Vibrational shear flow of anisotropic viscoelastic fluid with small amplitudes
Using the constitutive equation of co-rotational derivative type for anisotropie viscoelastic fluid-liquid crystalline (LC),polymer liquids was developed. Two relaxation times are introduced in the equation: λn represents relaxation of the normal-symmetric stress components; λg represents elaxation of the shear-unsymmetric stress components. A vibrational rotating flow in gap between cylinders with small amplitudes is studied for the anisotropie viscoelastic fluid-liquid crystalline polymer. The time-dependent constitutive equation are linearized with respect to parameter of small amplitude. For the normal-symmetric part of stress tensor analytical expression of the shear stress is obtained by the constitutive equation. The complex viscosity, complex shear modulus, dynamic and imaginary viscosities, storage modulus and loss modulus are obtained for the normal-symmetric stress case which are defined by the common shear rate. For the shear-unsymmetric stress part, two shear stresses are obtained thus two complex viscosities and two complex shear modulus (i.e. first and second one) are given by the constitutive equation which are defined by rotating shear rate introduced by author. The dynamic and imaginary viscosities, storage modulus and loss modulus are given for each complex viscosities and complex shear modulus. Using the constituive equation the rotating flow with small amplitudes in gap between two coaxial cylinders is studied.
un-symmetric constitutive equation anisotropic viscoelastic fluid liquid crystalline polymer vibrational shear flow with small amplitudes
HAN Shi-fang(韩式方)
Chengdu Institute of Computer Application, Chinese Academy of Sciences, Chengdu 610041, China
国际会议
长沙
英文
29-32
2008-09-28（万方平台首次上网日期，不代表论文的发表时间）