A two-scale numerical model of mass transport and adsorption in a cylindrical radial-flow filter

Boborahimov, Bakhtiyor, Ermonova, Mohinur, Usmonov, Lochinbek, Боборахимов, Б, Эрмонова, М, Usmonov, Л, Boborahimov, Baxtiyor, Ermonova, Mohinur, Usmonov, Lochinbek

Mexanika muammolari jurnali · 2026-yil

Annotatsiya

A two-scale (macro–micro) mathematical model and a verified numerical method are developed for mass transport and adsorption in an annular cylindrical filter under inward radial flow. At the macro scale, an axisymmetric advection–dispersion equation with the interstitial velocity |???????? | ∝ 1/???? is coupled, through external film transfer and local Langmuir equilibrium, to intraparticle surface diffusion inside spherical granules resolved by the homogeneous surface diffusion model. The film coefficient and the radial dispersion are made velocity- dependent through standard Sherwood and dispersivity correlations. The complete dimensionless problem is derived and the governing groups (radial Peclet number, capacity ratio, Biot number, granule diffusion time, and a radius-dependent Damköhler number) are evaluated for a representative granular-activated-carbon case; for these parameters the process is intraparticle-diffusion limited, with ???????? ???? ∼ 102–103. The model is reduced to the classical linear-driving-force law in the fast-diffusion, negligible-film limit. The numerical method combines a conservative finite-volume discretisation on an equal-volume radial grid, Strang operator splitting, and a spectral (modal) reduction of the granule problem. Grid, time-step, and modal convergence, machine-precision global mass conservation, solution positivity, and agreement with the linear-driving-force limit are demonstrated. A controlled comparison against a uniform-velocity bed of equal residence time shows that, at constant intraparticle diffusivity, the radial velocity field mainly redistributes the internal loading while leaving the outlet breakthrough close to the uniform-velocity case

Maqola ma’lumotlari
MualliflarBoborahimov, Bakhtiyor, Ermonova, Mohinur, Usmonov, Lochinbek, Боборахимов, Б, Эрмонова, М, Usmonov, Л, Boborahimov, Baxtiyor, Ermonova, Mohinur, Usmonov, Lochinbek
JurnalMexanika muammolari jurnali
NashriyotМеханика ва иншоотлар сейсмик мустаҳкамлиги институти
ISSN2010-7250
Nashr sanasi2026-09-30
Jild37
Son3
Betlar74-83
TilIngliz
Ilmiy sohaTexnika
Indeksga qo‘shilgan2026-10-18

Maqolaning asl sahifasi

Kalit so‘zlar

radial-flow adsorber, two-scale model, homogeneous surface diffusion, film mass transfer, finite-volume method, spectral reduction, breakthrough curve, радиально-поточный адсорбер, двухмасштабная модель, однородная поверхностная диффузия, плёночный массоперенос, метод конечных объёмов, спектральная редукция, кривая проскока, radial oqimli adsorber, ikki masshtabli model, bir jinsli sirt diffuziyasi, plyonkali massa almashinuvi, chekli hajmlar usuli, spektral reduksiya, yorib o‘tish egri chizig‘i

Ilmiy soha

Texnika

Iqtibos keltirish

APABoborahimov, Bakhtiyor, Ermonova, Mohinur, Usmonov, Lochinbek, Боборахимов, Б, Эрмонова, М, Usmonov, Л, Boborahimov, Baxtiyor, Ermonova, Mohinur, & Usmonov, Lochinbek (2026). A two-scale numerical model of mass transport and adsorption in a cylindrical radial-flow filter. Mexanika muammolari jurnali, 37(3), 74-83. https://www.pmjournal.uz/index/article/view/26
GOST (OAK)Boborahimov, Bakhtiyor va b. A two-scale numerical model of mass transport and adsorption in a cylindrical radial-flow filter // Mexanika muammolari jurnali. – 2026. – T. 37, № 3. – P. 74-83.
MLABoborahimov, Bakhtiyor, Ermonova, Mohinur, Usmonov, Lochinbek, Боборахимов, Б, Эрмонова, М, Usmonov, Л, Boborahimov, Baxtiyor, Ermonova, Mohinur, and Usmonov, Lochinbek. “A two-scale numerical model of mass transport and adsorption in a cylindrical radial-flow filter.” Mexanika muammolari jurnali, 37(3), 74-83, 2026. https://www.pmjournal.uz/index/article/view/26
ChicagoBoborahimov, Bakhtiyor, Ermonova, Mohinur, Usmonov, Lochinbek, Боборахимов, Б, Эрмонова, М, Usmonov, Л, Boborahimov, Baxtiyor, Ermonova, Mohinur, and Usmonov, Lochinbek. “A two-scale numerical model of mass transport and adsorption in a cylindrical radial-flow filter.” Mexanika muammolari jurnali, 37(3), 74-83 (2026). https://www.pmjournal.uz/index/article/view/26
HarvardBoborahimov, Bakhtiyor, Ermonova, Mohinur, Usmonov, Lochinbek, Боборахимов, Б, Эрмонова, М, Usmonov, Л, Boborahimov, Baxtiyor, Ermonova, Mohinur, and Usmonov, Lochinbek (2026) ‘A two-scale numerical model of mass transport and adsorption in a cylindrical radial-flow filter’, Mexanika muammolari jurnali, 37(3), 74-83. https://www.pmjournal.uz/index/article/view/26
BibTeX
@article{boborahimovbakhtiyor2026,
  title = {A two-scale numerical model of mass transport and adsorption in a cylindrical radial-flow filter},
  author = {Boborahimov, Bakhtiyor and Ermonova, Mohinur and Usmonov, Lochinbek and Боборахимов, Б and Эрмонова, М and Usmonov, Л and Boborahimov, Baxtiyor and Ermonova, Mohinur and Usmonov, Lochinbek},
  journal = {Mexanika muammolari jurnali},
  year = {2026},
  volume = {37},
  number = {3},
  pages = {74-83},
  url = {https://www.pmjournal.uz/index/article/view/26}
}

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