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Rheological properties of reactive polymer melts.

Authors:	Z Kembłowski J Torzecki

Institution:	(1) Institute of Chemical Engineering, Lód Technical University, ul. Wólczaska 175, PL-90-924 ód, Poland

Abstract:	A new method for describing the rheological properties of reactive polymer melts, which was presented in an earlier paper, is developed in more detail. In particular, a detailed derivation of the equation of a first-order rheometrical flow surface is given and a procedure for determining parameters and functions occurring in this equation is proposed. The experimental verification of the presented approach was carried out using our data for polyamide-6.Notation E Dimensionless reduced viscosity, eq. (34) - E ₀ Newtonian asymptote of the function (36) - E power-law asymptote of the function (36) - E _{= 1} the value ofE at = 1 - k degradation reaction rate constant, s^–1 - k ₁ rate constant of function (t), eq. (26), s^–1 - k ₂ rate constant of function (t), eq. (29), s^–1 - K(t) residence-time-dependent consistency factor, eq. (22) - M _w weight-average molecular weight - M _x x-th moment of the molecular weight distribution - R gas constant - S _x M _x/M _w - t residence time in molten state, s - t _j thej-th value oft, s - T temperature, K - % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xd9vqpe0x% c9q8qqaqFn0dXdir-xcvk9pIe9q8qqaq-xir-f0-yqaqVeLsFr0-vr% 0-vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaaieGaceWFZo% Gbaiaaaaa!3B4E!\\dot \gamma \] shear rate, s^–1 - $\dot \gamma _i$ _i thei-th value of $\dot \gamma$ , s^–1 - $\dot \gamma _{r = 1}$ _r=1 the value of $\dot \gamma$ at = 1, s^–1 - $\dot \gamma ^$ ^ reduced shear rate, eq. (44), s^–1 - dimensionless reduced shear rate, eq. (35) - viscosity, Pa · s - $\eta (\dot \gamma ,t)$ shear-rate and residence-time dependent viscosity, Pa · s - $\eta _{\dot \gamma \to 0} (t)$ zero-shear-rate degradation curve - $\eta _{\dot \gamma _1 } (t)$ degradation curve at $\dot \gamma _i$ - _{t0 (t)} zero-residence-time flow curve - $\eta _{t \to 0} (\dot \gamma ,t)$ Newtonian asymptote of the RFS - $\eta _{t_j } (\dot \gamma )$ instantaneous flow curve - $\eta _{\dot \gamma \to \infty } (\dot \gamma ,t)$ power-law asymptote of the RFS - _0,0 zero-shear-rate and zero-residence-time viscosity, Pa · s - _E=1 value of viscosity atE=1, Pa · s - ^* reduced viscosity, eq. (43), Pa · s - zero-residence-time rheological time constant, s - density, kg/m³ - (t),(t) residence time functions

Keywords:	Reactive polymer melt rheometrical flow surface polyamide-6
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