[논문]점탄성 고분자 액체의 대진폭 전단유동거동 예측을 위한 간단한 해석방법

장갑식; 안혜진; 송기원

doi:10.12772/tse.2015.52.159

점탄성 고분자 액체의 대진폭 전단유동거동 예측을 위한 간단한 해석방법
A Simple Analysis Method to Predict the Large Amplitude Oscillatory Shear (LAOS) Flow Behavior of Viscoelastic Polymer Liquids

한국섬유공학회지 = Textile science and engineering, v.52 no.3, 2015년, pp.159 - 166

장갑식 (FITI시험연구원 신뢰성평가팀) , 안혜진 (부산대학교 공과대학 유기소재시스템공학과) , 송기원 (부산대학교 공과대학 유기소재시스템공학과)

Abstract ▼ AI-Helper

Using an Advanced Rheometric Expansion System (ARES), the dynamic viscoelastic behavior of aqueous poly(ethylene oxide) (PEO) solutions with various molecular weights and different concentrations has been investigated in large amplitude oscillatory shear (LAOS) flow fields over a wide range of strain amplitudes. In order to predict the nonlinear viscoelastic behavior of polymer liquids in strain-sweep experiments, a new analysis method including a simple empirical model was proposed and then its validity was thoroughly evaluated in this study. The results have shown that the suggested model is significant in 95% confidence level and predicts exactly the nonlinear viscoelastic behavior of polymer liquids over a whole range of strain amplitudes tested. The strain limits of linear viscoelastic response and nonlinear behavior indices were determined using this model to estimate the LAOS flow behavior in strain-sweep experiments. The master curves of strain limits and nonlinear behavior indices can be obtained by representing these data against the product of angular frequency by characteristic time. The LAOS flow behavior of polymer systems with various molecular weights and different concentrations can well be predicted from these master curves.

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제안 방법

5, 1, 5, and 10 rad/s. Each measurement was performed by placing a film of silicone oil at the sample free surface to reduce an evaporation effect during the test.
The solution was taken to be completely homogeneous when the steady shear viscosity varies less than 1% over a threeday period. Further periodic monitoring of the solutions was performed to check for degradation. It was observed that the solutions remain stable for approximately 4 weeks and hence all experiments were conducted during this period.
Using an ARES, the dynamic viscoelastic behavior of aqueous PEO solutions with various molecular weights and different concentrations has been investigated in LAOS flow fields over a wide range of strain amplitudes. In this study, a new analysis method including a simple empirical model was proposed to predict the LAOS flow behavior of concentrated polymer systems in strain-sweep experiments. It was found that a new analysis method is very useful to estimate the LAOS flow behavior of viscoelastic polymer solutions with various molecular weights and different concentrations and that an empirical model suggested in this work is significant in 95% confidence level, and consequently predicts exactly the nonlinear viscoelastic behavior of polymeric liquids.

대상 데이터

The polymers selected in this study were poly(ethylene oxide) (PEO) supplied from the Sigma-Aldrich Chemical Co. (USA). Distilled water was used as a solvent for PEO to prepare the sample polymer solutions with different concentrations.

이론/모형

The master curves could be obtained by plotting these data against the product of angular frequency by characteristic time of the polymer solutions. The characteristic times were determined by the following equation derived from the FENE(finitely extensible nonlinear elastic) dumbbell model [38].
derived from equations (1) and (2) express the slopes of storage modulus and dynamic viscosity, respectively, in a nonlinear region. Therefore, the values of n_E and n_V determined from the empirical models proposed in this study can be used as the elastic and viscous nonlinear behavior indices representing the degree of nonlinear viscoelasticity. If the degree of nonlinearity is increased, the nonlinear behavior index will also be increased.

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