Initial flow development due to Marangoni convection in a mass transfer system
A linear stability analysis is used to investigate the onset of convection in a mass transfer system due to surface tension differences. Instead of a steady linear concentration distribution as basic state we make a detailed analysis of the mass transfer due to diffusion in the initially quiescent medium and obtain a time-dependent basic concentration distribution. The critical wavenumber, at neutral stability, and the preferred wavenumber, with largest growth factor, are time dependent and both decrease in time.
steady linear concentration distribution
time-dependent basic concentration distribution
scientific article; zbMATH DE number 3932633