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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Industrial & engineering chemistry research 34 (1995), S. 3303-3306 
    ISSN: 1520-5045
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    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 1 (1989), S. 61-76 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Analytical results are obtained for mobility functions that describe the hydrodynamic interactions for transverse motions of two unequal viscous drops. In conjunction with the results of an earlier paper on axisymmetric motions, the motion induced by external forces in an arbitrary direction, i.e., the solution of the general mobility problem, is thus obtained. In the problem of interest, the drops are small and the surface tension is sufficiently high so that the drops retain a spherical shape. Exact solutions for the velocity images for Stokeslets and higher-order Stokes singularities near a viscous drop are introduced and then these image solutions are used to generate expressions valid for all two-sphere geometries except those for which the gap is much smaller than the diameter of the smaller drop. For rigid spheres, these results are used to obtain a closed-form expression for the Stokes–Einstein Brownian diffusion coefficient.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 31 (1988), S. 2445-2455 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Analytical results are obtained for mobility functions which describe the hydrodynamic interactions between two unequal viscous drops. It is assumed that the surface tension is sufficiently high so that the drops retain a spherical shape. Exact solutions are introduced for the velocity images for Stokeslets and higher-order Stokes singularities near a viscous drop and then these image solutions are used to generate expressions valid for all two-sphere geometries except those for which the gap is much smaller than the diameter of the smaller drop. For rigid spheres, these results are used to obtain a closed-form expression for the Stokes–Einstein Brownian diffusion coefficient.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 9 (1997), S. 1218-1221 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Stokes flow past the unusual geometry of two fused (overlapping) spheres, somewhat surprisingly, has an exact analytic solution, provided that the spheres intersect orthogonally. The problem of flow past a partially encapsulated droplet is considered, to illustrate the basic idea. The simple nature of the analytical solution is of some interest in biophysical models of molecular assemblies involving a combination of stick and slip surfaces. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 2033-2045 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The resistance and mobility functions which completely characterize the linear relations between the force, torque, and stresslet and the translational and rotational velocities of two spheres in low-Reynolds-number flow have been calculated using a boundary collocation technique. The ambient velocity field is assumed to be a superposition of a uniform stream and a linear (vorticity and rate-of-strain) field. This is the first compilation of accurate expressions for the entire set of functions. The calculations are in agreement with earlier results for all functions for which such results are available. The technique is successful at all sphere–sphere separations except at the almost-touching (gaps of less than 0.005 of the sphere diameter) configuration. New results for the stresslet functions have been used to determine Batchelor and Green's [J. Fluid Mech. 56, 401 (1972)] order c2 coefficient in the bulk stress (7.1 instead of their 7.6). The two-sphere functions have also been used to determine the motion of a rigid dumbbell in a linear field. We also show that certain functions have extrema.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 110 (1988), S. 8244-8245 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 6 (1994), S. 2221-2223 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: This Brief Communication derives a more compact form of the fundamental solution to the Stokes equations for a point force (Stokeslet) in a fluid domain bounded by a rigid spherical container. Although equivalent to Oseen's (1927) solution, the present form is more useful in subsequent applications in boundary integral equation methods.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 106 (1997), S. 8285-8286 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: This note presents an analysis of the viscosity of linear and branched polymer melts at low shear rates and compares the results of several different nonequilibrium molecular dynamics methods. The new, more precise results presented here indicate that earlier calculations of the zero shear viscosity of linear polymers are consistent with Green–Kubo estimates. For branched chains, however, these results suggest that earlier extrapolation of viscosities to zero shear rate overpredicted the effect of branching. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 30 (1987), S. 2309-2314 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Stokes flow past three spheres is solved analytically by use of (new) addition theorems that transform vector harmonics between different coordinate centers. The extension to other special configurations of N spheres is indicated. The method is illustrated for uniform flow past three spheres in a triangular cluster, with good agreement with experimental sedimentation velocities.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 45 (1994), S. 177-201 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The paper is concerned with the load transfer problem between two rigid spherical inclusions in an elastic matrix. A reflection-type formula is developed which is accurate up to and including terms ofO(a/R)4, wherea is the maximum radius of the inclusions, andR is the centre-to-centre distance between the two inclusions. Asymptotic results are derived at near touching showing a weak logarithmic singularity in the load transfer. The results are verified by a direct numerical calculation using a boundary collocation method. The numerical method uses Kelvin's general solution as the basis functions for the approximate solution and is highly accurate and efficient, even at near touching.
    Type of Medium: Electronic Resource
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