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  • 1
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    Stability analysis of gravity driven shear flows with free surface for power-law fluids (1998)
    Springer
    Details
    Publication Date: 1998-04-17
    Print ISSN: 0939-1533
    Electronic ISSN: 1432-0681
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Published by Springer
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  • 2
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    On vortex air motions above an axisymmetric source of mass, momentum and heat (1995)
    Cambridge University Press
    Details
    Publication Date: 1995-05-10
    Description: We study axisymmetric plume dispersion from a steady source of mass, momentum and/or heat that is subjected to either a time-dependent large-scale external vortex or small-scale turbulent axisymmetric helicity. On the basis of the turbulent boundary layer and Boussinesq assumptions and by assuming similarity profiles with Gaussian distribution in the radial direction the balance equations of mass, momentum, and energy reduce to a system of nonlinear differential equations for amplitude functions of axial velocity, pressure and density differences as well as azimuthal velocity. The system of equations is closed with Taylor's entrainment assumption. The plume radius and the typical radius of the large-scale external vortex are also determined. For a simple density structure of the ambient atmosphere (i.e. adiabatic conditions) analytical results can be obtained, but for more complicated cases, i.e. a layered polytropic atmosphere, the governing equations are examined numerically; computations are reasonably simple and efficient. © 1995, Cambridge University Press. All rights reserved.
    Print ISSN: 0022-1120
    Electronic ISSN: 1469-7645
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Published by Cambridge University Press
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  • 3
    Electronic Resource
    Electronic Resource
    A model of non-equilibrium turbulence with an asymmetric stress. Application to the problems of thermal convection (1995)
    Springer
    Continuum mechanics and thermodynamics 7 (1995), S. 415-437 
    Details
    ISSN: 1432-0959
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A critical review of hydrodynamical models with asymmetric stress tensor is given. Particular attention is focused on the balance law of angular momentum as the necessary element for a correct description of the internal motions of turbulent oriented eddies. On the basis of this analysis a non-equilibrium turbulence model is proposed that is shown to be close to the hydrodynamic equations with intrinsic rotation and helical turbulence. We employ this model in the study of the initial stage of thermal convection in a horizontal layer of a rotating non-equilibrium turbulent fluid that is heated from below. Linearizing the balance equations of mass, momentum, angular momentum and energy yields the boundary value problem, from which the general properties of the spectrum are determined. In the case of the horizontal layer with equilibrium boundary conditions on free boundaries we study the influence of the rotation and turbulent motion on the convective instability.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01175666
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Large-scale vortical structure, supported by small-scale turbulent motions. Helicity as a cause for inverse energy cascade (1991)
    Springer
    Continuum mechanics and thermodynamics 3 (1991), S. 127-146 
    Details
    ISSN: 1432-0959
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this article we demonstrate that turbulent stress contributions which depend on the rotation of the frame of reference (and therefore are system dependent) give rise to the inverse energy cascade, and thus introduce an ordering in the structure of turbulence. We first demonstrate that a non-rotating Boussinesq fluid subject to an artificial force that is not invariant under parity changes of the orthogonal group has a destabilizing effect in the B'enard problem. This destabilization is due to helicity and the stability regimes are divided into two regions: (1) If the helicitys is below a threshold values *, then long and very short wavelength disturbances at Rayleigh numbers Ra 〉 Racrit are stable whereas those with intermediate wavelengths are unstable. (2) If the helicitys 〉s * then all disturbances are unstable. For a rotating turbulent Boussinesq fluid we derive the most simple rotation dependent expression for the stress divergence and demonstrate that it leads quantitatively to a similar helicity dependent force. In the B6nard problem it gives rise to an analogous division of the stability/instability regime as obtained for non-rotating fluids subject to the artificial helicity dependent force.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01129031
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  • 5
    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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