Rayleigh Dissipation function for aerodynamic Drag

In summary, the Rayleigh Dissipation function is a mathematical representation of the energy lost due to air resistance or aerodynamic drag. It is directly related to aerodynamic drag and is calculated by taking the dot product of velocity and drag force vectors. This function is commonly used in aerodynamics and fluid mechanics for analysis and design purposes, but it has limitations in its accuracy due to simplifications and not accounting for certain factors.
  • #1
cobalt001
1
0
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:
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  • #2
try googling non-linear drag. It's expansions should include both linear and squared terms
 

Related to Rayleigh Dissipation function for aerodynamic Drag

1. What is the Rayleigh Dissipation function for aerodynamic Drag?

The Rayleigh Dissipation function for aerodynamic Drag is a mathematical representation of the energy that is lost due to air resistance or aerodynamic drag. It is used to calculate the amount of energy that is dissipated as a body moves through a fluid, such as air.

2. How is the Rayleigh Dissipation function related to aerodynamic drag?

The Rayleigh Dissipation function is directly related to aerodynamic drag as it represents the energy that is lost due to the drag force acting on a moving body. It is an important factor in understanding and predicting the amount of drag that an object will experience in a fluid medium.

3. How is the Rayleigh Dissipation function calculated?

The Rayleigh Dissipation function is calculated by taking the dot product of the velocity vector of the body and the drag force vector. This dot product is then integrated over the entire surface of the body to get the total amount of energy that is dissipated due to aerodynamic drag.

4. What are the applications of the Rayleigh Dissipation function?

The Rayleigh Dissipation function is commonly used in the fields of aerodynamics and fluid mechanics to analyze and predict the effects of drag on various objects, such as airplanes, cars, and ships. It is also used in the design and optimization of aerodynamic shapes and structures.

5. Are there any limitations to the Rayleigh Dissipation function?

While the Rayleigh Dissipation function is a useful tool for understanding aerodynamic drag, it is based on certain assumptions and simplifications and may not accurately reflect the complex dynamics of real-world situations. It also does not take into account factors such as turbulence and compressibility, which can affect the amount of drag experienced by an object.

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