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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimir: 2152-5102
ISSN En Línea: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v25.i1-3.300
pages 339-350

The Mixed Convection Flow of a Bingham Plastic in an Eccentric Annulus

N. Patel
Department of Applied Mathematical Studies, University of Leeds, Leeds, UK
Derek B. Ingham
Centre for CFD, Department of Applied Mathematical Studies, The University of Leeds, Leeds, LS2 9JT, UK; Energy-2050, Faculty of Engineering, University of Sheffield, Sheffield, S10 2TN, UK


The modeling of laminar, fully-developed combined convection flow of a Bingham plastic in a vertical eccentric annulus, in which the walls are held at asymmetric constant temperatures is investigated. The momentum, continuity and energy equations are solved numerically using the Finite Element Method (F.E.M.). The results obtained are found to be in good agreement with the analytical solutions found by using a narrow gap approximation, that is the gap between the walls of the annulus is small compared with the inner radius. It is shown that different flow configurations exist depending on the buoyancy parameter, Grashof/Reynolds, including flow reversal and unsheared plug flow adjacent to the wall. If flow reversal occurs it is shown by the numerical solution that a pair of 'true plugs' in which the velocity is independent of both the radial and azimuthal variables can exist at each of the widest and narrowest regions of the annulus. Further, it is found that the leading order narrow-gap approximation is inadequate to predict these true plugs.

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