Modified slender body theory for a structure of variable cross-section

A. R. Galper*, T. Miloh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We consider the hydrodynamic force acting on a slender structure with a variable (in general, time-dependent) circular cross-section. The structure is embedded in a nonuniform ambient flow-field of a perfect fluid. Exact analytical expressions for the cross-sectional loading exerted on the slender structure are presented. The newly found nonlocal terms can lead to a resonant interaction between the nonuniformity of the ambient flow-field and the longitudinal variation of the cross-section.

Original languageEnglish
Pages (from-to)41-57
Number of pages17
JournalSIAM Journal on Applied Mathematics
Issue number1
StatePublished - 2001


  • Cross-sectional loading
  • Inviscid hydrodynamics
  • Slender structure


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