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  • packed bed  (2)
  • Dispersion  (1)
  • Finite element method  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Modelling the flow of power law fluids in a packed bed using a volume-averaged equation of motion (1996)
    Springer
    Transport in porous media 23 (1996), S. 175-196 
    Details
    ISSN: 1573-1634
    Keywords: non-Newtonian fluid ; packed bed ; pressure drop
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract The development of a theoretical model for the prediction of velocity and pressure drop for the flow of a viscous power law fluid through a bed packed with uniform spherical particles is presented. The model is developed by volume averaging the equation of motion. A porous microstructure model based on a cell model is used. Numerical solution of the resulting equation is effected using a penalty Galerkin finite element method. Experimental pressure drop values for dilute solutions of carboxymethylcellulose flowing in narrow tubes packed with uniformly sized spherical particles are compared to theoretical predictions over a range of operating conditions. Overall agreement between experimental and theoretical values is within 15%. The extra pressure drop due to the presence of the wall is incorporated directly into the model through the application of the no-slip boundary condition at the container wall. The extra pressure drop reaches a maximum of about 10% of the bed pressure drop without wall effect. The wall effect increases as the ratio of tube diameter to particle diameter decreases, as the Reynolds number decreases and as the power law index increases.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00178125
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  • 2
    Electronic Resource
    Electronic Resource
    A study of two-dimensional dispersion in unconsolidated porous media (1990)
    Springer
    Transport in porous media 5 (1990), S. 269-286 
    Details
    ISSN: 1573-1634
    Keywords: Dispersion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00140016
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  • 3
    Electronic Resource
    Electronic Resource
    An equation of motion for an incompressible Newtonian fluid in a packed bed (1995)
    Springer
    Transport in porous media 18 (1995), S. 185-198 
    Details
    ISSN: 1573-1634
    Keywords: Finite element ; permeability ; Navier-Stokes ; packed bed ; spherical particles
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01064677
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  • 4
    Electronic Resource
    Electronic Resource
    A decomposed Crouzeix-Raviart element for the finite element solution of the Navier-Stokes equation (1991)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 13 (1991), S. 1073-1083 
    Details
    ISSN: 0271-2091
    Keywords: Crouzeix-Raviart ; Analytical integration ; Brezzi-Babuška condition ; Navier-Stokes ; Finite element method ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: 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.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650130902
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