A mathematical note: The dipole potential for the swaying and rolling cylinder

Ozsoysal R.

MECCANICA, vol.39, no.6, pp.521-529, 2004 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 6
  • Publication Date: 2004
  • Doi Number: 10.1007/s11012-004-6058-7
  • Journal Name: MECCANICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.521-529
  • Istanbul Technical University Affiliated: No


In this study, the total velocity potential, for the swaying and rolling cylinder expressed as a sum of a series of linear multi-pole potentials and a dipole potential situated at the origin for incompressible, inviscid and irrotational flow. The non-dimensional expression of the dipole potential and its conjugated stream functions are re-obtained by using the mathematical expressions with complete algebraic manipulations.