Authors:
Nobuhiko Mukai
;
Erika Matsui
and
Youngha Chang
Affiliation:
Computer Science, Tokyo City University, 1-28-1 Tamazutsumi, Setagaya, Tokyo and Japan
Keyword(s):
Particle Method, Viscoelastic Fluid, Spinnability, Cauchy’s Equation of Motion, Deviatoric Stress.
Related
Ontology
Subjects/Areas/Topics:
Complex Systems Modeling and Simulation
;
Computer Simulation Techniques
;
Fluid Dynamics
;
Simulation and Modeling
;
Simulation Tools and Platforms
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.
(More)