Method for simulating high-viscosity fluid

摘要

A computerized method for simulating a high-viscosity fluid in a chamber is disclosed, wherein a model of the fluid is set in a model of the chamber and a flow calculation is performed. In the flow calculation, with respect to a contact surface of a wall of the chamber model with which the fluid model contacts, a slip velocity of the fluid model is defined by specific equations.

主权项

1. A computer-implemented method for simulating a flow of a high-viscosity fluid in a chamber, comprising steps of:
defining a chamber model of the chamber which is a kneading space defined between a casing and a rotor rotatable disposed in the casing, wherein the shape of the chamber model is varied according to the rotation of the rotor, defining a fluid material model of the fluid which is a plastic material, defining physical properties of the plastic material on the fluid material model, wherein the physical properties include at least a shear viscosity, setting the fluid material model in the chamber model, defining conditions for carrying out a flow calculation of the fluid material model, wherein the conditions include flow velocity boundary conditions on the wall surface of the chamber model, which include a wall-surface slip condition, which is defined on a contact part of the wall surface with which the fluid material model contacts so that the fluid material model has a slip velocity “vslip” in the contact part during the flow calculation, wherein the slip velocity “vslip” is a velocity of the fluid material model in a direction parallel with the contact surface and defined by the following conditional expression (a)
vslip =α·vt+(1−α)·vwall   (a) wherein “vt” is a component of the velocity of the fluid material model in a direction parallel with the contact surface at a position spaced apart from the contact surface by a distance “dwall” normally thereto, “vwall” is a component of a velocity of the contact surface in a direction parallel with the contact surface, and “α” is a slip ratio as a variable from 0 to 1 defined so as to satisfy the following conditional expression (b) or alternatively (c)
α/(1−α)=μ/(dwall·Fslip)  (b)α/(1−α)=μ/{(dwall·Fslip|vslip−vwall|eslip −1}  (c) wherein “μ” is the viscosity of the fluid material model, “Fslip” is an invariable, and “eslip” is an invariable, and performing the flow calculation to obtain a flow state of the fluid material model due to the variation of the shape of the chamber model, and displaying the flow states of the fluid material model.