涡丝有质动力强迫对海豚蒙皮减阻的影响
Drag Reduction over Dolphin Skin via the Pondermotive Forcing of Vortex Filaments
摘要:
截头龟的皮肤是波纹状的,有小的、准周期性的脊状突起围绕躯干。这些脊延伸到湍流边界层中并影响拟序结构的演化。涡丝的形成和动力学描述了表面相干结构的发展和演化。这些长丝在一个平坦的,非脊状表面的动力学分析确定,以及通过数值模拟,并发现同意在湍流边界层的相干结构的观察。涡丝的线性化动力学的计算,成功的长丝在一个平面上的动力学,扩展和适用于一个周期性脊表面上传播的涡丝。表面脊诱导涡丝的快速参数强迫,并显著改变涡丝动力学。考虑涡丝诱导流对能量传输的贡献表明,由脊诱导的涡丝的行为可以直接减少表面阻力高达8%。的大小,形状和分布的皮脊的Tursiops截断被发现是最佳配置,以影响长丝动力学和减少表面阻力与观察一致的游泳速度。
英文摘要:
The skin of Tursiops Truncatus is corrugated with small, quasi-periodic ridges running circumferentially about the torso. These ridges extend into the turbulent boundary layer and affect the evolution of coherent structures. The development and evolution of coherent structures over a surface is described by the formation and dynamics of vortex filaments. The dynamics of these filaments over a flat, non-ridged surface is determined analytically, as well as through numerical simulation, and found to agree with the observations of coherent structures in the turbulent boundary layer. The calculation of the linearized dynamics of the vortex filament, successful for the dynamics of a filament over a flat surface, is extended and applied to a vortex filament propagating over a periodically ridged surface. The surface ridges induce a rapid parametric forcing of the vortex filament, and alter the filament dynamics significantly. A consideration of the contribution of vortex filament induced flow to energy transport indicates that the behavior of the filament induced by the ridges can directly reduce surface drag by up to 8%. The size, shape, and distribution of cutaneous ridges for Tursiops Truncatus is found to be optimally configured to affect the filament dynamics and reduce surface drag for swimming velocities consistent with observation.
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