUL FOR

Aerodynamicists, mechanical engineers, and researchers in dynamics looking to deepen their understanding of drag modeling and the application of Rayleigh Dissipation functions in non-linear contexts.

cobalt001
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Hi

I'm trying to model the drag effects in using Lagrange Mechanics and trying to include the effects of aerodynamic drag.

I've read up on the Rayleigh Dissipation functions in Greenwood's "Advanced Dynamics" and a few other books but they always provide the Rayleigh function for drag forces proportional to velocity.

However, I am looking for the function describing a force proportional to the square of velocity.

Can anyone point me to any books or papers on this?

Thanks in advance,
Amir
 
Last edited:
Physics news on Phys.org
try googling non-linear drag. It's expansions should include both linear and squared terms
 

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