Skip to main content
SpringerLink
Log in

Steepening of waves in non-ideal reacting gas with dust particles

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

In this paper, the surface theory and compatibility conditions are used to describe the behavior of wave propagation and their culmination into a shock wave in a non-ideal reacting gas with dust particles. The one-dimensional steepening of waves is considered. A Bernoulli-type transport equation for the velocity gradient is obtained. A numerical approach is used to explain the effects of van der Waals excluded volume of the medium, radiation parameter, ratio of specific heats and dust particles.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. TY Thomas Int. J. Eng. Sci. 4(3) 2007 (1966)

  2. B Coleman and E M Gurtin J Chem Phys 47(2) 597 (1967)

  3. A M Anile WAVE MOTION 8(6) 571 (1984)

  4. R Arora and M J Siddiqui J THEOR APP MECH-POL 7 (2013)

  5. M A Grinfeld PMM 47(5) 883 (1978)

  6. C H Radha, V D Sharma and A Jeffrey APPL ANAL 81(4) 867 (2002)

  7. V D Sharma Acta Astronaut 13(3) 95 (1986)

  8. R Shyam, L P Singh and V D Sharma Acta Astronautica 13(3) 95 (1986)

  9. A L Ying and C H Wang T AM MATH SOC 266(2) 361 (1981)

  10. Z H Teng, A J Chorin and T P Liu SIAM J APPL MATH 42(5) 964 (1982)

  11. G I Barenblatt, A J Chorin and A Kast P NATL ACAD SCI USA 94(24) 12762 (1997)

  12. M Torrisi ZAMP 38(1) 117 (1987)

  13. M Torrisi J. Eng. Math. 22 (3) 239 (1988)

  14. A E Medvedev J APPL MECH TECH PHY 42(2) 211 (2001)

  15. M Groppi, K Aoki, G Spiga and V Tritsch Phys Fluids 20(11) 117103 (2008)

  16. G F Carrier J Fluid Mech 4(4) 376 (1958)

  17. M Sommerfeld EXP FLUIDS 34 197 (1985)

  18. A Chauhan and R Arora INDIAN J PHYS (1) (2019)

  19. E Godlewski and P A Raviart Appl Math Model 118 (1996)

  20. J Jena and R Singh Shock Waves 24(2) 211  (2014)

    Article  ADS  Google Scholar 

  21. R Singh and J Jena Lob J Mathe 34(3) 248 (2013)

  22. G Boillat and T Ruggeri Wave Motion 1(2) 149 (1979)

  23. G Boillat and T Ruggeri P ROY SOC EDINB A 83(1) 17 (1979)

  24. A Jeffrey APPL ANAL 3(1) 79 (1973)

  25. A Jeffrey Pitman Publishing 5(5) 230 (1976)

  26. J Jena APPL ANAL 84(1) 37  (2005)

  27. A Mentrelli, T Ruggeri, M Sugiyama and N Zhao WAVE MOTION 45(4)  498  (2008)

    Article  Google Scholar 

  28. C H Radha, V D Sharma and A Jeffrey APPL ANAL 50(3) 145  (1993)

    Google Scholar 

  29. R Singh and J Jena Appl Math Comput 225 638 (2013)

  30. J Jena and V D Sharma J. Eng. Math. 60(1) 43 (2008)

  31. G J Pert J Fluid Mech 100(2) 257 (1980)

  32. M Chadha and J Jena J Comput Appl Math 34(2) 729  (2015)

    MathSciNet  Google Scholar 

Download references

Acknowledgements

The author, Kajal Sharma, acknowledges the financial support awarded by “Department of Science and Technology,” New Delhi, under the scheme Junior Research Fellowship, and the author, Astha Chauhan, is thankful to the “University Grant Commission,” New Delhi, for financial support with grant number 2121440656, Ref. No. 21/12/2014(ii)EU-V.

Author information

Authors and Affiliations

  1. Department of Applied Science and Engineering, Indian Institute of Technology Roorkee, Roorkee, India

    Kajal Sharma, Astha Chauhan & Rajan Arora

Authors
  1. Kajal Sharma
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Astha Chauhan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Rajan Arora
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rajan Arora.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sharma, K., Chauhan, A. & Arora, R. Steepening of waves in non-ideal reacting gas with dust particles. Indian J Phys 95, 1813–1819 (2021). https://doi.org/10.1007/s12648-020-01861-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-020-01861-w

Keywords

Search

Navigation