Shear flow past slender elastic rods attached to a plane

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• 作者：C. Pozrikidis
• 关键词：Slender-body theory ; Beam bending ; Flow-induced deformation ; Hydroelasticity
• 刊名：International Journal of Solids and Structures
• 出版年：2011
• 出版时间：1 January 2011
• 年：2011
• 卷：48
• 期：1
• 页码：137-143
• 全文大小：374 K

文摘

Shear flow past an elastic rod or a doubly periodic array of elastic rods attached to a plane is investigated with reference to flow over a ciliated surface or a carbon nanomat. In the absence of flow, the rods are straight cylinders with circular cross-sectional shape. The mathematical framework combines slender-body theory for computing the hydrodynamic load with classical beam theory for computing the rod deflection. Small deflections are computed using a finite-element method and large deflections are computed using an iterative procedure where a rod shape is assumed, the hydrodynamic load is found, and a new shape is obtained by solving a boundary-value problem involving ordinary differential equations at equilibrium. Deflected rod profiles are presented and the macroscopic slip velocity is computed in the case of flow past a doubly periodic square or triangular array of rods over a broad range of surface coverage.