Polymer Physics
The molecular dynamics theories need to make a proper combination to describe the rheological behaviors of polymer melt in vario ...
Fig. 7.7 (a) Viscosity versus shear rate curve of polypropylene (melting index 8 g/10 min under 2.16 Kg and 230C) at 230C, and ...
convective constraint release in the bulk phase, inducing disentanglement. There- fore, the motion of single polymer coils in sh ...
wherevxis the flow rate on the direction ofx. Assuming that the strain happens homogeneously, the frictional drag force on the f ...
corresponds to a critical molecular weight for extensional deformation of polymer coils. In the bulk polymer phase, such a criti ...
saturation of chain deformation, similar to the second Newtonian-fluid region in shear flow. The extensional-thinning phenomenon ...
7.3 Viscoelastic Phenomena of Polymer Flow In shear flows, polymer melt experiences significant elastic deformations, and the no ...
Weissenberg effect (rod-climbing effect) When a spinning rod stirs a cup of Newtonian fluid, for example, water, a sunk- curva ...
Tubeless siphon The siphon phenomenon is normally conducted by a tube. Polymer melt can suck the liquid into the tube even if ...
Flow instability and stick-slip transition With the increase of flow velocity, polymer melt extruded in the tube will become u ...
Dealy DM (2010) Weissenberg and Deborah numbers—their definition and use. Rheol Bull 79:14–18 Doi M, Edwards SF (1986) The theor ...
Part III Chain Assembly ...
Chapter 8 Statistical Thermodynamics of Polymer Solutions 8.1 Polymer-Based Multi-Component Systems Polymer-based multi-componen ...
Polymer solutions display a typical phase diagram as illustrated in Fig.8.1a, which exhibits a highest critical phase separation ...
phase separation behaviors of polymer solutions, releasing the first stage of cohesive energy of crystalline molecules by puttin ...
in the lattice space. It reflects the fact of volume exclusion between molecules. Such a model facilitates the calculation of th ...
and the total solution volume is N¼N 1 þrN 2 (8.2) Note that the actual size difference between the chain unit and the solvent c ...
In order to calculate the system free energy, the statistical thermodynamics needs to account for all the possible spatial arran ...
Let us firstly pickjchains from the fully ordered initial state, and randomly put them into the lattice space with a volumeN, wi ...
He directly obtained Pij¼ Nvoidvoid Nvoid ¼ 1 rjþi N (8.8) Also in 1942, Huggins considered the doubly vacant case in the tot ...
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