Interaction between Unsteady Supersonic Jet and Vortex Rings

Authors: Kazumasa Kitazono, Hiroshi Fukuoka, Nao Kuniyoshi, Minoru Yaga, Eri Ueno, Naoaki Fukuda, Toshio Takiya

Abstract:

The unsteady supersonic jet formed by a shock tube with a small high-pressure chamber was used as a simple alternative model for pulsed laser ablation. Understanding the vortex ring formed by the shock wave is crucial in clarifying the behavior of unsteady supersonic jet discharged from an elliptical cell. Therefore, this study investigated the behavior of vortex rings and a jet. The experiment and numerical calculation were conducted using the schlieren method and by solving the axisymmetric two-dimensional compressible Navier–Stokes equations, respectively. In both, the calculation and the experiment, laser ablation is conducted for a certain duration, followed by discharge through the exit. Moreover, a parametric study was performed to demonstrate the effect of pressure ratio on the interaction among vortex rings and the supersonic jet. The interaction between the supersonic jet and the vortex rings increased the velocity of the supersonic jet up to the magnitude of the velocity at the center of the vortex rings. The interaction between the vortex rings increased the velocity at the center of the vortex ring.

Keywords: Computational fluid dynamics, shock wave, unsteady jet, vortex ring.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1126926

References:

[1] I. Umezu, S. Yamamoto, and A. Sugimuramm, “Emission induced by collision of two plumes during pulsed laser ablation,” Appl. Phys. A 101.1, 2010, pp. 133–136.
[2] T. Seto T, M. Hirasawa, and N. Aya “Fabrication of silicon nanostructured films by deposition of size-selected nanoparticles generated by pulsed laser ablation,” Thin Solid Films 437.1, 2003, pp. 230–234.
[3] Y. Naono, S. Kawabata, S.H. Huh, and A. Nakajima, “Classification and characterization of gold and nickel nanoparticles with a differential mobility analyzer,” Sci. Tech. Adv. Mater. 7.2, 2006, pp. 209–215.
[4] Y. Iwata, M. Kishida, M. Muto, S. Yu, and T. Sawada, “Narrow size-distributed silicon cluster beam generated using a spatiotemporal confined cluster source,” Chem. Phys. Lett. 358.1, 2002, pp.36–42.
[5] M. Sakamoto, M. Matsui, H. Fukuoka, M. Yaga, and T. Takiya, “Study of unsteady supersonic jet using shock tube with small high-pressure chamber with elliptical cell,” Mater. Sci. Forum, 767, 2013, pp.80–85.
[6] R. Krasny, “Desingularization of periodic vortex sheet roll-up,” J. Comput. Phys. 65.2, 1986, pp. 292–313.