Skip to main content
SpringerLink
Log in

Features of sound refraction in the atmosphere in fog

  • Published:
Izvestiya, Atmospheric and Oceanic Physics Aims and scope Submit manuscript

Abstract

The reflection and refraction of acoustic waves at the air-fog interface are considered. The phase velocity and the coefficient of sound damping for fog, as well as the reflection and refraction coefficients at normal and oblique incidences of a wave, are calculated. A dependence of the refraction angle on a frequency and the angle of acoustic wave incidence on the air-mist interface is studied. Based on the analytical expressions obtained and the analysis of numerical calculations, it is established that if a wave is incident from fog to the interface there is a critical angle of incidence so that total internal reflection occurs at greater angles. It is shown that the total internal reflection does not occur when a wave is incident from air on the air-fog interface.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. Sh. Shagapov, “On the theory of sound propagation in fog,” Izv. Akad. Nauk, Fiz. Atmos. Okeana 24(5), 506–512 (1988).

    Google Scholar 

  2. R. I. Nigmatulin, A. I. Ivandaev, and D. A. Gubaiullin, “Effect of the non-monotonic dependence of sound dissipation on the concentration of drops in the gas-suspension acoustics,” Dokl. Akad. Nauk SSSR 316(3), 601–605 (1991).

    Google Scholar 

  3. G. A. Davidson, “Sound propagation in fogs,” J. Atmos. Sci. 32(11), 2201–2205 (1975).

    Article  Google Scholar 

  4. R. Ishii and H. Matsuhisa, “Steady reflection, absorption and transmission of small disturbances by a screen of dusty gas,” J. Fluid Mech. 130, 259–277 (1983).

    Article  Google Scholar 

  5. V. I. Arabadzhi, The Secrets of Simple Water (Znanie, Moscow, 1973) [in Russian].

    Google Scholar 

  6. R. I. Nigmatulin, Basics of Mechanics of Heterogeneous Media (Nauka, Moscow, 1978).

    Google Scholar 

  7. L. F. Lependin, Acoustics (Vysshaya shkola, Moscow, 1978) [in Russian].

    Google Scholar 

  8. N. B. Vargaftik, Handbook of Thermophysical Properties of Gases and Liquids (Nauka, Moscow, 1972) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, pr. Oktyabrya 71, Ufa, 450054, Russia

    V. Sh. Shagapov

  2. Bashkir State University, Birsk Branch, ul. Internatsional’naya 10, Birsk, 452450, Russia

    V. V. Sarapulova

Authors
  1. V. Sh. Shagapov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. V. Sarapulova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. Sh. Shagapov.

Additional information

Original Russian Text © V.Sh. Shagapov, V.V. Sarapulova, 2014, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2014, Vol. 50, No. 6, pp. 683–691.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shagapov, V.S., Sarapulova, V.V. Features of sound refraction in the atmosphere in fog. Izv. Atmos. Ocean. Phys. 50, 602–609 (2014). https://doi.org/10.1134/S0001433814060140

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001433814060140

Keywords

Search

Navigation