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  • 1
    Electronic Resource
    Electronic Resource
    The Stability of Time-Periodic Flows (1976)
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Fluid Mechanics 8 (1976), S. 57-74 
    Details
    ISSN: 0066-4189
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1146/annurev.fl.08.010176.000421
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  • 2
    Electronic Resource
    Electronic Resource
    Thermocapillary Instabilities (1987)
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Fluid Mechanics 19 (1987), S. 403-435 
    Details
    ISSN: 0066-4189
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1146/annurev.fl.19.010187.002155
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  • 3
    Electronic Resource
    Electronic Resource
    Morphological instability in epitaxially strained dislocation-free solid films: Linear stability theory (1993)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 73 (1993), S. 4955-4970 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The morphological instability of a growing epitaxially strained dislocation-free solid film is analyzed. An evolution equation for the film surface is derived in the dilute limit of vacancies based on surface diffusion driven by a stress-dependent chemical potential. From the time-dependent linear stability problem the conditions for which a growing film is unstable are determined. It is found that the instability is driven by the lattice mismatch between the film and the substrate; however, low temperatures as well as elastically stiff substrates are stabilizing influences. The results also reveal that the critical film thickness for instability depends on the growth rate of the film itself. Detailed comparison with experimental observations indicates that the instability described exhibits many of the observed features of the onset of the "island instability.''
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.353815
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  • 4
    Electronic Resource
    Electronic Resource
    Mixed-Gas Adsorption and Vacuum Desorption of Carbon Dioxide on Molecular Sieve. Thermodynamic and Rate Behavior (1968)
    s.l. : American Chemical Society
    Industrial and engineering chemistry 7 (1968), S. 269-275 
    Details
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1021/i260026a020
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  • 5
    Electronic Resource
    Electronic Resource
    On falling-film instabilities and wave breaking (1991)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 3 (1991), S. 231-232 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Long-wave instabilities of thin viscous films flowing down inclined planes are studied. Numerical solutions of the full long-wave evolution equation show that wave profiles grow superexponentially and evolve toward breaking when the surface tension takes on realistically small values. This contrasts with the solutions of the Kuramoto–Sivashinsky equation, which do not tend toward breaking. The use of the full equation thus dispenses with the need to introduce the formally small curvature terms into the Kuramoto–Sivashinsky equation, as suggessted by Rosenau and Oron [Phys. Fluids A 1, 1763 (1989)].
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.857858
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  • 6
    Electronic Resource
    Electronic Resource
    Shear stabilization of a solidifying front: Weakly nonlinear analysis in a long-wave limit (1996)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 8 (1996), S. 2319-2336 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The manufacturing of single crystals of multi-component materials with uniform material properties is frequently hampered by the presence of morphological instabilities during the solidification. In this paper we extend into the nonlinear regime our previous work on the influence of shear flows on the linear stability of the solid/liquid interface during the directional solidification of binary alloys. The flows are generated by unidirectional or nonplanar harmonic oscillations of the crystal parallel to the mean interface position, and oscillations with physically realizable amplitudes and frequencies are found to be useful for stabilization purposes. A strongly nonlinear equation which governs the evolution of the interface in the limit of high surface energy, a weak flow and thermodynamic equilibrium is derived, and a weakly nonlinear analysis of this equation is performed. For the unidirectional case, it is found that oscillations with sufficiently large amplitude will change the initial bifurcation from super- to subcritical. For the nonplanar case, it is found that subcritical instability of roll, square and hexagonal cells is favored as the amplitude of the flow is increased. Thus, some of the stabilization due to the flow may be lost at finite amplitude, but substantial stabilization can be retained. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869019
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  • 7
    Electronic Resource
    Electronic Resource
    Spreading and imbibition of viscous liquid on a porous base. II (2000)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 12 (2000), S. 1646-1655 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The competition between viscous spreading of a liquid on a substrate and its absorption by a dry porous substrate is studied in two dimensions. The effect of capillary suction into the pores vies with contact-line slip on the substrate to determine the lifetime of the drop. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.870416
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  • 8
    Electronic Resource
    Electronic Resource
    Instabilities of a liquid film flowing down a slightly inclined plane (1987)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 30 (1987), S. 983-989 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Falling films on inclined planes display surface and shear instability modes, the latter being important at small angles β of inclination of the plane. These modes are analyzed with particular attention paid to the effects of surface tension. The results show that the critical Reynolds number of the shear mode is nonmonotonic in either the angle β or the surface-tension parameter ζ but displays a local minimum at nonzero values of β and ζ. For large Reynolds number, an analysis shows that the shear mode is inviscidly stable, but that the surface mode is unstable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.866285
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  • 9
    Electronic Resource
    Electronic Resource
    Linear stability theory of two-layer fluid flow in an inclined channel (1994)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 6 (1994), S. 3906-3922 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The linear stability of the two-layer flow of immiscible, incompressible fluids in an inclined channel is considered. In the long-wave limit, mechanisms for linear instability, and the consequences of competition between mechanisms, are identified. For arbitrary wave numbers, air–water and olive oil–water systems are considered, in order to determine the influence of the channel thickness and the mean interfacial height on the stability of the flow. This paper characterizes those physical situations in which the primary instability is to long-wave interfacial disturbances. The odd Orr–Sommerfeld shear mode within the water layer, which is necessarily stable in plane Poiseuille flow, is found to grow and even be the dominant mode of instability for the olive oil–water system. The consequences beyond linear stability are discussed. © 1994 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.868382
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  • 10
    Electronic Resource
    Electronic Resource
    Spreading and imbibition of viscous liquid on a porous base (1999)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 11 (1999), S. 48-57 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The competition between the viscous spreading of liquid on a substrate and the absorption by the substrate is studied using several models. The local behaviors near the contact lines, the time scales of droplet spreading and disappearance, and the dependencies on the physical factors that enter are discussed. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869901
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