• shear flow past slender elastic rods attached to a plane

    نویسندگان :
    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/01/01
    • تاریخ انتشار در تی پی بین: 1392/01/01
    • تعداد بازدید: 757
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     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.

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