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Digitale Medien

A study of two-dimensional dispersion in unconsolidated porous media (1990)

Voigt, C. G. ; Hayes, R. E. ; Tanguy, P. A.

Springer

Transport in porous media 5 (1990), S. 269-286

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ISSN: 1573-1634

Schlagwort(e): Dispersion

Quelle: Springer Online Journal Archives 1860-2000

Thema: Geologie und Paläontologie , Technik allgemein

Notizen: Abstract An experimental and numerical investigation into the magnitude of longitudinal and transverse dispersion in a two-dimensional flow field over a particle Peclet number range of 50–8500 is reported. Numerical modelling using a Galerkin finite element method is used to test various models, notably those of Fried and combarnous and Koch and Brady. Dispersion at low Peclet numbers (〈 200) is found to be described adequately by either model, which at large Peclet, the degree of dispersion is significantly underestimated. An improved dispersion model for Peclet numbers greater than 200 is proposed. The transverse dispersion term and the choice of inlet boundary condition are found to have a negligible effect on the shape of the breakthrough curve.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00140016

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Digitale Medien

An equation of motion for an incompressible Newtonian fluid in a packed bed (1995)

Hayes, R. E. ; Afacan, A. ; Boulanger, B.

Springer

Transport in porous media 18 (1995), S. 185-198

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ISSN: 1573-1634

Schlagwort(e): Finite element ; permeability ; Navier-Stokes ; packed bed ; spherical particles

Quelle: Springer Online Journal Archives 1860-2000

Thema: Geologie und Paläontologie , Technik allgemein

Notizen: Abstract The application of a volume average Navier-Stokes equation for the prediction of pressure drop in packed beds consisting of uniform spherical particles is presented. The development of the bed permeability from an assumed porous microstructure model is given. The final model is quasi-empirical in nature, and is able to correlate a wide variety of literature data over a large Reynolds number range. In beds with wall effects present the model correlates experimental data with an error of less than 10%. Numerical solutions of the volume averaged equation are obtained using a penalty finite element method.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01064677

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Digitale Medien

A decomposed Crouzeix-Raviart element for the finite element solution of the Navier-Stokes equation (1991)

Bertrand, F. H. ; Hayes, R. E. ; Tanguy, P. A.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 13 (1991), S. 1073-1083

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ISSN: 0271-2091

Schlagwort(e): Crouzeix-Raviart ; Analytical integration ; Brezzi-Babuška condition ; Navier-Stokes ; Finite element method ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: A methodology for the decomposition of the Crouzeix-Raviart finite element into six linear subelements is described. The resulting element is shown to satisfy the Brezzi-Babuška compatibility condition. The error bounds are also established. A comparison in accuracy between this and the standard Crouzeix-Raviart element is presented for driven cavity flows. Other results include the execution time for the DCR element and the Crouzeix-Raviart element along with both analytical and numerical integration. It is shown that the decomposed element results in shorter execution times with only marginal changes in accuracy.

Zusätzliches Material: 9 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650130902

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