Dilatancy modelling

Stress relaxation modulus in tube dilation models... 

What value of a corresponds to the double reptation model In Section 9.3, we have presented theoretical arguments and experimental data supporting the value a =4/3 in -solvents (and melts with ideal chain statistics). What is the expression of the stress relaxation modulus of tube dilation models corresponding to a = 4/3 ... 

Watanabe, H., Y. Matsumiya, and T. Inoue. 2002. Dielectric and viscoelastic relaxation of highly entangled star polyisoprene Quantitative test of tube dilation model. Macromolecules 35 2339-2357. 

One is the dilatancy model (Goldich and Mudrey 1972). Minerals undergo radiation damage through the alpha decay of uranium, thorium, and their daughters, and the extent... 

Students are advised that the final void ratio at critical state conditions (eoit) is independent of the initial density (whether looser or denser than ecrit)- These slides can be used as a simple starting point for other models of dilatant behaviour, such as the sawtooth dilatancy model, e.g. Houlsby (1991). 

Recall that Taylor s stress-dilatancy model is introduced under the hypothesis that only the friction term of shearing displacement due to the normal force contributes to the plastic work done, as given in (6.78). Here this is modified by considering the component of volumetric displacement as... 

N. C. Small, Continuum dilation model for creep analysis of ceramic nuclear fuels with applications, WAPD-TM-649, Bettis Atomic Power Labs., September, 1967. 

Numerous examples of polymer flow models based on generalized Newtonian behaviour are found in non-Newtonian fluid mechanics literature. Using experimental evidence the time-independent generalized Newtonian fluids are divided into three groups. These are Bingham plastics, pseudoplastic fluids and dilatant fluids. 

Dilatant fluids (also known as shear thickening fluids) show an increase in viscosity with an increase in shear rate. Such an increase in viscosity may, or may not, be accompanied by a measurable change in the volume of the fluid (Metzener and Whitlock, 1958). Power law-type rheologicaJ equations with n > 1 are usually used to model this type of fluids. 

The physics and modeling of turbulent flows are affected by combustion through the production of density variations, buoyancy effects, dilation due to heat release, molecular transport, and instabiUty (1,2,3,5,8). Consequently, the conservation equations need to be modified to take these effects into account. This modification is achieved by the use of statistical quantities in the conservation equations. For example, because of the variations and fluctuations in the density that occur in turbulent combustion flows, density weighted mean values, or Favre mean values, are used for velocity components, mass fractions, enthalpy, and temperature. The turbulent diffusion flame can also be treated in terms of a probabiUty distribution function (pdf), the shape of which is assumed to be known a priori (1). 

In the original equation of van Laar, the effective molar volume was assumed to be independent of composition this assumption implies zero volume-change of mixing at constant temperature and pressure. While this assumption is a good one for solutions of ordinary liquids at low pressures, it is poor for high-pressure solutions of gases in liquids which expand (dilate) sharply as the critical composition is approached. The dilated van Laar model therefore assumes that... 

From the dilated van Laar model, Chueh obtains two-parameter expressions for the activity coefficients. They are ... 

It is easily possible to introduce refinements into the dilated van Laar model which would further increase its accuracy for correlating activity coefficient data. However, such refinements unavoidably introduce additional adjustable parameters. Since typical experimental results of high-pressure vapor-liquid equilibria at any one temperature seldom justify more than two adjustable parameters (in addition to Henry s constant), it is probably not useful for engineering purposes to refine Chueh s model further, at least not for nonpolar or slightly polar systems. 

The dilated van Laar model is readily generalized to the multicomponent case, as discussed in detail elsewhere (C3, C4). The important technical advantage of the generalization is that it permits good estimates to be made of multicomponent phase behavior using only experimental data obtained for binary systems. For example, Fig. 14 presents a comparison of calculated and observed -factors for the methane-propane-n-pentane system at conditions close to the critical.7... 

While the dilated van Laar model gives a reliable representation of constant-pressure activity coefficients for nonpolar systems, the good agreement between calculated and experimental high-pressure phase behavior shown in Fig. 14 is primarily a result of good representation of the partial molar volumes, as discussed in Section IV. The essential part of any thermodynamic description of high-pressure vapor-liquid equilibria must depend,... 

Weekes J et al. Bovine dilated cardiomyopathy proteomic analysis of an animal model of human dilated cardiomyopathy Electrophoresis 1999 20 898-906. Doherty NS et al. Analysis of changes in acute phase plasma proteins in an acute inflammatory response and in rheumatoid arthritis using two-dimensional gel electrophoresis. Electrophoresis 1998 19 355-363. 

The dynamic surface tension of a monolayer may be defined as the response of a film in an initial state of static quasi-equilibrium to a sudden change in surface area. If the area of the film-covered interface is altered at a rapid rate, the monolayer may not readjust to its original conformation quickly enough to maintain the quasi-equilibrium surface pressure. It is for this reason that properly reported II/A isotherms for most monolayers are repeated at several compression/expansion rates. The reasons for this lag in equilibration time are complex combinations of shear and dilational viscosities, elasticity, and isothermal compressibility (Manheimer and Schechter, 1970 Margoni, 1871 Lucassen-Reynders et al., 1974). Furthermore, consideration of dynamic surface tension in insoluble monolayers assumes that the monolayer is indeed insoluble and stable throughout the perturbation if not, a myriad of contributions from monolayer collapse to monomer dissolution may complicate the situation further. Although theoretical models of dynamic surface tension effects have been presented, there have been very few attempts at experimental investigation of these time-dependent phenomena in spread monolayer films. 

Animal models have established that infections can induce autoimmune disease. For example, coxsackievirus B3 infection of susceptible strains of mice results in inflammation in the heart that resembles the myocarditis and dilated cardiomyopathy that occurs in humans.28 44 The same disease can be induced by injecting mice with cardiac myosin mixed with adjuvant, thereby reproducing the disease in the absence of virus infection, indicating that an active viral infection is not necessary for the development of autoimmune disease.9 29 44 Likewise, a number of autoimmune diseases can be... 

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