DLR-Logo -> http://www.dlr.de
DLR Portal Home | Imprint | Privacy Policy | Contact | Deutsch
Fontsize: [-] Text [+]

Nonlinear study of Rayleigh-Taylor instability in thin films past a porous layer

Rudraiah, N. and Wagner, Claus and Evans, G.S. and Friedrich, Rainer (1998) Nonlinear study of Rayleigh-Taylor instability in thin films past a porous layer. Indian Journal Pure Applied Mathematics, 29 (4), pp. 417-431. Indian National Science Academy. ISSN 0019-5588.

[img] PDF - Published version

Official URL: http://eprints-bangaloreuniversity.in/5461/1/20005a06_417.pdf


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, have been studied based on approximations in effect similar to lubrication and Stokes approximations. The linear problem is studied analytically while the nonlinear problem is investigated using both, harmonic evolution of the interface and numerical integration. It is shown that the nature of the linear stability curve is controlled by both the porous-slip parameter ß and the thickness h of the fluid layer while its shape is controlled only by the ratio of the surface tension y and the normal stress term J. Comparing the results of linear and nonlinear analysis we found that nonlinear effects are significant only for small values of h. In general, we observed that the change in the nature of the interface (i.e., the nominal surface) is related to changes of the value of the slip parameter alpha.

Item URL in elib:https://elib.dlr.de/194000/
Document Type:Article
Title:Nonlinear study of Rayleigh-Taylor instability in thin films past a porous layer
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Rudraiah, N.Bangalore UniversityUNSPECIFIEDUNSPECIFIED
Wagner, ClausUNSPECIFIEDhttps://orcid.org/0000-0003-2273-0568UNSPECIFIED
Evans, G.S.Technische Universität MünchenUNSPECIFIEDUNSPECIFIED
Friedrich, RainerTechnische Universität MünchenUNSPECIFIEDUNSPECIFIED
Date:April 1998
Journal or Publication Title:Indian Journal Pure Applied Mathematics
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 417-431
EditorsEmailEditor's ORCID iDORCID Put Code
Roy, RahulIndian Statistical InstituteUNSPECIFIEDUNSPECIFIED
Publisher:Indian National Science Academy
Keywords:Rayleigh-Taylor instability, fluid layer, porous layer
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Rail Transport
DLR - Research area:Transport
DLR - Program:V SC Schienenverkehr
DLR - Research theme (Project):V - RoSto - Rolling Stock
Location: Göttingen
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > Ground Vehicles
Deposited By: Wagner, Prof. Dr.-Ing. Claus
Deposited On:30 Mar 2023 15:20
Last Modified:30 Mar 2023 15:20

Repository Staff Only: item control page

Help & Contact
electronic library is running on EPrints 3.3.12
Website and database design: Copyright © German Aerospace Center (DLR). All rights reserved.