Fluid dynamics of dilatant fluid

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Fluid dynamics of dilatant fluid. / Nakanishi, Hiizu; Nagahiro, Shin-ichiro; Mitarai, Namiko.

In: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 85, No. 1, 12.01.2012, p. 011401.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Nakanishi, H, Nagahiro, S & Mitarai, N 2012, 'Fluid dynamics of dilatant fluid', Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), vol. 85, no. 1, pp. 011401. https://doi.org/10.1103/PhysRevE.85.011401

APA

Nakanishi, H., Nagahiro, S., & Mitarai, N. (2012). Fluid dynamics of dilatant fluid. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 85(1), 011401. https://doi.org/10.1103/PhysRevE.85.011401

Vancouver

Nakanishi H, Nagahiro S, Mitarai N. Fluid dynamics of dilatant fluid. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics). 2012 Jan 12;85(1):011401. https://doi.org/10.1103/PhysRevE.85.011401

Author

Nakanishi, Hiizu ; Nagahiro, Shin-ichiro ; Mitarai, Namiko. / Fluid dynamics of dilatant fluid. In: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics). 2012 ; Vol. 85, No. 1. pp. 011401.

Bibtex

@article{d1fc4d8a30724b9ebd45b600aca1e108,
title = "Fluid dynamics of dilatant fluid",
abstract = "A dense mixture of granules and liquid often shows a severe shear thickening and is called a dilatant fluid. We construct a fluid dynamics model for the dilatant fluid by introducing a phenomenological state variable for a local state of dispersed particles. With simple assumptions for an equation of the state variable, we demonstrate that the model can describe basic features of the dilatant fluid such as the stress-shear rate curve that represents discontinuous severe shear thickening, hysteresis upon changing shear rate, and instantaneous hardening upon external impact. An analysis of the model reveals that the shear thickening fluid shows an instability in a shear flow for some regime and exhibits the shear thickening oscillation (i.e., the oscillatory shear flow alternating between the thickened and the relaxed states). The results of numerical simulations are presented for one- and two-dimensional systems.",
author = "Hiizu Nakanishi and Shin-ichiro Nagahiro and Namiko Mitarai",
year = "2012",
month = jan,
day = "12",
doi = "10.1103/PhysRevE.85.011401",
language = "English",
volume = "85",
pages = "011401",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "1",

}

RIS

TY - JOUR

T1 - Fluid dynamics of dilatant fluid

AU - Nakanishi, Hiizu

AU - Nagahiro, Shin-ichiro

AU - Mitarai, Namiko

PY - 2012/1/12

Y1 - 2012/1/12

N2 - A dense mixture of granules and liquid often shows a severe shear thickening and is called a dilatant fluid. We construct a fluid dynamics model for the dilatant fluid by introducing a phenomenological state variable for a local state of dispersed particles. With simple assumptions for an equation of the state variable, we demonstrate that the model can describe basic features of the dilatant fluid such as the stress-shear rate curve that represents discontinuous severe shear thickening, hysteresis upon changing shear rate, and instantaneous hardening upon external impact. An analysis of the model reveals that the shear thickening fluid shows an instability in a shear flow for some regime and exhibits the shear thickening oscillation (i.e., the oscillatory shear flow alternating between the thickened and the relaxed states). The results of numerical simulations are presented for one- and two-dimensional systems.

AB - A dense mixture of granules and liquid often shows a severe shear thickening and is called a dilatant fluid. We construct a fluid dynamics model for the dilatant fluid by introducing a phenomenological state variable for a local state of dispersed particles. With simple assumptions for an equation of the state variable, we demonstrate that the model can describe basic features of the dilatant fluid such as the stress-shear rate curve that represents discontinuous severe shear thickening, hysteresis upon changing shear rate, and instantaneous hardening upon external impact. An analysis of the model reveals that the shear thickening fluid shows an instability in a shear flow for some regime and exhibits the shear thickening oscillation (i.e., the oscillatory shear flow alternating between the thickened and the relaxed states). The results of numerical simulations are presented for one- and two-dimensional systems.

U2 - 10.1103/PhysRevE.85.011401

DO - 10.1103/PhysRevE.85.011401

M3 - Journal article

C2 - 22400567

VL - 85

SP - 011401

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 1

ER -

ID: 36078087