A correlation between the equation of state and the temperature dependence of viscosity η in polymers such as polystyrene, polyisobutylene and polybutadiene, in melt and simple and oligomeric liquids such as argon, methane and n-hydrocarbons C 5C 64, and pressure dependence of η in polymer polymethyl methacrylate and simple liquids such as carbon dioxide, water and n-pentane, has been examined on the basis of the experimental data published by Fox and Flory 18,19, Colby, Fetters and Graessley 23, and Herrmann and Knappe 52 for polymers and Bridgman 3, Hubbard and Brown 32 for simple and oligomeric liquids. An expression of η obtained is given by ln η = A 0(M) + B 0{T c − T) T} n 0 + C(T)(P + P 0(T)) m 0(T) where A 0( M) is a function of molecular weight, T c is the critical temperature, C( T), P 0( T) and m 0( T) are functions of temperature, B 0 and n 0 are constants, which are determined from the experimental data of η over the wide range of temperature, including the critical region, and pressure up to 1.2 × 10 4 kgf/cm 2 for simple liquids and water up to 8 × 10 3 kgf/cm 2. The molecular weight dependence of η at constant temperature and pressure is also examined over the wide range of molecular weight 10 < M w < 10 6 g/mol and is expressed by ln η = A ∗ + a i ln M w for polymers ( i = 1) and simple liquids ( i = 0) with a 0 = 0.5 for simple liquids and a 1 = 1.0 for polymers except for high molecular weight polymers with a 1 = 3.4 where A ∗ is a constant around −11.0. The weak divergence of η in the vicinity of T c observed in simple liquids, such as carbon dioxide, has been discussed through the correlation between the P- η −1- T relation and the P- V- T relation for simple liquid in the critical region. Comparison between the WLF equation and the equation obtained in this work has been made based on the experimental data of η for a glass-forming liquid.
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