Stability of liquid ridges on chemical micro- and nanostripes

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 6, 2008, Pages

  Mechkov, S ^a,b   Rauscher, M ^c   Dietrich, S ^c  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b ECOLE NORMALE SUPÉRIEURE   (France)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL ANALYSIS; CHEMICAL STABILITY; PERTURBATION TECHNIQUES;

ANALYTICAL EXPRESSIONS; CONTACT LINES; DRIVING FORCES; MOVING CONTACT LINES; NONVOLATILE LIQUIDS; OVERALL STABILITIES; PEARLING INSTABILITY; PERTURBATION THEORY;

STABILITY CRITERIA;

EID: 46349109909     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.061605     Document Type: Article

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24. In practice, the velocity profile is affected by the heterogeneous chemical properties of the substrate, in particular via the Navier slip length. This would lead to an explicit dependence of the mobility factor Q on the transverse coordinate x. However, in our study we assume, unless mentioned otherwise, that the no-slip condition is fulfilled on the whole substrate, leading to the simple expression Q= H 3 /3, which depends on x only via H. Some analytical results still hold for general and explicitly x -dependent expressions for Q (x; H (x)).
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