A Hidden Anomaly in the Binary Mixture Natural Convection Subject to Flux Boundary Conditions

The problem of natural convection in a binary mixture subject to realistic boundary conditions of imposed zero mass flux on the solid walls shows solutions that might lead to unrealistic negative values of the mass fraction (or solute concentration). This anomaly is being investigated in this paper,...

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Bibliographic Details
Published inPhysics (Online) Vol. 3; no. 1; pp. 144 - 159
Main Author Vadasz, Peter
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.03.2021
Subjects
Approximation
Binary mixtures
Boundary conditions
Free convection
Heat
natural convection
Soret effect
Temperature
thermodiffusion
thermophoresis
thermosolutal
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Summary:The problem of natural convection in a binary mixture subject to realistic boundary conditions of imposed zero mass flux on the solid walls shows solutions that might lead to unrealistic negative values of the mass fraction (or solute concentration). This anomaly is being investigated in this paper, and a possible way of addressing it is suggested via a mass-fraction-dependent thermodiffusion coefficient that can have negative values in regions of low mass fractions.
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ISSN:2624-8174
2624-8174
DOI:10.3390/physics3010012