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  • 1
    Electronic Resource
    Electronic Resource
    Flow between finite, steadily rotating eccentric cylinders (1995)
    Springer
    Theoretical and computational fluid dynamics 7 (1995), S. 1-28 
    Details
    ISSN: 1432-2250
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract While concentric cylinder flows exhibit Ekman pumping at small values of the Reynolds number, once the container symmetry is broken, fluid particles migrate toward the horizontal midplane within the diverging part of the flow domain, and they move away from the midplane within the converging part of the domain. Under this condition, Ekman pumping is evident only at the widest and at the narrowest sections of the gap. When gradually increasing the Reynolds number, the flow acquires a cellular structure in a manner reminiscent of Benjamin's symmetric flow data. The cells spread from the stationary end-plates and link up at the center. The cells persist round the cylinder with varying strength and thus are truly toroidal. We show evidence of solution multiplicity at higher values of the Reynolds number by calculating two qualitatively different flows. One flow contains four cells, the other contains six, and both are supported by identical steady-state conditions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00312397
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Rotating disk with uniform suction in streaming flow (1986)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 6 (1986), S. 175-196 
    Details
    ISSN: 0271-2091
    Keywords: Rotating Disk ; Asymmetric Flow ; Bifurcation ; Navier-Stokes ; Exact Solutions ; Multiplicity ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We investigate the flow as it occurs above a single rotating disk when uniform suction is applied at the disk surface. It has been demonstrated by others that at zero suction repeated branching of the solution occurs as the parameter s is varied, where s is the ratio of the angular velocity of the fluid at infinity to the angular velocity of the disk. We show multiplicity of solution also at -0·82≤α≤1·15, where α is the suction parameter; for large absolute values of α the solution fails to turn back on itself and we obtain only the von Karman solution.We then generalize the von Karman solution for flow above a single rotating disk with uniform suction to include non-axisymmetric solutions due to streaming at infinity. These solutions are continuous in an arbitrary parameter, the streaming velocity at infinity; for zero value of this parameter the asymmetric flow degenerates into the classical von Karman flow. Thus the classical solution is never isolated when considered within the framework of the Navier-Stokes equations: there are asymmetric solutions in every neighbourhood of the von Karman solution.
    Additional Material: 25 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650060402
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Stability of flow over a rotating disk (1984)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 4 (1984), S. 989-996 
    Details
    ISSN: 0271-2091
    Keywords: Galerkin ; Spline ; Stability ; Disk ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The perturbation equations which characterize the stability of flow over a rotating infinite disk are derived via strict order of magnitude analysis. These equations contain viscous terms not considered by Stuart,1 curvature and Coriolis terms not considered by Brown,2 and axial velocity terms not considered by Kobayashi et al.3 The strategy for reducing the problem to an algebraic system is Galerkin's method with B-spline discretization. In comparison with the Poiseuille flow solutions of Orszag,4 the method is shown to perform well without placing undue demands on computing capability. Critical values of Reynolds number, wave length, vortex orientation and number of spiral vortices calculated by the present method compare favourably with experimental data of Kobayashi et al.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650041007
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    Paper (German National Licenses)
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