pdf_archiveJASMANvol_145iss_63727_1.pdf (1.16 MB)
Effective dynamic properties of random complex media with spherical particles
journal contribution
posted on 2019-06-26, 08:58 authored by Mahbub Alam, Valerie PinfieldValerie Pinfield, Francine Luppe, Pierre MarechalThe 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 AmericaVolume
145Issue
6Pages
3727–3740Citation
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 AmericaVersion
- 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
2019-05-28Publication date
2019-06-26Notes
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/10.1121/1.5111743Publisher version
Language
- en