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  • 1
    Electronic Resource
    Electronic Resource
    Stokes flow in the presence of a planar interface covered with incompressible surfactant (1999)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 11 (1999), S. 251-258 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Lorentz solution for Stokes flow in the presence of a plane wall is generalized to a surfactant-covered interface, and the Stokeslet solution is derived. The result is used to describe the motion of a small particle in the presence of the interface. The surfactant is insoluble and nondiffusing. The effects of surface viscosity are included. Small variations in surfactant concentration are assumed; this assumption usually holds under small capillary number conditions. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869875
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  • 2
    Electronic Resource
    Electronic Resource
    Drop breakup in three-dimensional viscous flows (1998)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 10 (1998), S. 1781-1783 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A new three-dimensional boundary integral algorithm is presented that is capable of simulating the process of drop breakup in viscous flows. The surface discretization is fully adaptive, thus providing accurate resolution of the highly deformed drop shapes that are characteristic of breakup events. Our algorithm is used to study drop breakup in shear flow and in buoyancy; the predictions are compared with experimental observations. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869697
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  • 3
    Electronic Resource
    Electronic Resource
    Diffusion-controlled, heterogeneous reaction in a material with a bimodal poresize distribution (1994)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 100 (1994), S. 7580-7589 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A theoretical analysis is developed for diffusion-controlled, heterogeneous reaction in a material with a bimodal poresize distribution. A configurational averaging procedure is used to describe a sparse, random network of macropore capillaries contained in a reactive, otherwise homogeneous matrix. The analysis is valid for a wide range of reactivities, and is particularly suited for conditions where reactant concentration varies on a length scale comparable to the diameter of, or the spacing between the macropores. The results depend on the reactivity on the matrix, the void volume of the macropore network, and the macropore to matrix diffusivity ratio. A local effectiveness parameter, which depends on the reactivity and macropore void volume, characterizes the reaction behavior in the material. An exact numerical solution is obtained that depends analytically on the parameters of the problem, and an accurate analytical representation is derived that depends very simply on the local effectiveness, the macropore void volume, and the diffusivity ratio; typical results are presented. The solution reduces to simplified models of the heterogeneous reaction in the low- and high-reactivity limits, where reactant concentration varies on a length scale that is large compared to the macropore spacing or small compared to the macropore diameter.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.466851
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  • 4
    Electronic Resource
    Electronic Resource
    Asymmetric, oscillatory motion of a finite-length cylinder: The macroscopic effect of particle edges (1994)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 6 (1994), S. 1095-1107 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The oscillatory motion of a finite-length, circular cylinder perpendicular to its symmetry axis in an incompressible, viscous fluid is described by the unsteady Stokes equations. Numerical calculations are performed using a first-kind, boundary-integral formulation for particle oscillation periods comparable to the viscous relaxation time. For high-frequency oscillations, a two-term, boundary layer solution is implemented that involves two, sequentially solved, second-kind integral equations. Good agreement is obtained between the boundary layer solution and fully numerical solutions at moderate oscillation frequencies. At the edges, where the base joins the side of the cylinder, the pressure and both components of tangential stress exhibit distinct, singular behaviors that are characteristic of steady, two-dimensional, viscous flow. Numerical calculations accurately capture the theoretically predicted singular behavior. The unsteady flow reversal process is initiated by a complex near-field flow reversal process that is inferred from the tangential stress distribution. A qualitative picture is constructed that involves the formation of three viscous eddies during the decelerating portion of the oscillation cycle: two attached to the ends of a finite-length cylinder, and a third that wraps around the cylinder centerline; the picture is similar to the results for axisymmetric flow. As deceleration proceeds, the eddies grow and coalesce at the cylinder edges to form a single eddy that encloses the entire particle. The remainder of the oscillatory flow cycle is insensitive to particle geometry and orientation. The macroscopic effect of the sharp edges is illustrated by considering ultrasonic, viscous dissipation in a dilute suspension. For a fixed particle-to-fluid density ratio, four different frequency regimes are identified. Four distinct viscous dissipation spectra are shown for different particle-to-fluid density ratios. The results indicate that particle geometry is important only for particles considerably less dense than the suspending fluid. The effect of edges is most apparent for disk- and rod-shaped particles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.868281
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