Skip to main content

Stochastic Effects of the Meander on the Dispersion of Pollutants in the Planetary Boundary Layer Under Low Wind Conditions

  • Conference paper
  • First Online:
Integral Methods in Science and Engineering
  • 283 Accesses

Abstract

In the present contribution, we discuss a pollution dispersion model in three dimensions which takes into account effects due to meandering. To this end, scenarios with wind speeds below 2 m/s are considered, and in the lateral dispersion of the plume the effect of meandering is included by means of a stochastic process. The proposed model contemplates turbulent diffusive parameters for the three spatial dimensions, and the effect of meandering in the wind field is taken care of upon inserting fluctuations in the longitudinal and transverse wind speeds, respectively. The model was validated against the data from the INEL experiment for which wind speeds were below 1 m/s. Moreover, the specification for meandering was also extracted from these datasets. Simulated values for the concentrations were in fairly good agreement with the observed data from experiment, which in turn qualifies the present model as a tool for applications by regulatory authorities.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Anfossi, D., Alessandrini, S., Casteli, S.T., Ferrero, E.,Oettl, D., Degrazia, G.: Tracer dispersion simulation in low wind speed conditions with a new 2D Langevin equation system. Atmos. Environ. 40, 7234–7245 (2006)

    Article  Google Scholar 

  2. Arya, S.P.: Air Pollution Meteorology and Dispersion. Oxford University Press, New York (1999)

    Google Scholar 

  3. Buske, D., Vilhena, M.T., Tirabassi, T., Bodmann, B.: Air pollution steady-state advection-diffusion equation: the general three-dimensional solution. J. Environ. Prot. 3(9A), 1124–1134 (2012), https://doi.org/10.4236/jep.2012.329131

    Article  Google Scholar 

  4. Carvalho, C.J, Degrazia, A.G., Vilhena, T.M., Magalhaes, G.S., Goulart G.A., Anfossi, D., Acevedo C.O., Moraes L.L.O.: Parameterization of meandering phenomenon in a stable atmospheric boundary layer. Physica A 368, 247–256 (2006)

    Article  Google Scholar 

  5. Frenkiel, F.: Flow field of homogeneous turbulence. Adv. Appl. Mech. 3, 61 (1953)

    Article  MathSciNet  Google Scholar 

  6. Goncalves, G.A., Buske, D., Quadros, R.S., Weymar, G.J.: A new approach to solve the time-dependent three-dimensional advection-diffusion equation applied to model air pollution dispersion in the planetary boundary layer. Int. J. Develop. Res. 8(5), 20535–20543 (2018)

    Google Scholar 

  7. Goyal, P., Krishna, T.V.B.P.S.R: Dispersion of pollutants in convective low wind: a case study of Delhi. Atmos. Environ. 36, 2071–2079 (2002)

    Article  Google Scholar 

  8. Hanna, S.R.: Confidence limit for air quality models as estimated by bootstrap and jackknife resampling methods. Atmos. Environ. 23, 1385–1395 (1989)

    Article  Google Scholar 

  9. Oettl, D., Goulart, A., Degrazia, G., Anfossi, D.: A new hypothesis on meandering atmospheric flows in low wind speed conditions. Atmosp. Environ. 39, 1739–1748 (2006)

    Google Scholar 

  10. Sagendorf, J.F., Dickson, C.R.: Diffusion under low wind-speed, inversion conditions. U. S. National Oceanics and Atmospherics Administration, Technical Memorandum, ERL ARL-52 (1974)

    Google Scholar 

  11. Sharan, M., Yadav, A.K., Modani, M.: Simulation of short-range diffusion experiment in low wind convective conditions. Atmosp. Environ. 36, 1901–1906 (2002)

    Article  Google Scholar 

  12. Stefanello, M.B.: Development of a Lagrangian model to estimate dispersion of passive scalars in meandering conditions of the horizontal wind. (Master Dissertation, in Portuguese) Federal University of Santa Maria, Santa Maria, RS (2017)

    Google Scholar 

  13. World Health Organization: Ambient Air Pollution: A Global Assessment of Exposure and Burden of Disease, p. 121. World Health Organization, Geneva (2016)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Fávero, C., Gonçalves, G.A., Buske, D., Quadros, R.S. (2022). Stochastic Effects of the Meander on the Dispersion of Pollutants in the Planetary Boundary Layer Under Low Wind Conditions. In: Constanda, C., Bodmann, B.E., Harris, P.J. (eds) Integral Methods in Science and Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-07171-3_6

Download citation

Publish with us

Policies and ethics