Diffusion and Deposition of Brownian Particles in the Boundary Layer in Flow of a Dispersed Mixture Past a Permeable Surface.
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| Title: | Diffusion and Deposition of Brownian Particles in the Boundary Layer in Flow of a Dispersed Mixture Past a Permeable Surface. |
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| Authors: | Amanbaev, T. R.1 (AUTHOR) tulegen_amanbaev@mail.ru |
| Source: | Fluid Dynamics. Feb2025, Vol. 60 Issue 1, p1-17. 17p. |
| Subjects: | Numerical solutions to boundary value problems, Dirac function, Boundary layer (Aerodynamics), Boundary value problems, Fluid injection |
| Abstract: | The effect of mass transfer (owing to fluid injection or suction) with a surface in disperse flow on the processes of diffusion and deposition of Brownian particles in the boundary layer is studied. The equations of motion and diffusion of a dispersed mixture are presented in the boundary layer approximation with regard for the dependence of the effective viscosity of the suspension on the volume particle content. The boundary value problem is formulated in self-similar variables with regard for the fluid suction (injection) rate on the permeable surface. An analysis of the diffusion equation is carried out at small and large Schmidt numbers and in these limiting cases approximations of its solutions are found. In particular, it is shown that in the boundary layer, in the limit as the Schmidt number increases indefinitely, the derivative of the particle concentration with respect to the independent self-similar variable tends to the Dirac delta function. The results of numerical solution of the formulated boundary value problem obtained at various values of the constitutive parameters are discussed with reference to the plate boundary layer. It is found that in the presence of injection there exists a characteristic Schmidt number (depending on the injection intensity) such that a region without particles appears in the boundary layer at the higher Schmidt numbers. The effect of the injection intensity on the dimensions of this region is studied. The dependences of the diffusion particle flow toward the plate surface on the Schmidt number are analyzed in the case of the presence or absence of injection (suction). [ABSTRACT FROM AUTHOR] |
| Copyright of Fluid Dynamics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 184304124 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Diffusion and Deposition of Brownian Particles in the Boundary Layer in Flow of a Dispersed Mixture Past a Permeable Surface. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Amanbaev%2C+T%2E+R%2E%22">Amanbaev, T. R.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> tulegen_amanbaev@mail.ru</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Fluid+Dynamics%22">Fluid Dynamics</searchLink>. Feb2025, Vol. 60 Issue 1, p1-17. 17p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Numerical+solutions+to+boundary+value+problems%22">Numerical solutions to boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Dirac+function%22">Dirac function</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+layer+%28Aerodynamics%29%22">Boundary layer (Aerodynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+injection%22">Fluid injection</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The effect of mass transfer (owing to fluid injection or suction) with a surface in disperse flow on the processes of diffusion and deposition of Brownian particles in the boundary layer is studied. The equations of motion and diffusion of a dispersed mixture are presented in the boundary layer approximation with regard for the dependence of the effective viscosity of the suspension on the volume particle content. The boundary value problem is formulated in self-similar variables with regard for the fluid suction (injection) rate on the permeable surface. An analysis of the diffusion equation is carried out at small and large Schmidt numbers and in these limiting cases approximations of its solutions are found. In particular, it is shown that in the boundary layer, in the limit as the Schmidt number increases indefinitely, the derivative of the particle concentration with respect to the independent self-similar variable tends to the Dirac delta function. The results of numerical solution of the formulated boundary value problem obtained at various values of the constitutive parameters are discussed with reference to the plate boundary layer. It is found that in the presence of injection there exists a characteristic Schmidt number (depending on the injection intensity) such that a region without particles appears in the boundary layer at the higher Schmidt numbers. The effect of the injection intensity on the dimensions of this region is studied. The dependences of the diffusion particle flow toward the plate surface on the Schmidt number are analyzed in the case of the presence or absence of injection (suction). [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Fluid Dynamics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1134/S0015462824604285 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 17 StartPage: 1 Subjects: – SubjectFull: Numerical solutions to boundary value problems Type: general – SubjectFull: Dirac function Type: general – SubjectFull: Boundary layer (Aerodynamics) Type: general – SubjectFull: Boundary value problems Type: general – SubjectFull: Fluid injection Type: general Titles: – TitleFull: Diffusion and Deposition of Brownian Particles in the Boundary Layer in Flow of a Dispersed Mixture Past a Permeable Surface. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Amanbaev, T. R. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 00154628 Numbering: – Type: volume Value: 60 – Type: issue Value: 1 Titles: – TitleFull: Fluid Dynamics Type: main |
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