Applied Mathematics and Mechanics >
Numerical investigation of dynamical behavior of tethered rigid spheres in supersonic flow
Received date: 2016-01-14
Revised date: 2016-01-16
Online published: 2016-06-01
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)
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
Tao LI, Jingxia SUI, Chuijie WU . Numerical investigation of dynamical behavior of tethered rigid spheres in supersonic flow[J]. Applied Mathematics and Mechanics, 2016 , 37(6) : 749 -760 . DOI: 10.1007/s10483-016-2090-6
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