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  • 1
    Electronic Resource
    Electronic Resource
    Taylor vortex flow between eccentric coaxial rotating spheres (1990)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 2 (1990), S. 1564-1573 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The rotationally symmetric, incompressible, spherical Couette flow between two spheres is examined, where the inner one rotates and the outer one is at rest. The investigation was done by means of a finite-element program that solves the axisymmetric Navier–Stokes equations. Both concentric and eccentric spherical gaps are considered for two different radii ratios of a medium sized gap. The emphasis is laid upon the development of Taylor vortices out of the basic laminar flow, the transition between flow modes and the effect of eccentricities of different magnitudes. In the concentric case, the transition from the basic flow to a flow with two pairs of Taylor vortices is investigated by a steady as well as a transient analysis. The transition from the basic flow to a flow with one pair of Taylor vortices is examined by a steady analysis using a mesh that is asymmetric about the equator and also by introducing a geometrical perturbation in the form of a small eccentricity. A hysteresis for this transition is found. As the eccentricity is increased, the magnitude of the hysteresis decreases until it disappears. Comparisons of the flow patterns with experimental results show good agreement.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.857563
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  • 2
    Electronic Resource
    Electronic Resource
    Thermal effects on axisymmetric vortex breakdown in a spherical gap (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 1211-1223 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The thermal effects on vortex breakdown in a Boussinesq fluid contained within a rotating concentric spherical annulus are examined numerically for the case in which the outer sphere is stationary and hot while the inner sphere rotates and is at a lower temperature. An axial gravitational field is assumed. The investigation was done by means of a steady-state axisymmetric finite-element code. The method of solution was verified by analyzing the axisymmetric vortex breakdown with and without thermal effects in a closed circular-cylindrical container with a rotating lid. Comparisons of the flow patterns with numerical results in the literature show good agreement. Solutions have been obtained for a spherical gap of radii ratio 0.5, Reynolds number 0≤Re≤6000, and Rayleigh number 0≤Ra≤1.5×106, at Prandtl number Pr=0.7. The results show that depending on the relative strength of the imposed temperature difference and rate of rotation, the flow field may be a large meridional circulation ("base flow'') with a disturbed symmetry about the equator, a bubble-type vortex breakdown on the polar axis, similar to that in the isothermal case, or a vortex ring centered on the polar axis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858607
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  • 3
    Electronic Resource
    Electronic Resource
    Vortex breakdown in spherical gap (1987)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 30 (1987), S. 1581-1583 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A finite element solution of the flow between rotating spheres shows a vortex breakdown for Reynolds numbers exceeding a critical value. The result is in agreement with published results for a vortex breakdown in a cylindrical enclosure.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.866223
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  • 4
    Electronic Resource
    Electronic Resource
    Vortex breakdown in the polar region between rotating spheres (1992)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 1677-1686 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The flow field in the polar region between a rotating and stationary, co- or counter-rotating sphere was studied numerically by a steady-state axisymmetric finite-element code and experimentally by flow visualization using a photochromic dye excited by a UV laser. The experimental results show that at a critical Reynolds number a steady axisymmetric vortex breakdown bubble forms at the polar axis, as predicted by the computation. At higher values of the Reynolds number, and depending on the gap, the eccentricity of the spheres along the axis of rotation, and their rotation ratio, further unsteady structures are observed experimentally, viz., an axially oscillating bubble, or a three-dimensional irregular structure.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858520
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  • 5
    Electronic Resource
    Electronic Resource
    Metal drilling with a CO2 laser beam. I. Theory (1989)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 65 (1989), S. 4995-5002 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The initiation and evolution of a "keyhole'' produced with a CO2 laser beam in a metal plate is analyzed, accounting for the following effects either exactly or by estimates of their limiting values: the spatial intensity profile of the beam, the temperature-dependent absorptivity, attenuation of the beam intensity by the metal vapor, the exothermic reaction in the presence of oxygen, evaporative material removal and flushing of molten drops, heat conduction within the workpiece, phase transitions from solid to liquid and from liquid to gas, and heat losses at the workpiece boundaries. A study of the drilling of aluminum plates shows the relative effect of these parameters on the crater shape and penetration time. Simple criteria for initiation, penetration rate, and shift to spontaneous burning are presented. In a companion paper experimental results are analyzed to validate the formalism and to yield estimates of the interaction parameters for a specific exposure condition.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.343171
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  • 6
    Electronic Resource
    Electronic Resource
    Radial jet in rotating outer flow (1984)
    Springer
    Flow, turbulence and combustion 41 (1984), S. 105-124 
    Details
    ISSN: 1573-1987
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The rotating radial jet formed by fluid introduced radially outwards into a rotating environment is studied by the momentum integral method and by perturbation for weak swirl, assuming incompressible laminar flow. For non-swirling outer fluid, the results slightly extend previously published results. For swirling outer fluid, the jet is characterized by a finite radial penetration distance. Its development over that distance is divided into three regions: an initial adjustment, a central pseudo-similarity region, and a final decay.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00419362
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  • 7
    Electronic Resource
    Electronic Resource
    Finite element solution of the Navier-Stokes equations in rotating flow (1981)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 17 (1981), S. 1123-1146 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The viscous incompressible rotating flow in a shrouded rotor geometry is solved by the finite element method, using the complete three-dimensional (axisymmetric) Navier-Stokes equations. Solutions to classical as well as to previously unsolved rotating flow problems are given and discussed.
    Additional Material: 14 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620170802
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  • 8
    Electronic Resource
    Electronic Resource
    Finite element analysis of rotating flow in a skewed shrouded rotor geometry (1982)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 351-362 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The effect of slight shroud skewness on rotating flow in an enclosed rotor geometry is modelled as a perturbation about axisymmetric flow. Solutions are obtained by the finite element method. Mixed and penalty finite element formulation are employed.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620180304
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  • 9
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    Radial jet in rotating outer flow (1984)
    Springer
    Details
    Publication Date: 1984-01-01
    Print ISSN: 1386-6184
    Electronic ISSN: 1573-1987
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Published by Springer
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  • 10
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    Vortex breakdown in spherical gap (1987)
    American Institute of Physics
    Details
    Publication Date: 1987-01-01
    Print ISSN: 0031-9171
    Topics: Physics
    Published by American Institute of Physics
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