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  • 1985-1989  (3)
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Year
  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 29 (1986), S. 925-933 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: For convection in three-dimensional boxes of fluid-saturated porous media, an analog of the Rayleigh–Bénard problem at high Prandtl number, it is shown that cascades to time-dependent motion cannot occur within the weakly nonlinear regime for boxes up to moderate size. The convective nonlinearity forces the phase space that describes the interaction of finite-amplitude convection patterns to be globally attracting to large disturbances. In addition, the fastest growing patterns inhibit others in a way that precludes transitions to time-periodic motions. The analysis exploits a closed-form dependence on geometry for the infinite set of coefficients describing the nonlinear interactions in a representation of the governing equations by eigenfunction expansion.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 1 (1989), S. 1926-1937 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A cylindrical interface containing a viscous liquid set into axial motion is subject to a capillary and to a surface-wave instability. Clues from previous studies suggest that, even though both mechanisms separately are destabilizing, under certain circumstances their mutual interaction can lead to a stable interface; shear can stabilize capillary breakup. These clues lead the authors to consider an axial flow through an annular cross section bounded on the inside by a rigid rod and on the outside by a deformable interface. The competition between the two mechanisms is studied through the temporal growth of infinitesimal axisymmetric and nonaxisymmetric disturbances. This examination of temporal stability shows that, indeed, for geometries corresponding to thin annular layers both instabilities can be completely suppressed—disturbances of all wavelengths decay.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 34 (1988), S. 1673-1682 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The planar-flow melt-spinning process which is used to rapidly solidify metals from the molten state is shown to be dominated by the fluid mechanics of the “puddle” region even though heat-transfer limits the overall thickness of the metal ribbon product. The process is modeled to account for the hydrodynamical forces in the molten region with the influence of heat-transfer entering through a parameter measuring solidification rate relative to wheel speed. It is shown that this parameter H controls the deviation of the flow behavior from classical coating flow solutions; these solutions are recovered in a limiting case of low solidification rate. A perturbation solution in H distinguishes the melt spinning from the coating process and yields the ribbon thickness as a function of wheel-speed and the other process parameters for a class of contact-line conditions. Most interesting of these predictions is the result that under certain conditions there is a window of wheel-speeds for which there is no steady solution. The relationship of predictions with the limited available data from experiment is briefly discussed.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
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