Abstract
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 language | English |
|---|---|
| Pages (from-to) | 41-57 |
| Number of pages | 17 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 62 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2001 |
Keywords
- Cross-sectional loading
- Inviscid hydrodynamics
- Slender structure