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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 4 (1997), S. 566-570 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A conducting solid sphere is translating and rotating both with exponential time dependent decay in an electrically conducting viscous liquid. This motion takes place in the presence of a magnetic field which originates both in the interior and exterior of the moving sphere. The fluid velocity and magnetic fields are analytically constructed in a concise form, and a compact expression is given for the drag on the sphere. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 3029-3037 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Two- and three-dimensional models of the fluid motion through a junction are described for Stokes flow. It is found that for both models separation of the streamlines can occur on the branch of the outer channel wall with smaller flow rate. The relevance of the results for flow at higher Reynolds numbers is also described.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A linear slip, Basset-type, boundary condition having an experimentally adjustable phenomenological slip coefficient is used to remove the contact-line singularity that would otherwise prevent the movement of a partially penetrating sphere normal to a planar free surface F bounding a semi-infinite viscous fluid. Stokes flow calculations are presented for the quasistatic hydrodynamic force and torque resistance matrix for a half-submerged sphere that is instantaneously translating and rotating with vector velocities that are arbitrarily oriented relative to the free-surface unit normal vector. The singular components of this material matrix (arising either during translational motion normal to F or rotational motion about an axis lying within F) are shown to be finite for finite slip coefficients β, and to become logarithmically infinite in the traditional nonslip limit β→∞. The relative weakness of this logarithmic singularity suggests that a degree of slip as small as, say, 0.01%—which would presumably be kinematically indistinguishable from the no-slip case—could easily masquerade as a conventional "wall effect'' on the Stokes drag. A small degree of slip is thus hypothesized as a mechanism that would permit the observed transport of Brownian corpuscles across interfacial regions.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 6 (1994), S. 2224-2226 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: This note is concerned with steady Poiseuille flow through a pipe with a multiple connected cross section. The volumetric flux rate through a pipe with two regions of annular flow is contrasted with the flux through a one region of annular flow, in which the fluid cross-sectional area is the same in both cases. It is found that it is possible to generate both increased and decreased fluid dynamic efficiency in terms of volumetric flux rate, according to the relative ratio of the radii in the two regions of annular flow.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 1 (1989), S. 193-198 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A model for Stokes flow through a channel with a stenosis is presented for both two-dimensional motion and three-dimensional flow with axial symmetry. Expressions are found for both the axial velocity and wall stress on the boundary.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 32 (1981), S. 474-477 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Résumé Une solution de l'équation de Stokes est présentée pour une sphère entièrement immergée, la surface de séparation de deux fluides non mélangeables se situant á la hauteur du centre de cette sphère. Pour la surface de cette dernière la condition d'immobilité est remplacée par une condition de tension de cisaillement nulle.
    Notes: Abstract An explicit solution is found for flow past a sphere with perfect slip in a two phase flow of two immiscible viscous fluids. The interface remains flat and an expression is found for the drag on the sphere.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Flow, turbulence and combustion 30 (1974), S. 81-92 
    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 An exact solution of the Magnetohydrodynamic pipe flow equations is found in terms of elementary functions. As the Hartmann number increases from zero reverse motion in the pipe occurs and eventually separates from the boundary. With further increase in the Hartmann number the vorticity on the boundary continuously changes sign and the flow is analogous to laminar separation in field free hydrodynamics.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Flow, turbulence and combustion 25 (1972), S. 355-360 
    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 An explicit solution in terms of the stream function is found for the streaming M.H.D. flow past a semi-infinite flat plate in the presence of a perpendicular uniform magnetic field. Asymptotic forms of the velocity field at large distances are obtained, and a related problem involving a semi-infinite needle is also discussed.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Flow, turbulence and combustion 27 (1973), S. 14-18 
    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 An exact solution is found for a rotating paraboloid of revolution in a viscous conducting fluid, and in the presence of a uniform aligned magnetic field.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Journal of engineering mathematics 11 (1977), S. 81-88 
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary Two dimensional Stokes flow is considered round a smooth body containing in general a concave region facing the fluid. It is found that when the profile is shaped in a more complicated manner than a circle or an ellipse an attached vortex is present in the flow and this can exist when the body is partly concave.
    Type of Medium: Electronic Resource
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