Sökning: onr:"swepub:oai:DiVA.org:ltu-82624" >
On pressure-driven ...
On pressure-driven Hele–Shaw flow of power-law fluids
-
- Fabricius, John (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
-
- Manjate, Salvador (författare)
- Luleå tekniska universitet,Matematiska vetenskaper,Department of Mathematics and Informatics, Eduardo Mondlane University, Maputo, Mozambique
-
- Wall, Peter (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
-
(creator_code:org_t)
- 2021-02-03
- 2022
- Engelska.
-
Ingår i: Applicable Analysis. - : Taylor & Francis. - 0003-6811 .- 1563-504X. ; 101:14, s. 5107-5137
- Relaterad länk:
-
https://doi.org/10.1...
-
visa fler...
-
https://ltu.diva-por... (primary) (Raw object)
-
https://www.tandfonl...
-
https://urn.kb.se/re...
-
https://doi.org/10.1...
-
visa färre...
Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- stress boundary condition
- Hele-Shaw cell
- power-law fluid
- p-Laplace equation
- thin film flow
- Applied Mathematics
- Tillämpad matematik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas