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  • 1
    Electronic Resource
    Electronic Resource
    Capillary instabilities in solid thin films: Lines (1996)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 79 (1996), S. 7604-7611 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The linear morphological instability of a line of film on a substrate has been examined for contact angles between 0 and π. The base state of the line is an infinitely long cylinder with cross-sectional shape a segment of a circle. We assume that mass flows by diffusion along the film surface and that local equilibrium holds. We find that for non-zero contact angles there is a finite range of perturbation wavenumbers in the axial direction which correspond to instability and will potentially lead to agglomeration of the line of film. All unstable perturbations are of the varicose (sausage) type. The presence of the substrate is stabilizing; the range of unstable wavelengths is always less than that of a freely-suspended circular cylinder with the same volume and decreases to zero width at zero contact angle. The maximum growth rate of the instability varies strongly with the contact angle and approaches zero as the contact angle approaches zero. Our results agree qualitatively with the experimentally observed wavelength and growth rates of the instability. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.362343
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The effect of an electrostatic field on film flow down an inclined plane (1992)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 2117-2130 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A study of the interaction of an electrostatic field with a thin liquid film flowing under gravity down an inclined plane is presented. First, the effect of the electric field on the stability of the film flow is examined. Next, several limits of the equations of motion are investigated analytically, and then compared with an explicit numerical calculation of the equations of motion. Also, applications of these calculations to a proposed electrostatic liquid film space radiator are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858508
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  • 3
    Electronic Resource
    Electronic Resource
    Bounds for mobility of foams flowing through porous media (1991)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 3 (1991), S. 2541-2545 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Variational bounds have been used to estimate the fluid permeability of one-phase flow in porous media. Here an extension of this idea to foam flow in porous media is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858195
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Self-similar dynamics of a viscous wedge of fluid (1999)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 11 (1999), S. 3227-3231 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The 2D (two dimensional) motion of two symmetric wedges of viscous fluid is determined. The evolution of the fluid is governed by the Stokes equations plus the interfacial boundary conditions including surface tension. A similarity solution is determined and these equations are solved numerically by using a boundary integral method. Solutions for different wedge angles are found. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.870184
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  • 5
    Electronic Resource
    Electronic Resource
    Dissipation and contact-line motion (1991)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 3 (1991), S. 487-489 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The forced motion of a droplet trapped in a cone including contact-line motion is determined. In addition, the viscous and contact-line dissipation associated with the motion is determined. It is found that in certain limits, the contact-line dissipation can dominate the viscous dissipation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858216
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  • 6
    Electronic Resource
    Electronic Resource
    Wave propagation in a bubbly liquid with finite-amplitude asymmetric bubble oscillations (1986)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 29 (1986), S. 603-618 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Effective equations for nonlinear wave propagation in a bubbly liquid are derived by the method of homogenization for the case where the volume fraction of the gas is finite. The analysis is valid when the ratio of the mean interbubble distance to wavelength is small. The effective equations are coupled with a canonical (cell) problem on the microscopic scale. The dominant mode of oscillation of a bubble is volume preserving and asymmetric with finite amplitude. The cell problem and the averaging in the effective equations can be simplified by the method of matched asymptotics for the case of small volume fraction. The cell problem can be further simplified by using the small gas-to-liquid density ratio. Approximate solutions are then constructed to the cell problem. These are coupled to the effective equations on the macroscopic scale to form a closed system. The solutions of this system are analyzed in the linear and weakly nonlinear regime.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865452
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  • 7
    Electronic Resource
    Electronic Resource
    Viscous effects on wave propagation in a bubbly liquid (1987)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 30 (1987), S. 1683-1689 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The effects of viscosity on wave propagation in a bubbly liquid with a finite gas volume fraction are studied using the effective equations of Miksis and Ting [Phys. Fluids 29, 603 (1986)]. Both the linear and nonlinear versions of their equations are considered. For linear waves an exact solution of the microscopic problem is found. At finite Reynolds number the attenuation caused by viscosity is found. The Crespo wave speed and the Wood wave speed are shown to be the effective sound speed for the two limiting cases of infinite Reynolds number and zero Reynolds number, respectively. In the nonlinear case viscous effects are accounted for by using Levich's method. This new nonlinear system of effective equations including the viscous effects is analyzed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.866233
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  • 8
    Electronic Resource
    Electronic Resource
    Pressure driven disturbances on a thin viscous film (1998)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 10 (1998), S. 1249-1255 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Here we investigate the effect of a steady pressure disturbance moving at a constant velocity along the interface of a thin viscous film flowing down an inclined plane. Both steady and unsteady solutions are determined for the interface. We find that it is possible for the steady solutions to have surface waves, either preceding the disturbance or behind it, depending on the values of the Bond and capillary numbers. In addition, for fixed Bond number, disturbance amplitude, and constant film heights both far upstream and downstream, there exists a finite range of capillary numbers for which no steady solutions exist. Within this range of capillary numbers, the transient solution develops a shock like profile which adjusts the heights upstream and downstream of the disturbance and grows in width. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869653
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