Investigation on Viscoelastic Fluid Behavior by Modifying Deviatoric Stress Tensor

Nobuhiko Mukai, Erika Matsui, Youngha Chang

2019

Abstract

One of the most challenging issues is to simulate and visualize liquid behavior, especially viscoelastic fluid, which has both characteristics of viscosity and elasticity. Although Newtonian fluid, which is represented by water, is generally analyzed with the governing equations, which are Navier-Stokes equation and equation of continuity. However, viscoelastic behavior is so complex that there is no established governing equation such as Newton’s equation of motion and Navier-Stokes equation. Some researchers employ Finite Element Method and others develop their own point based methods. In addition, there is a characteristic feature called “Spinnability” in viscoelastic fluid. That is, viscoelastic fluid is stretched so long and shows sudden shrink when the stretched fluid is broken. Then, we have been performing this spinnability simulation based on Cauchy’s equation of motion by modifying the stress term in constitutive equation. In this paper, we report the simulation results on viscoelastic fluid behavior for four kinds of deviatoric stress tensors constructing Cauchy’s equation of motion: only viscosity, only elasticity, linear combination of viscosity and elasticity, and complex modulus of elasticity.

Paper Citation

in Harvard Style

Mukai N., Matsui E. and Chang Y. (2019). Investigation on Viscoelastic Fluid Behavior by Modifying Deviatoric Stress Tensor.In Proceedings of the 9th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH, ISBN 978-989-758-381-0, pages 216-222. DOI: 10.5220/0007788702160222

in Bibtex Style

@conference{simultech19,
author={Nobuhiko Mukai and Erika Matsui and Youngha Chang},
title={Investigation on Viscoelastic Fluid Behavior by Modifying Deviatoric Stress Tensor},
booktitle={Proceedings of the 9th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,},
year={2019},
pages={216-222},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007788702160222},
isbn={978-989-758-381-0},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 9th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,
TI - Investigation on Viscoelastic Fluid Behavior by Modifying Deviatoric Stress Tensor
SN - 978-989-758-381-0
AU - Mukai N.
AU - Matsui E.
AU - Chang Y.
PY - 2019
SP - 216
EP - 222
DO - 10.5220/0007788702160222