id:"swepub:oai:DiVA.org:ltu-82624"
Search: id:"swepub:oai:DiVA.org:ltu-82624" > On pressure-driven ...
- 1 of 1
- Previous record
- Next record
- To hitlist
On pressure-driven Hele–Shaw flow of power-law fluids
-
- Fabricius, John (author)
- Luleå tekniska universitet,Matematiska vetenskaper
-
- Manjate, Salvador (author)
- Luleå tekniska universitet,Matematiska vetenskaper,Department of Mathematics and Informatics, Eduardo Mondlane University, Maputo, Mozambique
-
- Wall, Peter (author)
- Luleå tekniska universitet,Matematiska vetenskaper
- (creator_code:org_t)
- 2021-02-03
- 2022
- English.
- In: Applicable Analysis. - : Taylor & Francis. - 0003-6811 .- 1563-504X. ; 101:14, s. 5107-5137
- Journal article (peer-reviewed)
Abstract
Subject headings
Close
- We analyze the asymptotic behavior of a non-Newtonian Stokes system, posed in a Hele–Shaw cell, i.e. a thin three-dimensional domain which is confined between two curved surfaces and contains a cylindrical obstacle. The fluid is assumed to be of power-law type defined by the exponent 1< p<∞. By letting the thickness of the domain tend to zero we obtain a generalized form of the Poiseuille law, i.e. the limit velocity is a nonlinear function of the limit pressure gradient. The flow is assumed to be driven by an external pressure which is applied as a normal stress along the lateral part of the boundary. On the remaining part of the boundary we impose a no-slip condition. The two-dimensional limit problem for the pressure is a generalized form of the p′-Laplace equation, 1/p+1/p'=1, with a coefficient called ‘flow factor’, which depends on the geometry as well as the power-law exponent. The boundary conditions are preserved in the limit as a Dirichlet condition for the pressure on the lateral boundary and as a Neumann condition for the pressure on the solid obstacle.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- stress boundary condition
- Hele-Shaw cell
- power-law fluid
- p-Laplace equation
- thin film flow
- Applied Mathematics
- Tillämpad matematik
Publication and Content Type
- ref (subject category)
- art (subject category)
Find in a library
- Applicable Analysis (Search for host publication in LIBRIS)
To the university's database
- 1 of 1
- Previous record
- Next record
- To hitlist
Find more in SwePub
- By the author/editor
- Fabricius, John
- Manjate, Salvado ...
- Wall, Peter
- About the subject
-
- NATURAL SCIENCES
- NATURAL SCIENCES
- and Mathematics
- and Mathematical Ana ...
- Articles in the publication
- Applicable Analy ...
- By the university
- Luleå University of Technology
Search outside SwePub
- Extend your search to:
- Google Book Search
- Google Scholar
Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.
- Copyright © LIBRIS - National Library Systems
- LIBRIS.kb.se
