Shock wave interaction with area changes in ducts

O. Igra, T. Elperin, J. Falcovitz, B. Zmiri

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


Whitham's approximation for handling shock wave propagation in area changes (reductions) in a duct was checked in comparison with a numerical solution. Also the Whitham approximation for shock wave propagation from a constant cross-sectional duct to a duct of a smaller cross-sectional area was studied and compared with a numerical solution. It was found that for modest incident shock Mach numbers and modest area reductions the Whitham approximation provided a fair solution for the shock Mach number and for the post-shock pressure. For higher shock Mach numbers and/or area reductions, large discrepancies exit between the approximate and exact solutions. A wider range of applicability of the Whitham approximation is found for the monotonical area reduction case; it is quite narrow for the passage of a shock wave from a wider to a narrower duct case. In addition, the effect of the extent of the area change region on the time required for reaching a quasi-steady flow was studied. It was shown that the longer the area change segment is, the longer it takes to reach a quasi-steady flow.

Original languageEnglish
Pages (from-to)233-238
Number of pages6
JournalShock Waves
Issue number3
StatePublished - 1 Sep 1994


  • Duct flow
  • Quasi one-dimensional flow
  • Shock propagation
  • Whitham's theory

ASJC Scopus subject areas

  • Mechanical Engineering
  • General Physics and Astronomy


Dive into the research topics of 'Shock wave interaction with area changes in ducts'. Together they form a unique fingerprint.

Cite this