Fronts described by the Kuramoto–Sivashinsky equation under surface tension driven flow
- 3 Downloads
We study chemical reaction fronts described by the Kuramoto–Sivashinsky equation coupled to surface tension driven flow. We consider the front as a thin interface separating reacted from unreacted fluids inside a two-dimensional fluid layer. The top surface of the layer is open to the atmosphere. Fluid motion is caused by surface tension gradients across the reaction front. We use the equations describing Stokes flow to model the fluid motion inside the fluid layer. We apply a linear stability analysis to determine the stability of the steady front solutions. We find that initially unstable fronts can become stable due to fluid motion.
Unable to display preview. Download preview PDF.
- 18.S.S. Shy, P.D. Ronney, S.G. Buckley, V. Yakhot, in 24th Symposium (International) on Combustion, The Combustion Institute, Pittsburgh, 1993, p. 543 Google Scholar
- 20.L.D. Landau, E.M. Lifshitz, Fluid Mechanics (Pergamon Press, 1987) Google Scholar
- 21.W. Press, S. Teukolsky, W. Vetterling, B. Flannery, Numerical Recipes, 3rd edn. (Cambridge University Press, Cambridge, 2007) Google Scholar
- 24.B.T. Smith, J.M. Boyle, J.J. Dongarra, B.S. Garbow, Y. Ikebe, V.C. Klema, C.B. Moler, Matrix Eigensystem Routines-EISPACK Guide, 2nd edn. (Springer-Verlag, Berlin, 1976) Google Scholar