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  • 1
    Electronic Resource
    Electronic Resource
    On flow through a porous annular pipe (1992)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 1131-1141 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In this paper the axisymmetric flow of a viscous fluid through a porous annular pipe with constant and equal fluxes through each pipe wall is studied theoretically. A nondimensional parameter, δ, based on the radii of the walls of the pipe is defined and the equations and boundary conditions are written so that at δ=0 they coincide with the analogous two-dimensional problem. By numerical integration, the significant properties found previously for δ=0 are continued into the region 0〈δ〈1 corresponding to flow in an annular pipe. Of the steady, unsteady, periodic, quasiperiodic, and chaotic solutions found when δ=0, only steady, unsteady, and periodic solutions have been found when δ≠0.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858231
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The flow of an electrically conducting fluid at a rear stagnation point (1984)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 35 (1984), S. 72-80 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Résumé Nous considérons l'écoulement magneto-hydrodynamique impulsivement engendré à un point de stagnation arrière. On porte plus loin l'étude de Leibovich par la formulation du problème visqueux intérieur et en fournissant des solutions analytiques et numériques complètes correspondantes au champ entier du paramètre d'interaction. On montre que les résultats actuels sont en accord avec les solutions numériques, et de similitude et de non-similitude, déjà connues des équations stationnaires.
    Notes: Summary We consider the impulsively generated magnetohydrodynamic flow at a rear stagnation point. The work of Leibovich is carried further by formulating the inner viscous problem and providing analytical solutions and complete numerical solutions for the entire range of the interaction parameter. It is shown that the present results are consistent with previously obtained numerical solutions to the steady equations of both similarity and non-similarity form.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00945177
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  • 3
    Electronic Resource
    Electronic Resource
    Buchbesprechungen (1983)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 34 (1983), S. 763-764 
    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/BF00948815
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  • 4
    Electronic Resource
    Electronic Resource
    A note concerning free-convective boundary-layer flows (1985)
    Springer
    Journal of engineering mathematics 19 (1985), S. 247-249 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary We show that the free-convective boundary-layer flow in a porous medium in the vicinity of a parameter value at which similarity solutions cease to exist is of semi-jet form.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00042537
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  • 5
    Electronic Resource
    Electronic Resource
    On the spatial stability of free-convection flows in a saturated porous medium (1987)
    Springer
    Journal of engineering mathematics 21 (1987), S. 41-46 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract We consider the free-convection boundary-layer flow in a saturated porous medium adjacent to an impermeable vertical surface. It is assumed that the surface is supplying heat to the porous medium in a prescribed way, which varies along the surface. The problem, which relates to the spatial stability of the known similarity solutions of the boundary-layer equations, is formulated and certain analytical results presented for special cases. For this special class of flows we are able to determine analytically the first eigenvalue for all relevant parameter values and thereby show that such flows are spatially stable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00127692
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  • 6
    Electronic Resource
    Electronic Resource
    Buoyancy-driven flow between parallel plane vertical walls (1991)
    Springer
    Journal of engineering mathematics 25 (1991), S. 375-397 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract We examine theoretically the two-dimensional free-convective flow in a parallel-walled cell with vertical walls at non-uniform temperature; this temperature variation is such that similarity solutions for the flow and temperature fields are possible. Both symmetric and asymmetric boundary conditions are considered. In the former case we find that in addition to a trivial symmetric solution, corresponding to stagnant flow, there are non-trivial steady symmetric solutions and also steady asymmetric solutions for certain ranges of Rayleigh number. The temporal stability of all these solutions is also investigated and the nature of the bifurcations examined; these include bifurcations of pitchfork, transcritical and Hopf types. The breaking of symmetry is studied and also the effect on the flow character of different Prandtl numbers.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00037467
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  • 7
    Electronic Resource
    Electronic Resource
    The collision of unsteady laminar boundary layers (1979)
    Springer
    Journal of engineering mathematics 13 (1979), S. 193-212 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary The boundary-layer growth near the equator of an impulsively rotated sphere is considered numerically and analytically. The numerical work is highly suggestive of the presence of a singularity at a finite time at which two of the velocity components and the swirl displacement thickness become infinite. Details of an analytic investigation are presented which is consistent with the gross features of the numerical results. Brief consideration is also given to the flow near the equators of impulsively rotated spheroids and it is shown that the relevant boundary-layer equations for this class of bodies can be written in the same form as those for the sphere.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00036669
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    Flow in a pipe driven by suction at an accelerating wall (1995)
    Springer
    Acta mechanica 110 (1995), S. 111-121 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary The axisymmetric flow of a viscous fluid in a pipe driven by suction at the pipe wall and acceleration of the wall is examined using a similarity form of solution: the particular combination of the two effects chosen is one in which there is a simple analytical solution. The temporal stability of solutions (both this analytical one and other numerical ones) is investigated for various values of the Reynolds numberR, and stable and unstable parts of the solution branches are identified. A transcritical bifurcation is found and also a Hopf bifurcation. We consider also the corresponding nonlinear diffusion problem and present some solutions. Finally we examine the continuation from the present problem to the flow in a pipe driven by suction only.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01215419
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  • 9
    Electronic Resource
    Electronic Resource
    Suction-driven flow in a finite wedge (1991)
    Springer
    Acta mechanica 86 (1991), S. 95-101 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary Many studies have been made of suction or injection through the walls of a porous channel. In most cases the flow is assumed to be two-dimensional and a similarity solution is exploited. In this paper we consider the effect of side walls on the axisymmetric flow between two parallel and porous discs with suction on both discs when the Reynolds number is large. We find that a threedimensional boundary layer is required on each of the bounding side walls, the results of which cast doubt on the notion of a simple axisymmetric flow in the inviscid part of the field.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01175951
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  • 10
    Electronic Resource
    Electronic Resource
    Swirling flow in a porous pipe with an accelerating wall (1996)
    Springer
    Acta mechanica 119 (1996), S. 1-12 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary In this paper we consider the temporal stability of flow in a pipe: the flow is driven by uniform steady suction through the pipe wall which is also accelerating. A previous study of the temporal stability in which the swirl was taken to be zero is generalised so that the effect of a swirl perturbation is considered. As in the earlier work a similarity form of solution is used. We find that the flow becomes unstable at a much lower value of the Reynolds number than in the zero swirl case. Further, from the integration of the diffusion equation we find that, after the loss of stability, the solution ‘explodes’ at finite time, and we relate this structure to vortex stretching and the possible advent of turbulen motion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01274234
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