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- W3183352276 abstract "Derived in this paper are evolution equations for the thickness and surface surfactant concentration pertaining to a thin liquid layer that is laden with a soluble surfactant as it flows under the influence of gravity down a heated incline. These equations account for variations in surface tension with surfactant concentration and temperature. A linear stability analysis and numerical simulations are carried out and discussed. An expression for the critical Reynolds number has been obtained and includes both thermocapillary and solutocapillary effects. The linear stability analysis was found to be in harmony with the nonlinear numerical simulations. A comparison with a weighted residual model also revealed good agreement. • A simplified model for heated inclined flow contaminated with surfactant. • Threshold for instability in agreement with prediction from full equations. • Nonlinear stability analysis by means of numerical simulations." @default.
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- W3183352276 date "2021-11-01" @default.
- W3183352276 modified "2023-09-26" @default.
- W3183352276 title "Long-wave instability in thin heated films doped with soluble surfactants" @default.
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- W3183352276 doi "https://doi.org/10.1016/j.ijnonlinmec.2021.103784" @default.
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