A method of numerical viscosity measurement for solid-liquid mixture

Reika Nomura, Kenjiro Terada, Shinsuke Takase, Shuji Moriguchi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present a space-time homogenization procedure for multiscale modeling of solid-liquid mixture. The derived mathematical model enables us to set up two separate governing equations at both macro- and micro-scales. The fluid in the macroscopic governing equation is teated as an equivalent homogeneous medium with average or homogenized viscosity and is regarded as an incompressible Newtonian fluid, whose motion is assumed to be governed by the Navier-Stokes equations. The microscopic equations of motion governing the coupling phenomenon of the fluid and solid particles in a certain local domain and are solved to determine the microscopic flow fields under adequate boundary and loading conditions. Then the macrosopic viscosity is determined as the quantity averaged over the microscopic domain and within a certain time interval. The numerical viscosity measurement (NVM) can be realized by this space-time homogenization procedure. A set of NVMs is presented to demonstrate that the solid-liquid mixture considered in this study possibly exhibits a macroscopic flow characteristics of a special type of non-Newtonian fluids.

Original languageEnglish
Title of host publicationMultiscale Modeling of Heterogeneous Structures
EditorsPeter Wriggers, Olivier Allix, Jurica Soric
PublisherSpringer-Verlag
Pages347-363
Number of pages17
ISBN (Print)9783319654621
DOIs
Publication statusPublished - 2018 Jan 1
EventInternational Workshop on Multiscale Modeling of Heterogeneous Structures, MUMO 2016 - Dubrovnik, Croatia
Duration: 2016 Sep 212016 Sep 23

Publication series

NameLecture Notes in Applied and Computational Mechanics
Volume86
ISSN (Print)1613-7736

Other

OtherInternational Workshop on Multiscale Modeling of Heterogeneous Structures, MUMO 2016
CountryCroatia
CityDubrovnik
Period16/9/2116/9/23

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computational Theory and Mathematics

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  • Cite this

    Nomura, R., Terada, K., Takase, S., & Moriguchi, S. (2018). A method of numerical viscosity measurement for solid-liquid mixture. In P. Wriggers, O. Allix, & J. Soric (Eds.), Multiscale Modeling of Heterogeneous Structures (pp. 347-363). (Lecture Notes in Applied and Computational Mechanics; Vol. 86). Springer-Verlag. https://doi.org/10.1007/978-3-319-65463-8_17