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

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The equation relating wind erosivity to velocity and air density is expressed as E = V^3 * rho, where E represents erosivity, V is wind velocity, and rho is air density. This indicates that wind erosivity increases exponentially with wind velocity; for instance, doubling the wind speed results in eight times greater erosivity, while tripling it leads to 27 times more erosivity. The discussion clarifies that the equation is not an exponential function because it does not have wind speed in the exponent, but rather a polynomial function. There is no specific name attributed to this equation. Understanding this relationship is crucial for analyzing wind erosion phenomena.
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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