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  • 1
    Electronic Resource
    Electronic Resource
    Time-dependent, diffusion-controlled reactions: The influence of boundaries (1989)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 90 (1989), S. 177-182 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A configurational averaging procedure is presented for the analysis of diffusion-controlled reactions in a medium containing a hard-sphere distribution of spherical sinks. The hierarchy of equations produced from the averaging procedure is truncated assuming low concentration of sinks. The method is shown to reproduce previous results for the decay of an initially uniform distribution of reactant in an unbounded medium and is subsequently applied to determine the reactant flux on the boundary of a semiinfinite domain. In the latter problem, the boundary has a significant effect which cannot be accounted for by the usual rate coefficient.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.456511
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The unsteady Stokes resistance of arbitrarily oriented, finite-length cylinders (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 3004-3006 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The unsteady (oscillatory) Stokes resistance is numerically computed for finite-length, circular cylinders using a first-kind, boundary integral formulation for low and moderate dimensionless frequencies. Translational oscillations parallel and perpendicular to the cylinder axis (axial and transverse oscillations) are considered. For arbitrarily oriented cylinders with length-to-width ratios in the range: 1/10≤a/b≤10, a simple, previously proposed, expression accurately (±5%) describes the oscillatory Stokes resistance at all frequencies in terms of steady Stokes and inviscid flow resistance parameters. Numerical calculations for spheroids agree with previous results; the results for cylinders and transverse oscillations of oblate spheroids are new.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858707
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Stokes resistance, added mass, and Basset force for arbitrarily oriented, finite-length cylinders (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 765-767 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Stokes resistance, added mass, and Basset force are numerically computed for finite-length, circular cross-section cylinders using a boundary integral formulation. Numerical results are presented for cylinders translating parallel and perpendicular to their symmetry axes with length-to-width ratios in the range: 0.01≤a/b≤100. There is good agreement with the limited experimental and numerical results of previous studies and slender-body theory. Simple, analytical formulas for the Stokes force, added mass, and Basset force of spheroids are contrasted with the numerical results for cylinders of the same aspect ratio. For some of these parameters, significant differences persist for disk- and rod-shaped particles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858660
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    Paper (German National Licenses)
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