By S. Kalliadasis, C. Ruyer-Quil, B. Scheid, M. G. Velarde
Falling Liquid Films supplies a close assessment of state of the art theoretical, analytical and numerical methodologies, for the research of dissipative wave dynamics and trend formation at the floor of a movie falling down a planar vulnerable substrate. This prototype is an open-flow hydrodynamic instability, that represents a superb paradigm for the examine of complexity in lively nonlinear media with strength provide, dissipation and dispersion. it's going to even be of use for a extra basic realizing of particular occasions characterizing the transition to spatio-temporal chaos and weak/dissipative turbulence. specific emphasis is given to low-dimensional approximations for such flows via a hierarchy of modeling techniques, together with equations of the boundary-layer style, averaged formulations in response to weighted residuals ways and long-wave expansions. at any time when attainable the hyperlink among thought and scan is illustrated, and, as one more bridge among the 2, the advance of order-of-magnitude estimates and scaling arguments is used to facilitate the certainty of easy, underlying physics.
This monograph will entice complicated graduate scholars in utilized arithmetic, technology or engineering venture study on interfacial fluid mechanics or learning fluid mechanics as a part of their application. it is going to even be of use to researchers engaged on either utilized, primary theoretical and experimental features of skinny movie flows, in addition to engineers and technologists facing approaches concerning isothermal or heated movies. This monograph is basically self-contained and no historical past on interfacial fluid mechanics is thought.