Theory of Transport in Liquid Metals: Calculation of Dynamic Viscosity

A random-walk shielding-potential viscosity model for warm dense metals

“…This phenomenon has been illustrated in Ref. 32 and our previous work 23 . In warm dense range, the viscosities increase with increasing temperatures.…”

Hard-wall potential function for transport properties of alkali metal vapors

“…It is well-known that transport properties, especially viscosity, can be determined principally by the repulsion wall of the potential function. In particular, it has been demonstrated that the hard-sphere model with the packing density η m = 0.48 at the melting temperature reproduces well the viscosity of (almost all) melts in which the metallic bond predominates 22 . From this view, in this work, initially we have used LJ(12-6) potential function for prediction of transport properties of K, Rb, and Cs metals vapor but it failed having good agreement with experiment especially in the low temperature range.…”

“…Most theoretical investigations for thermophysical properties have shown that transport properties are sensitive to the steepness of the repulsion wall of the potential function 22 . On the other hand the equilibrium thermodynamic properties are sensitive to the asymptotic form of the potential function at long distance.…”

“…No special procedure is available for such calculation and usually comes as the method imposed by other hard-core systems 21 . The viscosity of liquid metals was investigated in a wide temperature range using the model potential of interatomic interaction within the Enskog-Dymond transport theory developed for a dense hard sphere 22 .…”

Ultrasound cavitation induced nucleation in metal solidification: An analytical model and validation by real-time experiments

“…(2) is the activation energy for an atom diffusing across the liquid–solid interface, which is written as where V is the molar volume of the liquid; N is the Avogadro constant; η is the absolute viscosity, which obeys the Arrhenius equation [31] : where η 0 is a pre-potential viscosity factor; Q a and ΔV a are the activation energy and the activation volume, respectively. However, since the measured data for these parameters have not been seen reported for the Al-18 wt% Cu melt, The fitted data from pure aluminum melt in [32] were used in Eq. (11) for approximation.…”