Rheological properties of dilute polymer solutions: An extended thermodynamic approach

Lebon, Georgy; Dauby, Pierre; Palumbo, Annunziata; Valenti, Giovanna

doi:10.1007/bf01332379

Cited by 16 publications

(7 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Viscosity is shear-dependent, or stress is not directly proportional to the deformation. Rheological models for both linear viscoelasticity and nonlinear generalized Newtonian fluids can also be derived [5,163,164,200,201,[211][212][213][214][215][216], as we have pointed out in Section 5.1., by specializing the evolution equations of EIT. We proceed to give concrete cases.…”

Section: Special Cases: Theological Modelsmentioning

confidence: 99%

“…The internal energy of a solution of elastic dumbbells is not the same in equilibrium as in shear. The rheological models for polymer solutions [5, 164,200,201,[215][216][217][218][219] assume that the roles of solvent and polymer can be separated. The viscous pressure tensor is decomposed [218,219] into two parts P* = P 0 + P p (143) where subscripts "o" and "p" denote the contribution of the solvent and polymer, respectively.…”

Section: B Polymer Solutionsmentioning

confidence: 99%

“…36-37c) takes the form [5, [214][215][216] Χ=-α ι Ρ ν -α 2 (Ρ υ ·Ρ"-π ν δ) (148) where n v = (1/3)P V :P V ; a v and a 2 are functions of u and the invariants of P v . The entropy principle requires that a l >0 and restricts dependence of a l and a 2 on the invariants.…”

Section: Non-linear Modelsmentioning

confidence: 99%

See 2 more Smart Citations

Review Article

1995

Journal of Non-Equilibrium Thermodynamics

View full text Add to dashboard Cite

The transport processes to be taken up here are heat conduction and diffusion plus dielectric relaxation and electrical conduction. The first two are clearly coupled, since 1 The sections of this second part are numbered consecutively to those of the first part/published in Vol. 20, Issue 3, Pages 205-229, Similarly, new bibliographical references start with reference 100, the first 99 references being listed at the end of Part 1.Brought to you by | Purdue University Libraries Authenticated Download Date | 6/10/15 12:58 AM 298 R-E. Neftleton, S. L. Sobolev diffusing molecules can carry energy, and they are often treated together in the same formalism, which would make it difficult not to combine them in a single section. Since the polarization current is a component of the total current, relaxation of electric polarization and of the current of free charges are usually treated together. We add a third sub-section on superfluidity. Applications of the phenomenology of vector processes fall into four classes: (1) Use of reciprocity in calculating linear transport coefficients from models. (2) Non-linear effects in heat conduction and diffusion. (3) temperature and polarization waves. (4) correlation functions. Category (1) is old, since molecular models have given way to molecular dynamics, and effects in (2) are small. Papers on (3) and (4) have tended to give more attention to formulating the theory than to predictions tested against experiment. Heat conduction and diffusionThe earliest extended thermodynamic treatment [100] of thermal conduction was designed to fit the Cattaneo-Vernotte equation (24) into the scheme of de Groot [12], discussed in Part I, Section 2.2. The phenomenological coefficients were evaluated with the aid of a phonon model of Debye. This work was extended by coupling the phonon component of heat flow to a self-diffusion component [101] and to a binary diffusion flow [102]. The first of these extensions was designed to estimate numerically the coefficient of (Vp) 2 in the free energy density, which was earlier exploited by Cahn and Hilliard [103] to calculate the density profile across a liquid-vapour phase boundary. The extended treatment of binary diffusion [102] led to a formal expression for the thermal diffusion coefficient, but not a numerical value. These papers show how Onsager reciprocity can be exploited, in conjuction with molecular models, in calculating transport coefficients. The models are now old, but the formalism formed the basis of more recent studies, discussed below, of non-linear heat and matter transport. A substantial number of contemporary studies incorporate both heat flow J and viscous pressure P v . Most of these will be discussed in Section 5 on viscoelasticity.

show abstract

Section: Special Cases: Theological Modelsmentioning

confidence: 99%

Section: B Polymer Solutionsmentioning

confidence: 99%

See 1 more Smart Citation

Review Article

1995

Journal of Non-Equilibrium Thermodynamics

View full text Add to dashboard Cite

show abstract

“…In order to fulfil the objectivity requirement, the coefficient C has to be taken constant while E must be zero : otherwise Juk,k and consequently the r.h.s, of (3. has been shown to account in a fairly good way for the steady and oscillatory sheafing flows if it is admitted that x, ~q and a are power-laws of the invariants of Pi~ [14]. Comparison between experimental data and the present model is reported on figures 1 and 2 for a 2.5%…”

Section: Extended Thermodynamics Of Second-order Non-newtonian Fluidsmentioning

confidence: 79%

“…In figure 2, the material functions r I' (dynamic viscosity) and G' (storage modulus) are represented as a function of the oscillations frequency 0~. The solid lines represent the theoretical predictions; results corresponding to other materials can be found in [14]. …”

Section: Extended Thermodynamics Of Second-order Non-newtonian Fluidsmentioning

confidence: 98%