A method of numerical viscosity measurement for solid-liquid mixture

Reika Nomura, Kenjiro Terada, Shinsuke Takase, Shuji Moriguchi

研究成果: Conference contribution

抄録

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.

本文言語English
ホスト出版物のタイトルMultiscale Modeling of Heterogeneous Structures
編集者Peter Wriggers, Olivier Allix, Jurica Soric
出版社Springer Verlag
ページ347-363
ページ数17
ISBN(印刷版)9783319654621
DOI
出版ステータスPublished - 2018
イベントInternational Workshop on Multiscale Modeling of Heterogeneous Structures, MUMO 2016 - Dubrovnik, Croatia
継続期間: 2016 9 212016 9 23

出版物シリーズ

名前Lecture Notes in Applied and Computational Mechanics
86
ISSN(印刷版)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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