Numerical simulation of liquid crystalline polymer flow into two-dimensional thin cavity moulds

作者：Sun Jianye^*

来源：International Journal for Numerical Methods in Fluids, 2009, 59(6): 593-609.

DOI：10.1002/fld.1833

• partial differential equations
• finite-difference methods
• boundary-fitted mapping
• liquid crystal polymer flow
• Navier-Stokes
• non-Newtonian

In this paper, flows of liquid crystalline polymers into two-dimensional thin cavity moulds are simulated. The flows are modelled by Ericksen-Leslie equations of motion in the high viscosity limit. An elliptic pressure equation is derived under Hele-Shaw approximations, and the non-isothermal natures of the flow are modelled. The equations are solved using the finite-difference technique. A new boundary-mapping technique is developed in this study to solve the difficulty in the finite-difference treatment of arbitrarily shaped boundaries, which possess no natural coordinate system. This new method avoids the difficult mesh control in the body-fitted mapping process and makes the mapping process easy to implement. It can also solve the problems caused by the uneven distribution of grid nodes in the traditional body-fitted mapping technique.

• 出版日期2009-2-28
• 单位哈尔滨学院