Nonlinear study of Rayleigh-Taylor instability in thin films past a porous layer
type: Item
instance of: scholarly article
title: Nonlinear study of Rayleigh-Taylor instability in thin films past a porous layer
zbMATH Open document ID: 0910.76020
author: K. Appert
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1998-09-28T00:00:00Z
review text: Using the lubrication and Stokes approximations, we study the linear and nonlinear Rayleigh-Taylor instability in a viscous fluid layer of finite thickness bounded above by a porous layer and below by a rigid surface. The linear problem is studied analytically while the nonlinear one is investigated by using both harmonic evolution of the interface and numerical integration.
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 1203580
zbMATH Keywords: lubrication approximation
zbMATH Keywords: Stokes approximation
zbMATH Keywords: linear stability curve
zbMATH Keywords: porous-slip parameter
zbMATH Keywords: harmonic evolution of interface
zbMATH Keywords: numerical integration
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1203580