Asymptotic Study of Flows Induced by Oscillations of Cylindrical Bodies

IF 1 4区 工程技术 Q4 MECHANICS
A. N. Nuriev, O. N. Zaitseva, A. M. Kamalutdinov, E. E. Bogdanovich, A. R. Baimuratova
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引用次数: 0

Abstract

Hydrodynamic flows induced by translational oscillations of cylindrical bodies of various cross-sectional shapes are studied. The motion of fluid around oscillating bodies is described using the system of Navier–Stokes equations written in a generalized curvilinear coordinate system. Transition to a given body shape is implemented using a conformal mapping. The problem is solved using the method of successive asymptotic expansions under the assumption that the oscillation amplitudes are small. In each asymptotic approximation, the subproblems are solved numerically using the finite-difference method. Based on the results of the work, estimates of the hydrodynamic effect are obtained, the applicability of the high-frequency asymptotic approximation is estimated, and secondary stationary flows near cylinders are studied, in particular, the occurrence of directed stationary flows near an oscillating asymmetric body is considered with reference to the Joukowski airfoil.

Abstract Image

圆柱形物体振荡引起的流动的渐近研究
摘要 研究了各种截面形状的圆柱体平移摆动引起的流体力学流动。流体围绕摆动体的运动是用广义曲线坐标系中的纳维-斯托克斯方程组描述的。通过保角映射实现向给定体形的过渡。在振荡振幅较小的假设下,采用连续渐近展开法来解决这个问题。在每次渐近中,都使用有限差分法对子问题进行数值求解。根据工作结果,获得了流体动力效应的估计值,估计了高频渐近近似的适用性,并研究了圆柱体附近的二次静止流,特别是参照 Joukowski 机翼,考虑了振荡不对称体附近定向静止流的出现。
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来源期刊
Fluid Dynamics
Fluid Dynamics MECHANICS-PHYSICS, FLUIDS & PLASMAS
CiteScore
1.30
自引率
22.20%
发文量
61
审稿时长
6-12 weeks
期刊介绍: Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.
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