高分子液晶のレオロジーの数値解析 : 第3報,2階テンソル型構成方程式の評価(流体工学,流体機械)

概要

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We have evaluated numerically a second order tensor type constitutive equation which includes both a molecular shape factor and a quadratic closure approximation, by means of comparing the results with the solutions obtained from the original Doi equation without closure approximations. The second order tensor type constitutive equation can simulate three types of director behaviors such as tumbling, wagging and aligning, by setting the molecular shape factor to be smaller than its inherent value based on the molecular aspect ratio. The shear stress and the first normal stress difference determined from the tensor type constitutive equation qualitatively agree with stresses obtained from the Doi equation, for low shear rate. When shear rate is high, however, even qualitative agreement is not obtained. Therefore, the constitutive equation is applicable to slow flows or situations where a velocity field is so simple that only an orientation field is a consideration.
一般社団法人日本機械学会の論文
2005-07-25