A mathematical model to study the wall roughness effects on the migration of inertial particles in a shear flow

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dc.citation.epage36
dc.citation.issue1
dc.citation.journalTitleМатематичне моделювання та комп'ютинг
dc.citation.spage30
dc.contributor.affiliationУніверситет Ібн Зохр
dc.contributor.affiliationУніверситет Мулая Ісмаїла
dc.contributor.affiliationУніверситет Нуакшот Аль-Аасрія
dc.contributor.affiliationIbn Zohr University
dc.contributor.affiliationMoulay Ismail University
dc.contributor.affiliationNouakchott Al-Aasriya University
dc.contributor.authorАссуді, Р.
dc.contributor.authorЛамзуд, К.
dc.contributor.authorАхмеду, А.
dc.contributor.authorЧауї, М.
dc.contributor.authorAssoudi, R.
dc.contributor.authorLamzoud, K.
dc.contributor.authorAhmedou, A.
dc.contributor.authorChaoui, M.
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2025-03-04T11:54:52Z
dc.date.created2023-02-28
dc.date.issued2023-02-28
dc.description.abstractРозділення частинок у рідинній області актуальне в різних промислових застосуваннях. Вплив шорсткості є більшим, ніж вплив інерції рідини, тому число Рейнольдса є низьким і застосовуються рівняння повзучого потоку. Шорсткість стінки вважається жорсткою і періодичною, змінюваною в одному напрямку. Розраховано траєкторії вільних частинок у зсувному потоці.
dc.description.abstractSeparation of particles in a fluid domain is relevant in various industrial applications. The effect due to the roughness is preponderant compared with that due to fluid inertia so that the Reynolds number is low and the creeping flow equations apply. The wall roughness is assumed to be rigid and periodic, varied in one direction. The trajectories of freely moving particles in a shear flow are calculated.
dc.format.extent30-36
dc.format.pages7
dc.identifier.citationA mathematical model to study the wall roughness effects on the migration of inertial particles in a shear flow / R. Assoudi, K. Lamzoud, A. Ahmedou, M. Chaoui // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2023. — Vol 10. — No 1. — P. 30–36.
dc.identifier.citationenA mathematical model to study the wall roughness effects on the migration of inertial particles in a shear flow / R. Assoudi, K. Lamzoud, A. Ahmedou, M. Chaoui // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2023. — Vol 10. — No 1. — P. 30–36.
dc.identifier.doidoi.org/10.23939/mmc2023.01.030
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/63498
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofМатематичне моделювання та комп'ютинг, 1 (10), 2023
dc.relation.ispartofMathematical Modeling and Computing, 1 (10), 2023
dc.relation.references[1] Pasol L., Martin M., Ekiel-Je˙zewska M. L., Wajnryb E., Blawzdziewicz J., Feuillebois F. Motion of a sphere parallel to plane walls in a Poiseuille flow. Application to field-flow fractionation and hydrodynamic chromatography. Chemical Engineering Science. 66 (18), 4078–4089 (2011).
dc.relation.references[2] Kim Y. W., Yoo J. Y. Three-dimensional focusing of red blood cells in microchannel flows for bio-sensing applications. Biosensors and Bioelectronics. 24 (12), 3677–3682 (2009).
dc.relation.references[3] Segr´e G., Silberberg A. Radial particle displacements in Poiseuille flow of suspensions. Nature. 189, 209–210 (1961).
dc.relation.references[4] Segr´e G., Silberberg A. Behaviour of macroscopic rigid spheres in Poiseuille flow Part 2. Experimental results and interpretation. Journal of fluid mechanics. 14 (1), 136–157 (1962).
dc.relation.references[5] Ho B. P., Leal L. G. Inertial migration of rigid spheres in two-dimensional unidirectional flows. Journal of fluid mechanics. 65 (2), 365–400 (1974).
dc.relation.references[6] Leal L. G. Particle motions in a viscous fluid. Annual Review of Fluid Mechanics. 12, 435–476 (1980).
dc.relation.references[7] Saffman P. G. The lift on a small sphere in a slow shear flow. Journal of fluid mechanics. 22 (2), 385–400(1965).
dc.relation.references[8] Asmolov E. S. Dynamics of a spherical particle in a laminar boundary layer. Fluid Dynamics. 25, 886–890 (1990).
dc.relation.references[9] McLaughlin J. B. Inertial migration of a small sphere in linear shear flows. Journal of Fluid Mechanics. 224, 261–274 (1991).
dc.relation.references[10] Leighton D., Acrivos A. The lift on a small sphere touching a plane in the presence of a simple shear flow. Zeitschrift f¨ur angewandte Mathematik und Physik ZAMP. 36, 174–178 (1985).
dc.relation.references[11] Cherukat P., McLaughlin J. B. The inertial lift on a rigid sphere in a linear shear flow field near a flat wall. Journal of Fluid Mechanics. 285, 407 (1995).
dc.relation.references[12] Krishnan G. P., Leighton D. T. (Jr.) Inertial lift on a moving sphere in contact with a plane wall in a shear flow. Physics of Fluids. 7 (11), 2538–2545 (1995).
dc.relation.references[13] Legendre D., Magnaudet J. The lift force on a spherical bubble in a viscous linear shear flow. Journal of Fluid Mechanics. 368, 81–126 (1998).
dc.relation.references[14] Assoudi R., Lamzoud K., Chaoui M. Influence of the wall roughness on a linear shear flow. FME Transactions. 46 (2), 272–277 (2018).
