Hydrodynamic interaction between two polygonal cylinders in uniform potential flow

• Published in: Ocean engineering 2023-10, Vol.286, p.115674, Article 115674
• Main Authors: Solanki, Dhaval T., Sharma, Dharmendra S.
• Format: Article
• Language: English
• Subjects: Bilinear mapping function; Complex potential function; Hypotrochoidal mapping function; Interaction effect; Polygonal shaped cylinders; Potential flow
• ISSN: 0029-8018; 1873-5258
• DOI: 10.1016/j.oceaneng.2023.115674

The analytical solution for uniform potential flow around two similar or dissimilar polygonal cylinders is obtained by using complex potential function for a doublet trapped in an annulus. The annulus of two circles is mapped conformally to the pair of polygonal cylinders by unique combination of bilinear and hypotrochoidal transformation and mathematical formulas to get velocity, pressure and hydrodynamic force distribution around two polygonal cylinders are presented. The effects of center distance between the cylinders, shape, orientation and corner radii of cylinders, and flow angle on the hydrodynamic interaction between the cylinders are also investigated and presented. The comparison of some of the numerical results obtained using present method is done with the results obtained from commercial CFD software package and results from literature. [Display omitted] •The hydrodynamic interaction between two polygonal cylinders in uniform potential flow is presented.•A novel mapping function is introduced using the combination of bilinear and hypotrochoidal transformation.•The effect of geometrical and flow parameters on hydrodynamic interaction is investigated.