论文标题
优化型号二球游泳者的平均游泳速度
Optimizing the Mean Swimming Velocity of a Model Two-sphere Swimmer
论文作者
论文摘要
在粘性流体中振荡的两球系统的游泳是根据简化的运动方程式研究的，该方程考虑了摩擦和惯性效应。在模型中，摩擦从Oseen近似到迁移率矩阵，惯性效应从偶极近似到添加的质量基质。在第一个谐波近似中对产生的平均游泳速度进行分析评估。对于参数的特定选择，这与数值计算之后的确切结果进行了比较，包括较高的谐波。将Oseen-Dipole模型与更简单的OSEEN*模型进行了比较，其中仅通过单个球的有效质量和偶极相互作用忽略了添加的质量效应。平均游泳速度的表达可以降低为无尺度缩放形式。对于给定的粘度和流体的质量密度，可以选择中风频率和半径之比，以便优化游泳速度。
The swimming of a two-sphere system oscillating in a viscous fluidis studied on the basis of simplified equations of motion which take account of both friction and inertial effects. In the model the friction follows from an Oseen approximation to the mobility matrix, and the inertial effects follow from a dipole approximation to the added mass matrix. The resulting mean swimming velocity is evaluated analytically in a first harmonics approximation. For specific choices of the parameters this is compared with the exact result following from a numerical calculation including higher harmonics. The Oseen-Dipole model is compared with the simpler Oseen* model, in which the added mass effects are approximated by just the effective mass of the single spheres and dipole interactions are neglected. The expression for the mean swimming velocity can be reduced to a dimensionless scaling form. For given viscosity and mass density of the fluid the frequency of the stroke and the ratio of radii can be chosen such that the swimming velocity is optimized.
