Travelling wave states in pipe flow
JOURNAL OF FLUID MECHANICS(2016)
摘要
In this paper, we have found two new nonlinear travelling wave solutions in pipe flows. We investigate possible asymptotic structures at large Reynolds number R when wavenumber is independent of R and identify numerically calculated solutions as finite R realizations of a nonlinear viscous core (NVC) state that collapses towards the pipe centre with increasing R at a rate R-1/4. We also identify previous numerically calculated states as finite R realizations of a vortex wave interacting (VWI) state with an asymptotic structure similar to the ones in channel flows studied earlier by Hall & Sherwin (J. Fluid Mech., vol. 661, 2010, pp. 178-205). In addition, asymptotics suggests the possibility of a VWI state that collapses towards the pipe centre like R-1/6, though this remains to be confirmed numerically.
更多查看译文
关键词
instability,nonlinear instability,transition to turbulence
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要