Skip to main content

Part of the book series: NATO ASI Series ((NSSE,volume 140))

Abstract

This paper first examines the local character of a general flow within which chemical reactions and compressibility effects coexist. Local Mach numbers must not be small in such circumstances, and it is deduced that the “inviscid” Euler equations are adequate to describe all behaviour outside the interior of shock waves (which are therefore treated as discontinuities) when the reactions are of the large-activation energy type.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Aldushin, A.P., Khudyaev, S.I. & Zeldovich, Ya. B. (1981). Archivum Combustionis, 1, 9–21.

    Google Scholar 

  • Cant, R.S. (1984) Ph.D. Thesis, Cranfield Institute of Technology, Cranfield, England.

    Google Scholar 

  • Clarke, J.F. (1983) J. Fluid Mech., 136, 139–166.

    Article  MATH  Google Scholar 

  • Clarke, J.F. (1985a) J. Engg. Math., 19, 105–119.

    Article  MATH  Google Scholar 

  • Clarke, J.F. (1985b) Chapter V in “The Mathematics of Combustion”, Ed. J.D. Buckmaster. SIAM Pa, USA.

    Google Scholar 

  • Clarke, J.F. & Cant, R.S. (1984) Prog. in Astro. & Aeronautics, 95, 142–163.

    Google Scholar 

  • Clarke, J.F., Kassoy, D.R. & Riley, N. (1986). Proc. Roy. Soc. Lond. A, 408, 129–148.

    Article  MATH  Google Scholar 

  • Clarke, J.F. & McChesney, M. (1976) “Dynamics of Relaxing Gases”, Butterworths, London.

    Google Scholar 

  • Clarke, J.F. & Wang, Z.W. (1986) College of Aeronautics Report No. 861.6, Cranfield Institute of Technology, Cranfield, England.

    Google Scholar 

  • Jackson, T.L. & Kapila, A.K. (1985) SIAM J. Appl. Math., 45, 130–137.

    Article  MathSciNet  MATH  Google Scholar 

  • Kassoy, D.R. (1975) Q. J. Mech. Appl. Math., 28, 63–78.

    Article  MATH  Google Scholar 

  • Kassoy, D.R. & Clarke, J.F. (1985) J. Fluid Mech., 250, 253–280.

    Article  Google Scholar 

  • Urtiew, P.A. & Oppenheim, A.K. (1966) Proc. Roy. Soc. Lond., A 295, 13–28.

    Article  Google Scholar 

  • Williams, F.A. (1985) “Combustion Theory” 2nd ed. Benjamin Cummings Pub. Co. Inc., Menlo Park, California.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Martinus Nijhoff Publishers

About this chapter

Cite this chapter

Clarke, J.F. (1988). Combustion and Compressibility in Gases. In: Brauner, CM., Schmidt-Lainé, C. (eds) Mathematical Modeling in Combustion and Related Topics. NATO ASI Series, vol 140. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2770-4_4

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-2770-4_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7745-3

  • Online ISBN: 978-94-009-2770-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics