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  • 1990-1994  (6)
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Material
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Year
  • 1
    Electronic Resource
    Electronic Resource
    Linear stability of shear profiles and relation to the secondary instability of the Dean flow (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 2161-2171 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Solutions of the Navier–Stokes equations for flow in a curved channel have previously been computed [Bottaro, J. Fluid Mech. 251, 627 (1993)] and the spatial development of the Dean flow is available at different supercritical Reynolds number. In this work the viscous instability of local longitudinal vortex structures (obtained from the nonlinear simulations) is investigated, with a focus toward the secondary instability of Dean vortices. Such a secondary instability takes the form of streamwise traveling waves. High-frequency waves are termed twisting waves, low frequency are defined undulating waves. Instead of performing analyses in which the basic flow in the cross section is two dimensional, significant shear profiles along y and z are considered as base flows at constant x before the establishment of a fully developed state. Thus one is able to discover that the twist instability is of shear type and is caused by inflectional spanwise profiles of the streamwise velocity component. Sinuous waves are always preferred to varicose waves, and the latter mode of instability is destabilized only at large Reynolds numbers. Undulating waves are related to normal profiles of the streamwise velocity; this type of secondary instability is of centrifugal origin. Results of the analyses for both types of waves are in good agreement with experiments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858555
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Goertler vortices with system rotation: Linear theory (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 1206-1210 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The equations which describe a boundary layer on a curved wall in a rotating system are derived and a linear stability analysis of a basic Blasius velocity profile is performed. Rotation can be either stabilizing or destabilizing corresponding to whether a rotation number is negative or positive, respectively. The stability boundaries at different rotation numbers and curves of constant positive growth rates are presented. It is shown that the flow is completely stabilized when the rotation number is ≤−1 in agreement with an inviscid Rayleigh-type analysis. For the cases examined growth rates increase linearly, in the initial phase, with streamwise distance.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858606
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Numerical and experimental results for developing curved channel flow (1991)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 3 (1991), S. 1473-1476 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Three-dimensional finite-volume simulations of the spatial development of centrifugally unstable flow in a curved channel have been performed, and compared with detailed hot-wire measurements. Both approaches revealed spatially developing streamwise vortex pairs at the concave wall, which gave rise to regions of alternating negative and positive streamwise perturbation velocities. The computational box size was chosen large enough so that the flow was allowed to naturally select the spanwise wave number. The computed velocity field was found to be in excellent agreement with the experimentally determined one.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.857982
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Onset and two-dimensional patterns of convection with strongly temperature-dependent viscosity (1992)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 655-663 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The onset of two-dimensional convection with strongly temperature-dependent viscosity has been considered for a fluid obeying an Arrhenius law. The critical Rayleigh number Rc and the basic features of the flow field at criticality have been identified based on a linear stability analysis. Convective flow patterns near and beyond criticality have been determined based on a direct numerical simulation. It is shown that, as the Rayleigh number R increases beyond Rc, steady rolls first emerge supercritically and that at sufficiently large values of R there is a secondary Hopf bifurcation corresponding to pulsating cells; the peculiar structure of the flow field in each case has been described.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858283
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Book reviews (1994)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 45 (1994), S. 502-503 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00945936
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Buchbesprechungen (1990)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 41 (1990), S. 313-314 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00945118
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    Paper (German National Licenses)
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