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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
Source PublicationPhysical Review E
2011
Volume84Issue:4Pages:46307
ISSN1539-3755
AbstractThe 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.
KeywordInclined Planes Annular Film Viscous Beads Fluid-flow Fiber Instability Dynamics Breakup
Subject AreaPhysics
DOI10.1103/PhysRevE.84.046307
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000296518100003
WOS KeywordINCLINED PLANES ; ANNULAR FILM ; VISCOUS BEADS ; FLUID-FLOW ; FIBER ; INSTABILITY ; DYNAMICS ; BREAKUP
WOS Research AreaPhysics
WOS SubjectPhysics, Fluids & Plasmas ; Physics, Mathematical
Funding OrganizationThis 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.
DepartmentNML流动稳定性与复杂流动
Classification一类
Citation statistics
Cited Times:10[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/45068
Collection国家微重力实验室
Corresponding AuthorDing, ZJ (reprint author), Chinese Acad Sci, Key Lab Micrograv, Natl Micrograv Lab, Inst Mech, Beijing 100190, Peoples R China
Recommended Citation
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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