Instability and dynamics of thin slipping films

Sharma, Ashutosh; Kargupta, Kajari
October 2003
Applied Physics Letters;10/27/2003, Vol. 83 Issue 17, p3549
Academic Journal
The linear stability analysis of the full Navier–Stokes equations shows that the surface instability and dynamics of thin liquid films are profoundly altered by the presence of slippage on the substrate. For example, the exponents for the length scale (λ[sub m]∝h[sub 0][sup n]; h[sub 0] is film thickness) and time scale of instability (t[sub r]∝h[sub 0][sup m]) change nonmonotonically with slippage [for van der Waals force induced instability, n∈(1.25,2), m∈(3,6)]. Slippage always encourages faster rupture and can greatly reduce the number density of holes for moderate to strong slip. Thus, any interpretation of thin film experiments, including determination of intermolecular forces from the length and time scales, needs to account for the possibility of slippage. © 2003 American Institute of Physics.


Related Articles

  • A Numerical Study of a Droplet Impinging on a Liquid Surface. Asadi, S.; Panahi, H. // World Academy of Science, Engineering & Technology;Jul2011, Issue 55, p720 

    The Navier-Stokes equations for unsteady, incompressible, viscous fluids in the axisymmetric coordinate system are solved using a control volume method. The volume-of-fluid (VOF) technique is used to track the free-surface of the liquid. Model predictions are in good agreement with experimental...

  • Flow of evaporating, gravity-driven thin liquid films over topography. Gaskell, P. H.; Jimack, P. K.; Sellier, M.; Thompson, H. M. // Physics of Fluids;Jan2006, Vol. 18 Issue 1, p013601 

    The effect of topography on the free surface and solvent concentration profiles of an evaporating thin film of liquid flowing down an inclined plane is considered. The liquid is assumed to be composed of a resin dissolved in a volatile solvent with the associated solvent concentration equation...

  • Thin-Film Flow Influenced by Thermal Noise. Grün, Günther; Mecke, Klaus; Rauscher, Markus // Journal of Statistical Physics;Mar2006, Vol. 122 Issue 6, p1261 

    We study the influence of thermal fluctuations on the dewetting dynamics of thin liquid films. Starting from the incompressible Navier-Stokes equations with thermal noise, we derive a fourth-order degenerate parabolic stochastic partial differential equation which includes a conservative,...

  • Fluid transport in thin liquid films using traveling thermal waves. Mao, Wenbin; Oron, Alexander; Alexeev, Alexander // Physics of Fluids;Jul2013, Vol. 25 Issue 7, p072101 

    Using long wave theory and direct numerical solutions of the Navier-Stokes equations, we investigate thermocapillary flows arising in a thin liquid film covering a heated solid substrate with non-uniform temperature in the form of traveling thermal waves. Our results indicate that...

  • A COMPUTATIONAL STUDY ON DROPLET IMPINGEMENT ONTO A THIN LIQUID FILM. Asadi, Saeed; Passandideh-Fard, Mohammad // Arabian Journal for Science & Engineering (Springer Science & Bu;Oct2009, Vol. 34 Issue 2B, p505 

    The impingement of a droplet onto a thin liquid film is studied by numerical simulation. The Navier-Stokes equations for unsteady, incompressible, viscous fluids in the axisymmetric coordinate system are solved using a control volume method. The volume-of-fluid (VOF) technique is used to track...

  • Insights on the impact of a plane drop on a thin liquid film. Coppola, Gennaro; Rocco, Giuseppe; de Luca, Luigi // Physics of Fluids;Feb2011, Vol. 23 Issue 2, p022105 

    Numerical simulations of early and intermediate instants of a plane two-dimensional drop impact on a preexisting thin film of the same liquid are performed. The evolution of the phenomenon is analyzed by solving the free-surface Navier-Stokes equations by means of a volume of fluid (VOF) method....

  • Ultrathin liquid films under alternating intermolecular potential fields and capillary force. Suh, Kahp Y.; Lee, Hong H. // Journal of Chemical Physics;10/1/2002, Vol. 117 Issue 13, p6266 

    A unique experimental system is devised that reveals the interplay among capillary force and alternating intermolecular forces. As a consequence of the interplay, untrathin (<10 nm) liquid films, which invariably experience dewetting, can be made stable, leading to a smooth and dropless...

  • From Boltzmann's Equation to the Incompressible Navier-Stokes-Fourier System with Long-Range Interactions. Arsénio, Diogo // Archive for Rational Mechanics & Analysis;Nov2012, Vol. 206 Issue 2, p367 

    We establish a rigorous demonstration of the hydrodynamic convergence of the Boltzmann equation towards a Navier-Stokes-Fourier system under the presence of long-range interactions. This convergence is obtained by letting the Knudsen number tend to zero and has been known to hold, at least...

  • The steady propagation of a surfactant-laden liquid plug in a two-dimensional channel. Fujioka, Hideki; Grotberg, James B. // Physics of Fluids;Aug2005, Vol. 17 Issue 8, p082102 

    In this study, we investigate the steady propagation of a liquid plug in a two-dimensional channel lined by a uniform, thin liquid film. The liquid contains soluble surfactant that can exist both in the bulk fluid and on the air-liquid interface. The Navier-Stokes equations with free-surface...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics