Loughborough University
Browse
pdf_archiveJASMANvol_145iss_63727_1.pdf (1.16 MB)

Effective dynamic properties of random complex media with spherical particles

Download (1.16 MB)
journal contribution
posted on 2019-06-26, 08:58 authored by Mahbub Alam, Valerie PinfieldValerie Pinfield, Francine Luppe, Pierre Marechal
The effective dynamic bulk modulus and density are presented for random media consisting of particles in a viscous host fluid, using a core-shell, self-consistent effective medium model, under the large compressional wavelength assumption. These properties are relevant to acoustic or dynamic processes in nano- and microparticle fluids including particle density determination, resonant acoustic mixing and acoustic characterisation. Analytical expressions are obtained for the effective bulk modulus and mass density, incorporating the viscous nature of the fluid host into the core-shell model through wave mode conversion phenomena. The effective density is derived in terms of particle concentration, particle and host densities, particle size, and the acoustic and shear wavenumbers of the liquid host. The analytical expressions obtained agree with prior known results in the limit of both static and inviscid cases; the ratio of the effective bulk modulus to that of the fluid is found to be quasi-static. Numerical calculations demonstrate the dependence of the effective mass density on frequency, particle size (from nano- to micro-regime) and concentration. Herein it is demonstrated both theoretically and numerically that the viscosity, often neglected in the literature, indeed plays a significant role in the effective properties of nanofluids.

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Chemical Engineering

Published in

Journal of the Acoustical Society of America

Volume

145

Issue

6

Pages

3727–3740

Citation

ALAM, M.M. et al., 2019. Effective dynamic properties of random complex media with spherical particles. Journal of the Acoustical Society of America, 145 (6), pp. 3727–3740.

Publisher

© Acoustical Society of America

Version

  • VoR (Version of Record)

Publisher statement

This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America.

Acceptance date

2019-05-28

Publication date

2019-06-26

Notes

Copyright (2019) Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America. The following article appeared in ALAM, M.M. et al., 2019. Effective dynamic properties of random complex media with spherical particles. Journal of the Acoustical Society of America, 145 (6), pp. 3727–3740 and may be found at http://asa.scitation.org/doi/10.1121/1.5111743

Language

  • en

Usage metrics

    Loughborough Publications

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC