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  • 1
    Electronic Resource
    Electronic Resource
    Stability analysis of gravity driven shear flows with free surface for power-law fluids (1998)
    Springer
    Archive of applied mechanics 68 (1998), S. 169-178 
    Details
    ISSN: 1432-0681
    Keywords: Key words Shear flow ; thin film ; linear instability ; power-law fluid ; slow/rapid flow
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary We study the stability of thin films of fluids subject to gravity along inclined planes, obeying a power-law constitutive relation of the Ostwald-de Waele type. A first analysis, in which the inertia terms are ignored, shows such flow to be stable against small, linear perturbations; a second analysis, in which the inertia terms are included, proves that there are stable and unstable regimes that are separated by a critical Ostwald-de Waele number O. Numerical computations for selected values of O demonstrate the decay and growth rate behavior of some finite amplitude disturbances.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004190050154
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  • 2
    Electronic Resource
    Electronic Resource
    Wind-induced baroclinic response of Lake Constance (2000)
    Springer
    Annales geophysicae 18 (2000), S. 1488-14501 
    Details
    ISSN: 0992-7689
    Keywords: Oceanography: general (limnology; numerical modeling) ; Oceanography: physical (internal and inertial waves)
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract We present results of various circulation scenarios for the wind-induced three-dimensional currents in Lake Constance, obtained with the aid of a semi-spectral semi-implicit finite difference code developed in Haidvogel et al. and Wang and Hutter. Internal Kelvin and Poincaré-type oscillations are demonstrated in the numerical results, whose periods depend upon the stratification and the geometry of the basin and agree well with measured data. By solving the eigenvalue problem of the linearized shallow water equations in the two-layered stratified Lake Constance, the interpretation of the oscillations as Kelvin and Poincaré-type waves is corroborated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s00585-000-1488-6
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  • 3
    Electronic Resource
    Electronic Resource
    Barotropic wind-driven circulation patterns in a closed rectangular basin of variable depth influenced by a peninsula or an island (2000)
    Springer
    Annales geophysicae 18 (2000), S. 706-727 
    Details
    ISSN: 0992-7689
    Keywords: Oceanography: general (limnology; numerical modeling) ; Oceanography: physical (currents)
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract We study how a coastal obstruction (peninsula or coastal island) affects the three-dimensional barotropic currents in an oblong rectangular basin with variable bathymetry across the basin width. The transverse depth profile is asymmetric and the peninsula or island lies in the middle of the long side of the rectangle. A semi-spectral model for the Boussinesq-approximated shallow water equations, developed in Haidvogel et al. and altered for semi-implicit numerical integration in time in Wang and Hutter, is used to find the steady barotropic state circulation pattern to external winds. The structural (qualitative) rearrangements and quanti2tative features of the current pattern are studied under four principal wind directions and different lengths of the peninsula and its inclination relative to the shore. The essentially non-linear relationships of the water flux between the two sub-basins (formed by the obstructing peninsula) and the corresponding cross-sectional area left open are found and analysed. It is further analysed whether the depth-integrated model, usually adopted by others, is meaningful when applied to the water exchange problems. The flow through the channel narrowing is quantitatively estimated and compared with the three-dimensional results. The dynamics of the vortex structure and the identification of the up-welling/down-welling zones around the obstruction are discussed in detail. The influence of the transformation of the peninsula into a coastal island on the global basin circulation is considered as are the currents in the channel. The geometric and physical reasons for the anisotropy of the current structure which prevail through all obtained solutions are also discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s00585-000-0706-6
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