Computational Methods for Complex Flow Fields.

Murman, Earll M.; Baron, Judson R.

doi:10.21236/ada172727

Cited by 2 publications

(4 citation statements)

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“…This corresponds to the well‐known notions that the van der Waals attraction is the dominant force in the interparticle interaction in the liquid state of matter 20 . Therefore, a viscous flow must be accompanied by overcoming the weakest forces, and in the framework of the cluster‐associate model of viscosity, this means the destruction of associates without destroying the clusters themselves, in which saturated short‐range‐order bonds act during the virtual realization of this order 21 …”

Section: Resultsmentioning

confidence: 99%

“…Overall, the article makes a valuable contribution to modeling the non-Arrhenius viscosity behavior of associated liquids, but leaves open questions about the molecular interactions governing cluster formation. 21,22 The Frenkel-Andrade model was employed to assess viscosity, an empirical formula used to determine fluidity's activation energy. This model stands out due to its ability to account for both particle dynamics and their structure, resulting in a more precise depiction of liquid transport processes like diffusion and viscosity.…”

Section: Literature Reviewmentioning

confidence: 99%

“…20 Therefore, a viscous flow must be accompanied by overcoming the weakest forces, and in the framework of the cluster-associate model of viscosity, this means the destruction of associates without destroying the clusters themselves, in which saturated short-range-order bonds act during the virtual realization of this order. 21 The degree of cluster association, which is a characteristic property of the cluster-associate viscosity model, is also informative as it correlates with the relationship between structural and T A B L E 3 Comparison of data on the viscosity of tin chloride according to ( 6) and (10).…”

Section: Relationship Of the Cluster-associative Model With The Frenk...mentioning

confidence: 99%

“…The study is also limited to only SnCl 4 ; expanding the model to other metal halide systems would be useful to test its broader applicability. Overall, the article makes a valuable contribution to modeling the non‐Arrhenius viscosity behavior of associated liquids, but leaves open questions about the molecular interactions governing cluster formation 21,22 …”

Section: Literature Reviewmentioning

confidence: 99%

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Cluster‐associate viscosity model of tin chloride in comparison with the Frenkel model

Bekbayeva,

Makasheva,

Malyshev

et al. 2023

Heat Trans

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Determining the viscosity of inorganic molten compounds like tin chloride is critically important for material processing, chemical synthesis, and energy applications. However, experimental limitations have restricted the development of accurate viscosity models. This study tests a new cluster‐associate model for predicting the viscosity of molten tin chloride across a wide temperature range. The model links viscosity to the structure and dynamics of molecular clusters in the melt. The aim of this study is to establish a correlation between viscosity and cluster formation within a liquid, using tin chloride as an example. The data were calculated using a newly developed equation based on the concept of randomized particles. The temperature range studied was from the melting point to the boiling point. To verify the accuracy of the cluster‐associate model, it was compared with the Frenkel equation using logarithmic coordinates. Simulations were performed on tin chloride, which yielded results showing a linear relationship between the degree of cluster association and the activation energy of fluidity. The proportionality coefficient reflects the activation energy associated with a single cluster. The Frenkel equation in the logarithmic coordinate scale was compared with the cluster‐associate model. The functional dependence and correspondence of these models are indicated by their high coefficient mutual correlation. The proposed viscosity model underwent testing for the entire liquid state range of the substance, and calculations confirmed its validity. This enables reliable use of the suggested model for both high‐ and low‐temperature extrapolation, including the critical point region.

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Section: Resultsmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%