The Influence of Gravity on the Dynamics of Non-Isothermic Ultra-Thin Two-Layer Films

Nepomnyashchy, Alexander; Simanovskii, Ilya B.

doi:10.1007/s12217-009-9122-z

Cited by 6 publications

(5 citation statements)

References 23 publications

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“…Note that (i) we include gravity terms in the pressures, since it has been shown that these terms may be important in a certain range of parameters [28,34], and (ii) we do not include the electronic component in the disjoining pressures [60], since for a single layer as well as for a bilayer system the inclusion of the electronic component does not result in the noticable improvement in matching of the theoretical predictions to the experiment, such as, for instance, the prediction of the critical film thickness at which the transition from bicontinuous structures to holes takes place [13,61]. The surface tension gradients, ∂ x σ 1,2 in Eqs.…”

Section: Evolution Equations For the Bilayermentioning

confidence: 99%

“…This applied modeling paper is motivated by the recent experiments on dewetting of non-reactive, immiscible metallic bilayers [16], and the need to better understand the physical mechanisms leading to spatial ordering of particles and the morphological pathways towards the final particle morphologies. The experimental [17][18][19][20][21][22][23][24] and theoretical [25][26][27][28][29][30][31][32][33][34] studies of the instabilities and dynamics of bilayer thin films so far have been largely limited to aqueous and polymer systems under isothermal conditions. Non-isothermal dewetting even in such more conventional systems has not been fully investigated theoretically.…”

Section: Introductionmentioning

confidence: 99%

“…[25,26] the equation set that accounts for the Marangoni effect is derived, but only the analysis and some computations in the isothermal case are performed; and in Refs. [32][33][34] either a special set of Hamaker coefficients is considered, such that dewetting exhibits autophobic behavior, or in addition a longitudinal temperature gradient is considered. Also, to our knowledge, even in the isothermal case no combined experimental/theoretical study has been published and thus the theory has not been quantitatively matched to an experiment.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Controlling Nanoparticles Formation in Molten Metallic Bilayers by Pulsed-Laser Interference Heating

Khenner

Yadavali

Kalyanaraman

2012

Math. Model. Nat. Phenom.

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Abstract. The impacts of the two-beam interference heating on the number of core-shell and embedded nanoparticles and on nanostructure coarsening are studied numerically based on the non-linear dynamical model for dewetting of the pulsed-laser irradiated, thin (< 20 nm) metallic bilayers. The model incorporates thermocapillary forces and disjoining pressures, and assumes dewetting from the optically transparent substrate atop of the reflective support layer, which results in the complicated dependence of light reflectivity and absorption on the thicknesses of the layers. Stabilizing thermocapillary effect is due to the local thickness-dependent, steadystate temperature profile in the liquid, which is derived based on the mean substrate temperature estimated from the elaborate thermal model of transient heating and melting/freezing. Linear stability analysis of the model equations set for Ag/Co bilayer predicts the dewetting length scales in the qualitative agreement with experiment.

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Section: Evolution Equations For the Bilayermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Controlling Nanoparticles Formation in Molten Metallic Bilayers by Pulsed-Laser Interference Heating

Khenner

Yadavali

Kalyanaraman

2012

Math. Model. Nat. Phenom.

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“…It has been shown by Nepomnyashchy and Simanovskii (2009) in the framework of a linear stability theory that parameter g 2 is a major stabilizing factor, while the influence of the density stratification parameter g 1 − g 2 is much weaker. Therefore, we perform simulations with different values of g 2 when keeping g 1 = 0.02.…”

Section: Constant Gravitymentioning

confidence: 99%

Long-wave Marangoni Convection in Two-layer Films Under the Action of Gravity Modulation

Nepomnyashchy

Simanovskii

2010

Microgravity Sci. Technol.

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The influence of the gravity on the long-wave Marangoni patterns in two-layer films is considered. The numerical analysis is carried out in the lubrication approximation. Periodic boundary conditions have been applied on the boundaries of the computational region. The development of instabilities is investigated by means of nonlinear simulations. The cases of a constant gravity and a time-periodic gravity modulation are considered. In the case of a constant gravity, non-stationary three-dimensional and two-dimensional structures have been found. It is shown that the periodic modulations of the gravity force lead to the development of new three-dimensional spatially-periodic patterns. Outside the region of parameters, corresponding to three-dimensional structures, dynamical regime of two-dimensional traveling waves have been observed.

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“…They resulted from strong discontinuity relations for generalized fluid-fluid motions as the relations of mass, impulse and energy balance by transition through the interface. The influence of the gravity on the instabilities of non-isothermal two-layer films and the development of instabilities under the action of Marangoni stresses and van der Waals forces were investigated in (Nepomnyashchy and Simanovskii 2009).…”

Section: Introductionmentioning

confidence: 99%

Interfacial Balance Equations for Diffusion Evaporation and Exact Solution for Weightless Drop

Kuznetsov

Bartashevich

Kabov

2011

Microgravity Sci. Technol.

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Introducing of additional terms into the balance equations to specify the conditions at the interface allows to study physical phenomena in the diffusion evaporation (condensation) of the liquid into the neutral gas. We have taken into account the vapour dynamic effects on evaporating liquid, as well as the waste of energy on deformation of the boundary, changing of the interfacial temperature (the interface has an internal energy and therefore heat capacity), to overcome the surface tension etc. This paper presents the balance conditions at the interface with the diffusion evaporation of the liquid into the neutral gas, for the case when the vapour is considered as an impurity in the gas phase. The analysis of the dimensionless criteria is carried out. The areas of parameters for which the V. V. Kuznetsov · M. V. Bartashevich (B) Lavrentyev Institute of Hydrodynamics, Russian Academy of Sciences, prosp. Lavrentyev 15, Novosibirsk, effect of some physical factors take a place have been defined. The exact solution of the diffusion evaporation for a spherical drop at zero gravity conditions has been constructed. The explicit expression for the interfacial temperature and evaporation rate were derived. Solution for evaporation rate coincides with the solution obtained by Maxwell (1890).

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The Influence of Gravity on the Dynamics of Non-Isothermic Ultra-Thin Two-Layer Films

Cited by 6 publications

References 23 publications

Controlling Nanoparticles Formation in Molten Metallic Bilayers by Pulsed-Laser Interference Heating

Controlling Nanoparticles Formation in Molten Metallic Bilayers by Pulsed-Laser Interference Heating

Long-wave Marangoni Convection in Two-layer Films Under the Action of Gravity Modulation

Interfacial Balance Equations for Diffusion Evaporation and Exact Solution for Weightless Drop

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