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Department of Physics and Astronomy
University of Mississippi


Event Information:

  • Tue

    Colloquium: Effects of Viscosity on Effective Dynamic Properties

    4:00 pmLewis Hall 101

    M. Mahbub Alam

    Daffodil International University, Dhaka, Bangladesh
    Effects of Viscosity on Effective Dynamic Properties

    Recent theoretical and experimental findings demonstrate that as the particle concentration in a suspension increases, the effect of viscosity of the base fluid becomes more and more significant, thereby requiring to be taken into account when calculating effective properties of a suspension. Here, we employ a core-shell, self-consistent, effective medium model to derive analytical approximations for effective bulk-modulus and effective mass density for a suspension of solid elastic spheres. We incorporate the viscosity of the suspending fluid into the model through wave conversion phenomena, primarily between compressional and shear wave modes. The analytical approximations are explicit functions of particle volume fraction, dimensionless compressional and shear wave numbers, and scattering coefficients of a single sphere. The dependence of effective properties on frequency, particle size, volume fraction, and viscosity are also investigated numerically.



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    Meeting ID: 919 282 27187