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- W4242683721 abstract "In this thesis we studied the stability of a binary liquid film flowing down a heated porous inclined plate. It is assumed that the heating induces concentration differences in the liquid mixture (Soret effect), which together with the differences in temperature affects the surface tension. A mathematical model is constructed by coupling the Navier- tokes equations governing the flow with equations for the concentration and temperature. The effect of substrate permeability is incorporated by applying a specific slip condition at the bottom of the liquid layer. We carry out a linear stability analysis in order to obtain the critical conditions for the onset of instability. We used a Chebyshev spectral collocation method to obtain numerical solutions to the resulting Orr-Sommerfeld type equations. We also obtained an asymptotic solution which yielded an expression for the state of neutral stability of long perturbations as a function of the parameters controlling the problem. We present our findings by illustrating and interpreting our results for the critical Reynolds number for instability." @default.
- W4242683721 created "2022-05-12" @default.
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- W4242683721 date "2021-05-22" @default.
- W4242683721 modified "2023-09-27" @default.
- W4242683721 title "Instability of a binary liquid film flowing down a slippery inclined heated plate" @default.
- W4242683721 doi "https://doi.org/10.32920/ryerson.14646951" @default.
- W4242683721 hasPublicationYear "2021" @default.
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