dc.relation.references[15] Lamzoud K., Assoudi R., Bouisfi F., Chaoui M. A spherical particle settling towards a corrugated wall. Russian Journal of Nonlinear Dynamics. 15 (2), 125–134 (2019).
dc.relation.references[16] Chaoui M., Feuillebois F. Creeping flow around a sphere in a shear flow close to a wall. The Quarterly Journal of Mechanics and Applied Mathematics. 56 (3), 381–410 (2003).
dc.relation.references[17] Yahiaoui S., Feuillebois F. Lift on a sphere moving near a wall in a parabolic flow. Journal of Fluid Mechanics. 662, 447–474 (2010).
dc.relation.references[18] Assoudi R., Chaoui M., Feuillebois F., Allouche H. Motion of a spherical particle along a rough wall in a shear flow. Zeitschrift f¨ur angewandte Mathematik und Physik ZAMP. 69, 112 (2018).
dc.relation.referencesen[1] Pasol L., Martin M., Ekiel-Je˙zewska M. L., Wajnryb E., Blawzdziewicz J., Feuillebois F. Motion of a sphere parallel to plane walls in a Poiseuille flow. Application to field-flow fractionation and hydrodynamic chromatography. Chemical Engineering Science. 66 (18), 4078–4089 (2011).
dc.relation.referencesen[2] Kim Y. W., Yoo J. Y. Three-dimensional focusing of red blood cells in microchannel flows for bio-sensing applications. Biosensors and Bioelectronics. 24 (12), 3677–3682 (2009).
dc.relation.referencesen[3] Segr´e G., Silberberg A. Radial particle displacements in Poiseuille flow of suspensions. Nature. 189, 209–210 (1961).
dc.relation.referencesen[4] Segr´e G., Silberberg A. Behaviour of macroscopic rigid spheres in Poiseuille flow Part 2. Experimental results and interpretation. Journal of fluid mechanics. 14 (1), 136–157 (1962).
dc.relation.referencesen[5] Ho B. P., Leal L. G. Inertial migration of rigid spheres in two-dimensional unidirectional flows. Journal of fluid mechanics. 65 (2), 365–400 (1974).
dc.relation.referencesen[6] Leal L. G. Particle motions in a viscous fluid. Annual Review of Fluid Mechanics. 12, 435–476 (1980).
dc.relation.referencesen[7] Saffman P. G. The lift on a small sphere in a slow shear flow. Journal of fluid mechanics. 22 (2), 385–400(1965).
dc.relation.referencesen[8] Asmolov E. S. Dynamics of a spherical particle in a laminar boundary layer. Fluid Dynamics. 25, 886–890 (1990).
dc.relation.referencesen[9] McLaughlin J. B. Inertial migration of a small sphere in linear shear flows. Journal of Fluid Mechanics. 224, 261–274 (1991).
dc.relation.referencesen[10] Leighton D., Acrivos A. The lift on a small sphere touching a plane in the presence of a simple shear flow. Zeitschrift f¨ur angewandte Mathematik und Physik ZAMP. 36, 174–178 (1985).
dc.relation.referencesen[11] Cherukat P., McLaughlin J. B. The inertial lift on a rigid sphere in a linear shear flow field near a flat wall. Journal of Fluid Mechanics. 285, 407 (1995).
dc.relation.referencesen[12] Krishnan G. P., Leighton D. T. (Jr.) Inertial lift on a moving sphere in contact with a plane wall in a shear flow. Physics of Fluids. 7 (11), 2538–2545 (1995).
dc.relation.referencesen[13] Legendre D., Magnaudet J. The lift force on a spherical bubble in a viscous linear shear flow. Journal of Fluid Mechanics. 368, 81–126 (1998).
dc.relation.referencesen[14] Assoudi R., Lamzoud K., Chaoui M. Influence of the wall roughness on a linear shear flow. FME Transactions. 46 (2), 272–277 (2018).
dc.relation.referencesen[15] Lamzoud K., Assoudi R., Bouisfi F., Chaoui M. A spherical particle settling towards a corrugated wall. Russian Journal of Nonlinear Dynamics. 15 (2), 125–134 (2019).
dc.relation.referencesen[16] Chaoui M., Feuillebois F. Creeping flow around a sphere in a shear flow close to a wall. The Quarterly Journal of Mechanics and Applied Mathematics. 56 (3), 381–410 (2003).
dc.relation.referencesen[17] Yahiaoui S., Feuillebois F. Lift on a sphere moving near a wall in a parabolic flow. Journal of Fluid Mechanics. 662, 447–474 (2010).
dc.relation.referencesen[18] Assoudi R., Chaoui M., Feuillebois F., Allouche H. Motion of a spherical particle along a rough wall in a shear flow. Zeitschrift f¨ur angewandte Mathematik und Physik ZAMP. 69, 112 (2018).
dc.rights.holder© Національний університет “Львівська політехніка”, 2023
dc.subjectповзучий потік
dc.subjectміграція частинок
dc.subjectшорстка стінка
dc.subjectінерція частинок
dc.subjectінерція рідини
dc.subjectcreeping flow
dc.subjectparticle migration
dc.subjectrough wall
dc.subjectparticle inertia
dc.subjectfluid inertia
dc.titleA mathematical model to study the wall roughness effects on the migration of inertial particles in a shear flow
dc.title.alternativeМатематична модель для вивчення впливу шорсткості стінки на міграцію інерційних частинок у зсувному потоці
dc.typeArticle

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Mathematical Modeling And Computing. – 2023. – Vol. 10, No. 1