English

Exact analytical solution for one nonlinear variational problem of the cavitation theory

Classical Analysis and ODEs 2013-12-10 v1

Abstract

In this paper we investigate the limiting values of the lift and drag coefficients of profiles in the Helmholtz--Kirchhoff (infinite cavity) flow. The coefficients are based on the wetted arc length of profile surfaces. Namely, for a given value of the lift coefficient we find minimum and maximum values of the drag coefficient. Thereby, we determine maximum and minimum values of the lift-to-drag ratios.

Keywords

Cite

@article{arxiv.1312.2206,
  title  = {Exact analytical solution for one nonlinear variational problem of the cavitation theory},
  author = {D. V. Maklakov and I. R. Kayumov},
  journal= {arXiv preprint arXiv:1312.2206},
  year   = {2013}
}

Comments

7 pages, 2 figures

R2 v1 2026-06-22T02:23:11.602Z