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On pressure-driven ...
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Fabricius, JohnLuleå tekniska universitet,Matematiska vetenskaper
(author)
On pressure-driven Hele–Shaw flow of power-law fluids
- Article/chapterEnglish2022
Publisher, publication year, extent ...
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2021-02-03
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Taylor & Francis,2022
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electronicrdacarrier
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LIBRIS-ID:oai:DiVA.org:ltu-82624
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https://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-82624URI
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https://doi.org/10.1080/00036811.2021.1880570DOI
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Language:English
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Summary in:English
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
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Validerad;2022;Nivå 2;2022-09-26 (hanlid)
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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.
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Manjate, SalvadorLuleå tekniska universitet,Matematiska vetenskaper,Department of Mathematics and Informatics, Eduardo Mondlane University, Maputo, Mozambique(Swepub:ltu)salman
(author)
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Wall, PeterLuleå tekniska universitet,Matematiska vetenskaper(Swepub:ltu)wall
(author)
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Luleå tekniska universitetMatematiska vetenskaper
(creator_code:org_t)
Related titles
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In:Applicable Analysis: Taylor & Francis101:14, s. 5107-51370003-68111563-504X
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