2D rotation of rigid inclusions in confined bulk simple shear flow: a numerical study |
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Authors: | Fernando O. Marques, Rui M. Taborda,Jos V. Antunes |
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Affiliation: | aDepartmento de Geologia and CGUL, Faculdade de Ciências, Universidade de Lisboa, Edifício C6, Piso 2, 1749-016 Lisboa, Portugal;bDepartmento de Geologia and LATTEX, Faculdade de Ciências, Universidade de Lisboa, Edificio C6, Piso 2, 1749-016 Lisboa Portugal;cApplied Dynamics Laboratory, Instituto Tecnológico e Nuclear, Estrada Nacional 10, 2686 Sacavém, Portugal |
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Abstract: | We have used incompressible Navier–Stokes in 2D finite element modelling to investigate rigid inclusion rotation under confined bulk simple shear flow. Confinement is defined as the ratio (S) between the channel width (H) and the inclusion's least axis (e2)(S=H/e2). The numerical results show that (i) inclusion rotation is strongly influenced by S and, when the confinement is effective, aspect ratio (R) and shape also play an important role. (ii) Back rotation is limited because inclusions reach a stable equilibrium orientation (se). (iii) There is also an unstable equilibrium orientation (ue), which defines an antithetic rotation field with se, and both se and ue depend on S, and inclusion R and shape. |
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Keywords: | Numerical modelling Inclusion rotation Inclusion shape Confined simple shear Stable equilibrium orientations SPO |
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