What Is the Equation Relating Wind Erosivity to Velocity and Air Density Called?

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SUMMARY

The equation relating wind erosivity to velocity and air density is expressed as E = V3ρ, where E represents erosivity, V denotes wind velocity, and ρ signifies air density. This relationship indicates that wind erosivity is a polynomial function of wind velocity, specifically cubic, meaning that if wind velocity doubles, erosivity increases by a factor of eight, and if it triples, erosivity increases by a factor of twenty-seven. The discussion clarifies that this equation does not have a widely recognized name, as it does not qualify as an exponential function due to the absence of wind speed in the exponent.

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Gondur
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wind velocity
  • E = V3rho, where E is erosivity , V is velocity and rho is air density
  • thus the erosivity of wind is an exponential function of wind velocity, i.e. if the wind velocity doubles, the wind is 8X more erodible or, if it triples, the wind is 27 times more erodible
  • that is why we observe massive wind erosion (dust) with a significant increase in wind speed
Is there a name for the equation in bold?
 
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Gondur said:
thus the erosivity of wind is an exponential function of wind velocity
No, that would need the wind speed in the exponent. Otherwise it is not an exponential function. It is a polynomial function here.

I don't know if that equation has a special name.
 

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