Thermo-hydrodynamics of thin surface films in heterogeneous combustion
type: Item
instance of: scholarly article
title: Thermo-hydrodynamics of thin surface films in heterogeneous combustion
zbMATH Open document ID: 0888.76090
DOI: 10.1023/A:1004202132051
author: H. Sprengel
author: Dirk Meinköhn
published in: Journal of Engineering Mathematics
publication date: 1998-06-04T00:00:00Z
review text: Heterogeneous reactions under transport control can be modelled in terms of a film of reaction products covering the reaction surface. Such a surface defines a unique direction in space which may be used to classify transport processes as transverse or longitudinal. Since crossed-gradient transport occurs, a Péclet number is introduced, representing the ratio of the velocities characterizing transverse and longitudinal transport, with transverse transport being by film diffusion of some reacting species and longitudinal transport corresponding to film flow as with wetting processes. The long-wave approximation is derived by an application of the method of strained variables which leads to a film equation for the spatio-temporal evolution of the film thickness \(h\) which represents the crucial element for a complete solution of the thermo-hydrodynamics of the layer. The evolution of the surface layer is shown to be a generalized reaction-diffusion process, with surface waves representing dynamical transitions between surface phases.
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 80A25
zbMATH DE Number: 1077884
zbMATH Keywords: transverse transport
zbMATH Keywords: surface ignition
zbMATH Keywords: surface extinction
zbMATH Keywords: reaction surface
zbMATH Keywords: Péclet number
zbMATH Keywords: longitudinal transport
zbMATH Keywords: long-wave approximation
zbMATH Keywords: method of strained variables
zbMATH Keywords: generalized reaction-diffusion process
zbMATH Keywords: surface waves
zbMATH Keywords: surface phases
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1077884