Nonlinear evolution of a column swirling jet
作者： Kadry Zakaria , Magdy A. Sirwah , Mahmoud Adham
DOI: 10.1007/S00033-012-0266-0
关键词:
摘要: The aim of this work is to study the nonlinear temporal evolution an alternating swirling streaming jet. According laboratory observations, viscous dissipation simulated by means a phenomenological damping coefficient included in equation motion (Jiang et al. J Fluid Mech 369:273–299, 1998; Wright 402:1–32, 2000) and added Bernoulli or equation. multiple scales are used for finding out equations. fixed points solutions have been determined. Really, modulation concept exploited order analyze stability criteria possible cases resonance. While non-resonant case, nontrivial obtained numerically. Different numerical applications considered. studied showed that Weber number, number streamwise circulation play significant role determining dynamics developing interfacial patterns.
springer.com
sci-hub.se 参考文章(16)
LEI JIANG, MARC PERLIN, WILLIAM W. SCHULTZ, Period tripling and energy dissipation of breaking standing waves Journal of Fluid Mechanics. ,vol. 369, pp. 273- 299 ,(1998) , 10.1017/S0022112098001785
Magdy A. Sirwah, Non-linear temporal dynamics of two-mode interactions of magnetized flow International Journal of Non-linear Mechanics. ,vol. 43, pp. 416- 436 ,(2008) , 10.1016/J.IJNONLINMEC.2008.01.004
J.E. Martin, E. Meiburg, The growth and nonlinear evolution of helical perturbations in a swirling jet model European Journal of Mechanics - B/Fluids. ,vol. 17, pp. 639- 651 ,(1998) , 10.1016/S0997-7546(98)80017-4
Y. Liao, S. M. Jeng, M. A. Jog, M. A. Benjamin, Instability of an Annular Liquid Sheet Surrounded by Swirling Airstreams AIAA Journal. ,vol. 38, pp. 453- 460 ,(2000) , 10.2514/2.982
Kadry Zakaria, Wilton ripples between two uniform streaming magnetic fluids International Journal of Non-linear Mechanics. ,vol. 39, pp. 1051- 1066 ,(2004) , 10.1016/S0020-7462(03)00096-9
J. Panda, D. K. McLaughlin, Experiments on the instabilities of a swirling jet Physics of Fluids. ,vol. 6, pp. 263- 276 ,(1994) , 10.1063/1.868074
M. Vanierschot, E. Van den Bulck, Hysteresis in flow patterns in annular swirling jets Experimental Thermal and Fluid Science. ,vol. 31, pp. 513- 524 ,(2007) , 10.1016/J.EXPTHERMFLUSCI.2006.06.001
J. E. Martin, E. Meiburg, On the stability of the swirling jet shear layer Physics of Fluids. ,vol. 6, pp. 424- 426 ,(1994) , 10.1063/1.868041
Hongbok Park, Stephen D. Heister, Nonlinear simulation of free surfaces and atomization in pressure swirl atomizers Physics of Fluids. ,vol. 18, pp. 052103- ,(2006) , 10.1063/1.2197876
K ZAKARIA, Nonlinear dynamics of magnetic fluids with a relative motion in the presence of an oblique magnetic field Physica A-statistical Mechanics and Its Applications. ,vol. 327, pp. 221- 248 ,(2003) , 10.1016/S0378-4371(03)00393-5