2022
DOI: 10.1007/s10765-022-03125-7
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Thermal Conductivity of Liquid Mixtures: Model of the Dependence on Concentration

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Cited by 3 publications
(1 citation statement)
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“…These 1–2 interactions introduce additional thermal resistances in the heat conduction, which are dependent on the composition for a given temperature. Attempting to interpret the thermal composition variation with compositions in binary liquid mixtures, Melkikh and Skripov (2023) proposed recently the Filaments Model, where the thermal conductivity of liquid mixtures dependence on concentration was constructed on the base of a connection in a series of the existing thermal resistances, the pure component thermal conductivities, λ1* and λ 2 *, the mass fractions of the components in the mixtures, w 1 and w 2 = 1 – w 1 , and a parameter γ, dependent on the mass ratio of the two components, m 1 and m 2 . In their model, the thermal conductivity of the mixture, λ, is given by eq λ = λ 1 λ 2 w 1 λ 2 + ( 1 w 1 ) λ 1 where λ 1 and λ 2 are the values of the pure components, corrected by the presence of the other component (in essence correcting the interactions/thermal resistances by the presence of the different components of the mixture), given by eq .25ex2ex λ 1 = λ 1 * [ w 1 + false( 1 w 1 false) γ ] λ 2 = λ 2 * [ false( 1 w 1 false) + w 1 γ ] …”
Section: Resultsmentioning
confidence: 99%
“…These 1–2 interactions introduce additional thermal resistances in the heat conduction, which are dependent on the composition for a given temperature. Attempting to interpret the thermal composition variation with compositions in binary liquid mixtures, Melkikh and Skripov (2023) proposed recently the Filaments Model, where the thermal conductivity of liquid mixtures dependence on concentration was constructed on the base of a connection in a series of the existing thermal resistances, the pure component thermal conductivities, λ1* and λ 2 *, the mass fractions of the components in the mixtures, w 1 and w 2 = 1 – w 1 , and a parameter γ, dependent on the mass ratio of the two components, m 1 and m 2 . In their model, the thermal conductivity of the mixture, λ, is given by eq λ = λ 1 λ 2 w 1 λ 2 + ( 1 w 1 ) λ 1 where λ 1 and λ 2 are the values of the pure components, corrected by the presence of the other component (in essence correcting the interactions/thermal resistances by the presence of the different components of the mixture), given by eq .25ex2ex λ 1 = λ 1 * [ w 1 + false( 1 w 1 false) γ ] λ 2 = λ 2 * [ false( 1 w 1 false) + w 1 γ ] …”
Section: Resultsmentioning
confidence: 99%