Thermal conductivity of binary liquid mixtures

Thermal Conductivities of Liquid Hydrocarbons and Their Binary Mixtures

“…According to Lennard-Jones and Devonshire, under this condition, the potential energy of the cell may be written in terms of the displacement r from equilibrium as (Hirschfelder et al, 1967) frequency of molecular vibration, n is the number of molecules per unit area, NA is Avogadro's number, and l is the distance between crystal lattice planes normal to the energy gradient. By using eq 5, Saksena and Harminder (1974) calculated the thermal conductivities of liquid mixtures. In their studies, the constant-volume heat capacity per molecule was taken as 3k where k is Boltzmann's constant.…”

“…Although several calculation methods for thermal conductivities of liquids and their mixtures have been published by several investigators (Filippov, 1955;Jamieson and Hastings, 1969;Li, 1976; Losenicky, 1968), they are essentially empirical. Semitheoretical approaches based on the molecular model of Horrocks and McLaughlin (1960) have also been reported by Gaitonde et al (1978) and Saksena and Harminder (1974). However, they are not sufficient for extending the model to mixtures.…”

Thermodynamics and Kinetics of Direct Synthesis of Solar Grade Silicon from Metallurgical Silicon Wafer by Liquid Phase Migration in Solid Silicon

“…Here, ε is the emissivity of solid Si (ε Si = 0.65 56) ), σ is the Stefan-Boltzmann constant (5.7 × 10 −8 W•m −2 •K −4 ), T is the temperature at the bottom surface of the sample, k s (or k l ) and G s (or G l ) are the thermal conductivity and temperature gradient in the solid Si (or liquid phase), respectively. k l was obtained from a model for a binary system 57) using the thermal conductivities of the pure components 58,59) and their molar volumes 60) . In some samples, the temperature gradient was decreased by coating the bottom surface of the Si plate with Al 2 O 3 (ε Al2O3 = 0.40 61) ) to change the radiation.…”

The Thermal Conductivity of Liquid Mixtures

“…The McLaughlin equation was chosen in preference to the Venart equation because although it was originally proposed on heuristic considerations, its form has been recently justified by Saksena and Harminder (1974) using the quasi-lattice theory of liquids. On the other hand, the form of the Venart equation, which is based on an assumed similarity with the variation with composition of the viscosity of liquid mixtures, is difficult to justify in view of the significant differences between the mechanisms of viscosity and of heat conduction.…”