Numerical investigation of dynamical behavior of tethered rigid spheres in supersonic flow

doi:10.1007/s10483-016-2090-6

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (6): 749-760.doi: https://doi.org/10.1007/s10483-016-2090-6

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Numerical investigation of dynamical behavior of tethered rigid spheres in supersonic flow

Tao LI¹, Jingxia SUI², Chuijie WU¹

1. State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, Liaoning Province, China;
2. School of Energy and Power Engineering, Dalian University of Technology, Dalian 116024, Liaoning Province, China

Received:2016-01-14 Revised:2016-01-16 Online:2016-06-01 Published:2016-06-01
Contact: Chuijie WU E-mail:cjwudut@dlut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11372068) and the National Key Basic Research and Development Program of China (973 Program) (No. 2014CB-744104)

Abstract

Abstract:

The dynamical behavior of two tethered rigid spheres in a supersonic flow is numerically investigated. The tethered lengths and radius ratios of the two spheres are different. The two spheres, which are centroid axially aligned initially, are held stationary first, then released, and subsequently let fly freely in a supersonic flow. The mean qualities of the system and the qualities of the bigger sphere are considered and compared with the situations without the tether. In the separation process, six types of motion caused by the spheres, tether, and fluid interaction are found. The results show that the mean x-velocity of the system changes in a different manner for different radius ratios, and the x-velocity of the bigger sphere is uniformly reduced but through different mechanisms.

Key words: dynamical behavior, tethered sphere, supersonic flow

2010 MSC Number:

74F10

Tao LI, Jingxia SUI, Chuijie WU. Numerical investigation of dynamical behavior of tethered rigid spheres in supersonic flow. Applied Mathematics and Mechanics (English Edition), 2016, 37(6): 749-760.

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Numerical investigation of dynamical behavior of tethered rigid spheres in supersonic flow

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