Jacob Rubinstein's research while affiliated with University of Minnesota Duluth and other places
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Publication (1)
The problem of transport of a passive solute in a porous medium by convection and dispersion is analysed by the method of homogenization. Assuming that the geometry is periodic, the expressions for the macroscopic dispersion coefficients are derived. A few possible scalings are compared and we find that the most interesting one provides a local bal...
Citations
... In the fixed geometry case, effective models including Taylor dispersion were derived by formal upscaling techniques in earlier studies [7,8] stating its quadratic dependence on the velocity field. Reactive flow under dominating convective transport and reaction was (rigorously) studied, and analytical solutions of the corresponding models were investigated in a series of papers by Mikelic and coworkers [9][10][11][12][13][14]. ...
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