Your question leaves me with several question marks. Are you looking into dispersion of airborne particles (transport equations with particles' settling speed)? Or are you looking into erosion by atmospheric wind?

It depends on what you are looking for.  There are some general emission equations for dust generation, but it sounds like you are more interested in some to measure stagnation and it's effect on PM concentrations.  Atmospheric stagnation could increase PM concentrations given constant emissions.  This paper uses a stagnation index to describe meteorological conditions that would lead to higher PM concentrations, such an index might be helpful: http://www.natureasia.com/en/research/highlight/9327   

Hopefully that helps!  

 Dear Ildaura Espin,

To answer your question more concisely, maybe you have to clearly state what kind of effect of wind speed on particles. Wind speed on particle deposition from its suspended status onto wall surfaces? Wind speed on particle resuspension from its dust status into air (thus become suspended)? or even wind speed on particle dispersion (in laminar flow, turbulent flow...)?

There are many references dealing with above issues.

All the best,

Dear @Ildaura Espin

Maybe you will find a part of the answer you seek in the model of aerosol deposition described in my last paper.

Best regards,

Hi Ildaura,

in my experimental studies about effect of vegetation on PM pollution, I highlighted a negative correlation between wind speed and particles concentration. Direction of wind and characteristics of the particles (size, mass etc) are important parameters to be considered in (modeled) studies. Also the number of particles may be affected by wind.

I guess these papers may be of help for you

Cheers Valerio

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5084142/

http://onlinelibrary.wiley.com/doi/10.1002/asl.117/pdf

http://www.sciencedirect.com/science/article/pii/S1878029611001095

Regression models might be better.