Unsteady free surface flow above a moving circular cylinder

V. K. Kostikov*, N. I. Makarenko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


A problem on non-stationary free surface flow of infinitely deep ideal fluid generated by the motion of a submerged body is considered. The water wave problem is reduced to the integral–differential system of equations for the functions defining free surface shape, normal, and tangential velocity components on the free boundary. Small-time asymptotic solution is constructed for the case of circular cylinder that moves with constant acceleration from rest. The role of non-linearity is clarified by analysis of this approximate solution which describes the formation of added mass layers, splash jets, and finite amplitude surface waves.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalJournal of Engineering Mathematics
Issue number1
Publication statusPublished - 1 Oct 2018
Externally publishedYes


  • Circular cylinder
  • Free surface flow
  • Small-time asymptotics


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