Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Brief Outline of the Equations of Fluid Flow Read chapter Read first chapter

2019 | OriginalPaper | Chapter

2. Waves of Finite Amplitude

Author : Seán Prunty

Published in: Introduction to Simple Shock Waves in Air

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The propagation of waves of finite amplitude and the change in wave profile leading to the formation of shock waves is the subject matter of this chapter. Simple examples of piston motion are presented to illustrate the formation of a normal shock wave and the time and place for its formation are also discussed. A brief introduction to Riemann invariants and the method of characteristics is presented and some examples to illustrate the method of characteristics in solving partial differential equations are outlined. The solution of nonlinear equations that result in the characteristics intersecting and the formation of shock waves are illustrated. The chapter concludes with some examples to illustrate the application of the method of characteristics and Riemann invariants to simple flow problems involving piston motion.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
previous chapter Brief Outline of the Equations of Fluid Flow
next chapter Conditions Across the Shock: The Rankine-Hugoniot Equations
Literature
1.
W. Band, Introduction to Mathematical Physics (Van Nostrand Company, Inc., Princeton, NJ, 1959)MATH
2.
S. Temkin, Elements of Acoustics (Wiley, New York, 1981), Section 3.7
3.
J.D. Anderson, Modern Compressible Flow with Historical Perspective, 3rd edn. (McGraw-Hill, New York, 2003), Chapter 7
4.
L.D. Landau, E.M. Lifshitz, Fluid Mechanics (Pergamon Press, London, 1966), p. 366
5.
N. Curle, H.J. Davies, Modern Fluid Dynamics, vol 2 (Van Nostrand Reinhold Company, London, 1971), p. 68MATH
6.
O.V. Rudenko, S.I. Soluyan, Theoretical Foundations of Nonlinear Acoustics (Consultants Bureau, A Division of Plenum Publishing Company, New York, 1977), Chapter 1CrossRef
7.
D. Mihalas, B. Weibel-Mihalas, Foundations of Radiation Hydrodynamics (Dover Publications, Inc., New York, 1999), p. 227MATH
8.
W. Band, G.E. Duvall, Physical nature of shock propagation. Am. J. Phys. 29, 780 (1961)CrossRef
9.
W.C. Griffith, W. Bleakney, Shock waves in gases. Am. J. Phys. 22, 597 (1954)CrossRef
10.
N. Curle, H.J. Davies, Modern Fluid Dynamics, vol 2 (Van Nostrand Reinhold Company, London, 1971), Section 3.3.2MATH
11.
L.D. Landau, E.M. Lifshitz, Fluid Mechanics (Pergamon Press, London, 1966), Chapter 9
12.
H.W. Liepmann, A. Roshko, Elements of Gas Dynamics (Dover Publications Inc., Mineola, NY, 1956), Section 3.9MATH
13.
14.
R. Courant, K.O. Friedrichs, Supersonic Flow and Shock Waves (Interscience Publishers, Inc., New York, 1956)MATH
15.
A.R. Paterson, A First Course in Fluid Dynamics (Cambridge University Press, London, 1983), Chapter 14CrossRef
16.
J.D. Logan, Applied Mathematics, 2nd edn. (Wiley, New York, 1977), Chapter 6MATH
17.
A.J. Chorin, J.E. Marsden, A Mathematical Introduction to Fluid Mechanics (Springer, New York, 1979), Chapter 3CrossRef
18.
F.H. Harlow, LA-2412 Report (Los Alamos Scientific Laboratory of the University of California, Los Alamos, New Mexico, 1960), Chapter 3
19.
M.A. Saad, Compressible Fluid Flow (Prentice-Hall, Inc., Englewood Cliffs, NJ, 1985), Chapter 9
20.
J. Billingham, A.C. King, Wave Motion (Cambridge University Press, New York, 2000), Chapter 7MATH
21.
O. Regev, O.M. Umurhan, P.A. Yecko, Modern Fluid Dynamics for Physics and Astrophysics (Springer, New York, 2016), Chapter 6CrossRef
22.
J.H.S. Lee, The Gas Dynamics of Explosions (Cambridge University Press, New York, 2016), Chapter 1CrossRef
23.
W.A. Strauss, Partial Differential Equations: An Introduction (Wiley, New York, 1992), Chapter 14MATH
24.
P.J. Olver, Introduction to Partial Differential Equations (Springer, Cham, 2014)CrossRef
25.
S. Salsa, Partial Differential Equations in Action: From Modelling to Theory (Springer, Milan, Italy, 2008), Chapter 4MATH
Metadata
Title
Waves of Finite Amplitude
Author
Seán Prunty
Copyright Year
2019
Book
Introduction to Simple Shock Waves in Air

Print ISBN: 978-3-030-02564-9

Electronic ISBN: 978-3-030-02565-6

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-02565-6_2

Premium Partners

    Image Credits