Iribarren number

Spilling breaker.
Spilling breaker.
Plunging breaker.
Plunging breaker.
Collapsing breaker.
Collapsing breaker.
Surging breaker.
Surging breaker.
Breaking wave types: free surface and bubble plumes, as redrawn from photographs taken during a wave flume experiment.[1]

In fluid dynamics, the Iribarren number or Iribarren parameter – also known as the surf similarity parameter and breaker parameter – is a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures. The parameter is named after the Spanish engineer Ramón Iribarren Cavanilles (1900–1967),[2] who introduced it to describe the occurrence of wave breaking on sloping beaches.[3] The parameter used to describe breaking wave types on beaches; or wave run-up on – and reflection by – beaches, breakwaters and dikes.[4][5][6]

A plot of Iribarren Number as a function of wave height with constant beach steepness.
Iribarren Number (ξ0) as a function of wave height with constant beach steepness of 7.5 degrees.

Iribarren's work was further developed by Jurjen Battjes in 1974, who named the parameter after Iribarren.[4][7][8]

The importance of this parameter for so many aspects of waves breaking on slopes appears to justify that it be given a special name. In the author's opinion it is appropriate to call it the "Iribarren number" (denoted by "Ir"), in honor of the man who introduced it and who has made many other valuable contributions to our knowledge of water waves.

— Jurjen A. Battjes, "Surf Similarity", Proceedings of the 14th International Conference on Coastal Engineering (1974)[4]
  1. ^ Kjeldsen, S.P. (1968), Bølge brydning, fysisk beskrivelse [Wave breaking, physical description] (in Danish), Technical University of Denmark, M.Sc. thesis, 110 pp
  2. ^ Real Academia de Ciencias Exactas, Físicas y Naturales (Spanish Royal Academy of Sciences) (2003), Relación de Académicos desde el Año 1847 hasta el 2003 (PDF) (in Spanish), pp. 24–25
  3. ^ Iribarren & Nogales (1949)
  4. ^ a b c Battjes (1974)
  5. ^ Holthuijsen (2007)
  6. ^ Bruun (1984)
  7. ^ Iribarren Cavanilles, R.; Nogales y Olano, C. (1952). "Spanish practice in harbor design". Coastal Engineering Proceedings. 1(3) (13): 13. doi:10.9753/icce.v3.13. Retrieved 5 December 2022.
  8. ^ Schiereck, G.J.; Verhagen, H.J. (2016). Introduction to bed, bank and shoreline protection. Delft, The Netherlands: VSSD. ISBN 978-90-6562-306-5.