Tue01Feb20224:00 pmLewis Hall 101
Colloquium: Effects of Viscosity on Effective Dynamic Properties
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