Abstract
The work is devoted to the development of a multiscale approach for modeling multiphase liquid and gas flows in a porous medium. The problem of reprocessing organic fuels, including natural gas, has been chosen as an application. One of the important stages of such reprocessing is the purification of hydrocarbon raw materials from accompanying impurities (metal particles, solid organic compounds, etc.) in chemisorbers. To model treatment processes in such technical systems, a multiscale mathematical model is proposed that combines macroscopic and microscopic descriptions of multiphase fluid flows in a treatment system. The first part of the model refers to macroscopic scales and includes equations of gas and/or hydrodynamics for describing the multiphase multicomponent fluid flows, supplemented by convection-diffusion-reaction (CDR) equations for impurity concentrations. The second part of the model refers to microscopic scales and describes the processes in the boundary layers of the treatment system and in the pores. It is based on the equations of molecular dynamics and analytical chemistry. Both parts are conjugated within the method of splitting by physical processes. The work considers the problem of natural gas purification from hydrogen sulfide by passing contaminated fluid through a porous material. In it, the first part of the model is represented by quasistationary Navier–Stokes equations averaged over the volume. For their numerical implementation, an implicit grid algorithm implemented by Newton’s method is proposed. The CDR equations are solved according to an implicit time scheme. The second part of the model is represented by the dependencies of the permeability tensor components on porosity and impurity concentrations. The separate parts of the model have been calibrated in numerical experiments. In particular, model calculations of flows in a scrubber with a porous plug have been carried out. The calculations are performed using the FEniCS computing platform.
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Funding
The work was supported by the Russian Foundation for Basic Research and National Science Foundation of Bulgaria (project no. 20-51-18004-Bolg_a). The work was supported by the Russian Foundation for Basic Research (project no. 19-31-90140_aspiranty).
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Podryga, V.O., Churbanov, A.G., Tarasov, N.I. et al. Multiscale Approach for Modeling Multiphase Fluid Flows in Installations for Reprocessing of Natural Gas. Lobachevskii J Math 43, 1560–1571 (2022). https://doi.org/10.1134/S1995080222090219
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DOI: https://doi.org/10.1134/S1995080222090219