a School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK b Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India
Abstract:
Non-linear waves on the surface of a falling film of power-law fluid on a vertical porous plane are investigated. The waves are described by evolution equations generalising equations previously derived in the case of solid plane. It is shown that the slip condition on the interface between pure liquid and the porous substrate drastically changes structure of the steady waves travelling in the film.