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On the Stokes Paradox for Power‐Law Fluids
Author(s) -
MarušićPaloka E.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200101)81:1<31::aid-zamm31>3.0.co;2-g
Subject(s) - dilatant , stokes flow , newtonian fluid , power law fluid , domain (mathematical analysis) , power law , non newtonian fluid , flow (mathematics) , dimension (graph theory) , stokes' law , space (punctuation) , mathematics , mechanics , classical mechanics , physics , mathematical analysis , philosophy , pure mathematics , linguistics , statistics
We study a purely viscous flow of a non‐Newtonian fluid obeying the power‐law in an exterior domain. We prove that for pseudo‐plastic fluids the Stokes paradox does not take place, while for the dilatant fluids it takes place in any space dimension n if the flow index is larger or equal to n .