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Transient Dynamics And Structure Of Optimal Excitations In Thermocapillary Spreading: Precursor Film Model, Jm Davis, De Kataoka, Sm Troian
Transient Dynamics And Structure Of Optimal Excitations In Thermocapillary Spreading: Precursor Film Model, Jm Davis, De Kataoka, Sm Troian
Jeffrey M. Davis
Linearized modal stability theory has shown that the thermocapillary spreading of a liquid film on a homogeneous, completely wetting surface can produce a rivulet instability at the advancing front due to formation of a capillary ridge. Mechanisms that drain fluid from the ridge can stabilize the flow against rivulet formation. Numerical predictions from this analysis for the film speed, shape, and most unstable wavelength agree remarkably well with experimental measurements even though the linearized disturbance operator is non-normal, which allows transient growth of perturbations. Our previous studies using a more generalized nonmodal stability analysis for contact lines models describing partially …
Theoretical Analysis Of The Effect Of Insoluble Surfactant On The Dip Coating Of Chemically Micropatterned Surfaces, N Tiwari, Jm Davis
Theoretical Analysis Of The Effect Of Insoluble Surfactant On The Dip Coating Of Chemically Micropatterned Surfaces, N Tiwari, Jm Davis
Jeffrey M. Davis
Microfluidic flow on chemically heterogeneous surfaces is a useful technique with applications ranging from selective material deposition to the self-assembly of nanostructures. The recent theoretical analysis by Davis [Phys. Fluids 17, 038101 (2005)] of the dip coating of a pure fluid onto vertical, wetting stripes surrounded by nonwetting regions quantified the experimentally observed deviations from the classical Landau-Levich result due to lateral confinement of the fluid by chemical surface patterning. In this present work, the analysis of dip coating of these heterogeneous surfaces is extended to a liquid containing an insoluble surfactant. Using matched asymptotic expansions based on lubrication theory …