WebFree-volume theory presumes that this extra volume is avail-able to facilitate mass transport in the glassy state. Based on this concept, the original free-volume theory was adapted to describe the diffusion of a trace amount of a solvent in a glassy polymer,7,8 and it was further extended to describe WebDec 23, 2015 · Fractional free volume (FFV) is an empirical dimensionless parameter that characterizes free volume in polymers. FFV can be defined as the ratio V f /V sp, where V f (cm 3 /g) is the free volume andV sp (cm 3 /g) is the specific volume of the polymer, the latter parameter being the reciprocal density ρ. The value of V f can be calculated using …
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WebOct 8, 2024 · Robert F. Landel. John D. Ferry. View. The Mathematical Theory of Non-Uniform Gases. An Account of the Kinetic Theory of Viscosity, Thermal Conduction, and Diffusion in Gases. Article. Feb 1954. Web4 Fig. 2 Schematic average free volume model for the liquids.rw is van der Waals radius.rv is the radius of the larger sphere. d is distance between the two particles.rd is half of d. The correlation between C1, VE0 and Vw can be explained by a schematic average free volume model displayed in figure 2. The molecules are simplified as spheres. marshall tucker band ramblin man
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WebOct 1, 2024 · The free volume theory [35] was used to model the water concentration dependency of the Maxwell-Stefan diffusion coefficient D wp of water in the polymer via the free volume V f which is the ... WebOct 19, 2009 · This paper reviews the most widely used models for explaining how plasticizers render PVC flexible. These models include the gel, lubricity, and free volume theories; kinetic theories; and mathematical models which predict on the basis of plasticizer structure how much a plasticizer will lower the polymer glass transition in a flexible PVC … WebDec 13, 2024 · Moreover, the free volume theory provides insight into the effects of temperature and pressure on liquids. For instance, although the thermal expansion coefficients of PDMS base oils are larger than those of PAO base oils, the temperature effect of PDMS base oils is still much smaller than that of PAO base oils (Fig. 6 ) due to … marshall tucker band schedule 2022