Stability of liquid films on a porous vertical cylinder

doi:10.1103/PhysRevE.84.046307

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	Stability of liquid films on a porous vertical cylinder
	Ding ZJ(丁子敬); Liu QS(刘秋生); Ding, ZJ (reprint author), Chinese Acad Sci, Key Lab Micrograv, Natl Micrograv Lab, Inst Mech, Beijing 100190, Peoples R China
发表期刊	Physical Review E
	2011
卷号	84 期号:4 页码:46307
ISSN	1539-3755
摘要	The stability of liquid films flowing down a vertical porous cylinder is investigated in this paper. Fluids in the porous medium are assumed to be governed by Darcy's law. The Beaver-Joseph conditions on the liquid-porous surface are applied, and the influence of the porous medium reduces as a slip condition on the cylinder, which leads to the one-sided model. A Benney-type equation governing the interfacial shape is derived to study the nonlinear behavior of liquid films. Linear stability analysis shows that the film flow system on a porous vertical cylinder is more unstable than that on a solid impermeable vertical cylinder and that increasing the permeability of the porous medium enhances the destabilizing effect. Nonlinear studies examine our linear stability analysis. We find that, for Reynolds number Re = 0, as the permeability parameter increases, the rupture time of film decreases; for Re > 0, Rayleigh-Plateau instability is suppressed, and disturbances evolve to saturated traveling waves. By increasing the permeability parameter, the amplitude of traveling wave increases, and the wave speed increases too. Aside from that, the wave speed increases with increasing Re.
关键词	Inclined Planes Annular Film Viscous Beads Fluid-flow Fiber Instability Dynamics Breakup
学科领域	Physics
DOI	10.1103/PhysRevE.84.046307
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000296518100003
关键词[WOS]	INCLINED PLANES ; ANNULAR FILM ; VISCOUS BEADS ; FLUID-FLOW ; FIBER ; INSTABILITY ; DYNAMICS ; BREAKUP
WOS研究方向	Physics
WOS类目	Physics, Fluids & Plasmas ; Physics, Mathematical
项目资助者	This work was supported by the National Nature Science Foundation of China (Grant Nos. 50890182 and 11072249), the Knowledge Innovation Program of Chinese Academy of Sciences (Grant No. CXJJ-10-M55), and the Knowledge Innovation Project of Institute of Mechanics, CAS.
课题组名称	NML流动稳定性与复杂流动
论文分区	一类
引用统计	被引频次：22[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/45068
专题	微重力重点实验室
通讯作者	Ding, ZJ (reprint author), Chinese Acad Sci, Key Lab Micrograv, Natl Micrograv Lab, Inst Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ding ZJ,Liu QS,Ding, ZJ . Stability of liquid films on a porous vertical cylinder[J]. Physical Review E,2011,84,4,:46307.
APA	丁子敬,刘秋生,&Ding, ZJ .(2011).Stability of liquid films on a porous vertical cylinder.Physical Review E,84(4),46307.
MLA	丁子敬,et al."Stability of liquid films on a porous vertical cylinder".Physical Review E 84.4(2011):46307.

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