網目構造の非ニュートン粘性 : 高分子液体の流動性

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概要

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• the investigations about the steady shear viscosity of non-Newtonian flow in concentrated polymer solutions have been reported by porter et al. and Ozaki et al. Log viscosity versus log molecular weight relations obtained by Porter et al. and by Ozaki et al, are those at constant shear stresses and at constant rated of shear, respectively. In the results obtained by Porter et al., the slope of log η"log M relation becomes smaller as the shear stress increases in the region of molecular weight higher than a critical value M_c as is shown in Fig. 1. On the other hand, the sloped of log η"log M relation obtained by Ozaki et al. are 3.4 in the region of molecular weight lower than a second critical value M'_c(>M_c) which depends on shear rate γ_0 and<3.4 (nearly 2) in the region of molecular weight higher than M'_c as is shown in Fig. 2. Since the concentrated polymer solution spreads a network structure crosslinked temporarily by the entanglement of polymer molecules, it is desirable to make clear the viscosity versus molecular weight relations by making use of the theory of network structure. In § 2 the linear theory of viscoelasticity of network structure is reported in a reformed formalism. When we consider a polymer molecule in the network structure, the aggregation of the remaining molecules could be considered to be a sort of viscoelastic medium. When a part of polymer molecule between the adjacent crosslinkages termed chain, a chain in a molecule has the viscoelastic effects on other chains in the same molecule through the viscoelastic medium, so that the system corresponds to a model composed of interacting Rouse model. The viscoelastic interactions between the chains in a, molecule. though they seems intra-molecular interactions, are due to the average inter-molecular interactions induced by the motion of the viscoelastic medium. By using the above model we obtain the slip equation (2.17) and the stress (2.2'), where <γ_1> and <D_1> contained in τ_1 are viscous and elastic effects in the i-th normal coordinate and are given by (2.19). For continuous distribution of relaxation times, the slip equation and the stress are written as (2.21), which are the expressions in the linear theory.

• 社団法人日本材料学会の論文
• 1964-05-15

著者

• 林 静男

  群馬大学学芸学部

関連論文

• 網目構造の力学的および熱力学的性質
• 尺度解析に関する一考察
• 網目構造の非ニュートン粘性 : 高分子液体の流動性
• Temporarily Crosslinked Polymersの緩和スペクトルと定常粘性 : 箱形スペクトルとM^則の導出 : 高分子のレオロジー
• 網目構造の粘弾性 : 高分子レオロジー
• 伸張による繊維弾性の発生
• 高分子粘弾性における箱型スペクトルとM3.4則をめぐって

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