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DYNAMICS OF POLYMERIC FLUIDS IN TRANSIENT-STATE THEORY

机译:瞬态理论中的高分子流体动力学

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Transient-state theory recently proposed has enabled us to describe the chain length de pendence of viscosity of polymeric melts from the Rouse to entangling regimes by the single equation which also takes the factor of temperature into account. On the basis of this theory, this contribution attempts to treat the effect of temperature on viscosity and provides a molecular explanation to the coefficients of M-dependence in the WLF equation, obtaining the activation energy Delta E(0) and elastic interaction parameter a for example selected. A reinterpretation from a molecular viewpoint directly leads to the common observation of the M-dependence of the glass transition temperature. The mathematical expressions are developed for diffusion coefficient D-s, showing the scaling behavior for special cases as M(-1) and M(-2,4) below and above the entanglement coupling mass M(e), respectively. Any deviation from the scaling can be accounted by the quantum confinement effect a. The terminal relaxation time tau(D) behaves in the same way as eta above the onset of entanglement. It is found that both D-s and tau(D) scale on temperature in the way analogous to the WLF correlation. In addition, an expression for Young's modulus is presented by a molecular deduction. The predictions are in consistence with existing experimental data via the adjustment of a which can correlate more findings difficult to be accommodated into conventional theories. (C) 1996 John Wiley & Sons, Inc. [References: 13]
机译:最近提出的瞬态理论使我们能够通过单个方程式来描述从Rouse到纠缠态的聚合物熔体粘度的链长依赖性,该方程还考虑了温度因素。在此理论的基础上,该贡献试图处理温度对粘度的影响,并为WLF方程中的M依赖性系数提供分子解释,从而获得活化能Delta E(0)和弹性相互作用参数a。选择的示例。从分子观点重新解释直接导致人们普遍观察到玻璃化转变温度的M依赖性。建立了扩散系数D-s的数学表达式,分别表示了在特殊情况下的纠缠耦合质量M(e)之下和之上的M(-1)和M(-2,4)的缩放行为。量子限制效应a可以解释与标度的任何偏差。最终弛豫时间tau(D)的行为与缠结开始时的η相同。发现D-s和tau(D)都以类似于WLF相关的方式在温度上缩放。另外,通过分子推导来表示杨氏模量。通过调整,预测值与现有的实验数据一致,可以将更多难以发现的发现与常规理论联系起来。 (C)1996 John Wiley&Sons,Inc. [参考:13]

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