NDLI: Creeping films with vortices over strongly undulated bottoms

Content Provider	Springer Nature Link
Author	Scholle, M. Wierschem, A. Aksel, N.
Copyright Year	2004
Abstract	We study the influence of an undulated bottom profile on steady two–dimensional gravity driven film flows of a Newtonian fluid. Traditional approaches towards this topic are based on lubrication approximation, on special perturbation methods or on numerics. However, lubrication approximation and perturbation methods deliver acceptable results only within their range of validity. Especially if the bottom is strongly undulated, conventional analytical methods fail. Neither can the classical separation solution of the biharmonic equation in terms of an infinite series be applied because of massive convergence problems if the waviness exceeds a limit. In this paper we present an analytical method based on a representation of the solution of Stokes equations in terms of holomorphic functions. Applying the complex function theory, convergence problems are avoided and the problem is reduced to solving ordinary differential equations and integral equations at the boundaries only. Our calculations show the creation, formation and evolution of vortices if waviness and film thickness exceed critical values. A detailed parameter study on size and strength of the vortices is shown. Moreover, we present a quantitative study on the effect of the vortices on the flow rate. Our calculations show very good agreement with experimental results.
Starting Page	167
Ending Page	193
Page Count	27
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	168
Issue Number	3-4
e-ISSN	16196937
Language	English
Publisher	Springer-Verlag
Publisher Date	2004-03-31
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Effect of long undulated bottoms on thin gravity-driven films

Creeping couette flow over an undulated plate

Correction to: Creeping Couette flow over an undulated plate

Films over topography: from creeping flow to linear stability, theory and experiments, a review

On creeping flow over a cylinder rotating in presence of translating plane boundary

A moving cohesive interface model for fracture in creeping materials

Linear stability of plane creeping Couette flow for Burgers fluid

On the refracted patterns produced by liquid vortices

Weak Thermal Vortex Rings

Creeping films with vortices over strongly undulated bottoms

Similar Documents

Effect of long undulated bottoms on thin gravity-driven films

Creeping couette flow over an undulated plate

Correction to: Creeping Couette flow over an undulated plate

Films over topography: from creeping flow to linear stability, theory and experiments, a review

On creeping flow over a cylinder rotating in presence of translating plane boundary

A moving cohesive interface model for fracture in creeping materials

Linear stability of plane creeping Couette flow for Burgers fluid

On the refracted patterns produced by liquid vortices

Weak Thermal Vortex Rings

Creeping films with vortices over strongly undulated bottoms