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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Abbreviations
- E :
-
Dimensionless reduced viscosity, eq. (34)
- E 0 :
-
“Newtonian” asymptote of the function (36)
- E ∞ :
-
“power-law” asymptote of the function (36)
- E Г = 1 :
-
the value ofE atГ = 1
- k :
-
degradation reaction rate constant, s−1
- k 1 :
-
rate constant of functionϕ (t), eq. (26), s−1
- k 2 :
-
rate constant of functionψ (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\(\dot \gamma\) atГ = 1, s−1
- \(\dot \gamma ^*\) * :
-
reduced shear rate, eq. (44), s−1
- Г :
-
dimensionless reduced shear rate, eq. (35)
- η :
-
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\(\dot \gamma _i\)
- η t→0 (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
- η 0,0 :
-
zero-shear-rate and zero-residence-time viscosity, Pa · s
- η E=1 :
-
value of viscosity atE=1, Pa · s
- η * :
-
reduced viscosity, eq. (43), Pa · s
- Λ :
-
zero-residence-time rheological time constant, s
- ϱ :
-
density, kg/m3
- ϕ(t),ψ(t):
-
residence time functions
References
Kembłowski Z, Torzecki J (1983) Rheol Acta 22:34
Reimschuessel HK (1977) J Polym Sci, Macromol Rev 12:65
Kembłowski Z, Torzecki J (1983) Rheol Acta 22:186
Kumar NG (1980) J Polym Sci, Macromol Rev 15:255
Rouse PE (1953) J Chem Phys 21:1272
Bueche F (1954) J Chem Phys 22:1570
Greassley WW (1974) Adv Polym Sci 16:1
Bueche F, Harding SW (1958) J Polym Sci 32:177
Cross MM (1969) J Appl Polym Sci 13:765
Carreau JP (1972) Trans Soc Rheol 16:99
Mathes A (1943) J Pract Chem 162:245
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kembłowski, Z., Torzecki, J. Rheological properties of reactive polymer melts.. Rheol Acta 25, 110–118 (1986). https://doi.org/10.1007/BF01332130
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01332130