Transport and Deposition of Large Aspect Ratio Prolate and Oblate Spheroidal Nanoparticles in Cross Flow

Document identifier: oai:DiVA.org:ltu-76979
Access full text here:10.3390/pr7120886
Keyword: Engineering and Technology, Mechanical Engineering, Fluid Mechanics and Acoustics, Teknik och teknologier, Maskinteknik, Strömningsmekanik och akustik, Transport, Deposition, Non-spherical particles, Stokes flow, Cross flow, Boundary layers, Composite manufacturing, Strömningslära, Fluid Mechanics
Publication year: 2019
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Abstract:

The objective of this paper was to study the transport and deposition of non-spherical oblate and prolate shaped particles for the flow in a tube with a radial suction velocity field, with an application to experiments related to composite manufacturing. The transport of the non-spherical particles is governed by a convective diffusion equation for the probability density function, also called the Fokker–Planck equation, which is a function of the position and orientation angles. The flow is governed by the Stokes equation with an additional radial flow field. The concentration of particles is assumed to be dilute. In the solution of the Fokker–Planck equation, an expansion for small rotational Peclet numbers and large translational Peclet numbers is considered. The solution can be divided into an outer region and two boundary layer regions. The outer boundary layer region is governed by an angle-averaged convective-diffusion equation. The solution in the innermost boundary layer region is a diffusion equation including the radial variation and the orientation angles. Analytical deposition rates are calculated as a function of position along the tube axis. The contribution from the innermost boundary layer called steric- interception deposition is found to be very small. Higher order curvature and suction effects are found to increase deposition. The results are compared with results using a Lagrangian tracking method of the same flow configuration. When compared, the deposition rates are of the same order of magnitude, but the analytical results show a larger variation for different particle sizes. The results are also compared with numerical results, using the angle averaged convective-diffusion equation. The agreement between numerical and analytical results is good.

Authors

Hans O. Åkerstedt

Luleå tekniska universitet; Strömningslära och experimentell mekanik
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    header: 
        identifier: oai:DiVA.org:ltu-76979
        datestamp: 2021-04-19T12:42:29Z
        setSpec: SwePub-ltu
    metadata: 
        mods: 
            @attributes: 
                version: 3.7
            recordInfo: 
                recordContentSource: ltu
                recordCreationDate: 2019-11-29
            identifier: 
                http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-76979
                10.3390/pr7120886
                2-s2.0-85079675695
            titleInfo: 
                @attributes: 
                    lang: eng
                title: Transport and Deposition of Large Aspect Ratio Prolate and Oblate Spheroidal Nanoparticles in Cross Flow
            abstract: 
The objective of this paper was to study the transport and deposition of non-spherical oblate and prolate shaped particles for the flow in a tube with a radial suction velocity field with an application to experiments related to composite manufacturing. The transport of the non-spherical particles is governed by a convective diffusion equation for the probability density function also called the Fokker–Planck equation which is a function of the position and orientation angles. The flow is governed by the Stokes equation with an additional radial flow field. The concentration of particles is assumed to be dilute. In the solution of the Fokker–Planck equation an expansion for small rotational Peclet numbers and large translational Peclet numbers is considered. The solution can be divided into an outer region and two boundary layer regions. The outer boundary layer region is governed by an angle-averaged convective-diffusion equation. The solution in the innermost boundary layer region is a diffusion equation including the radial variation and the orientation angles. Analytical deposition rates are calculated as a function of position along the tube axis. The contribution from the innermost boundary layer called steric- interception deposition is found to be very small. Higher order curvature and suction effects are found to increase deposition. The results are compared with results using a Lagrangian tracking method of the same flow configuration. When compared the deposition rates are of the same order of magnitude but the analytical results show a larger variation for different particle sizes. The results are also compared with numerical results using the angle averaged convective-diffusion equation. The agreement between numerical and analytical results is good.

            subject: 
                    @attributes: 
                        lang: eng
                        authority: uka.se
                    topic: 
                        Engineering and Technology
                        Mechanical Engineering
                        Fluid Mechanics and Acoustics
                    @attributes: 
                        lang: swe
                        authority: uka.se
                    topic: 
                        Teknik och teknologier
                        Maskinteknik
                        Strömningsmekanik och akustik
                    @attributes: 
                        lang: eng
                    topic: transport
                    @attributes: 
                        lang: eng
                    topic: deposition
                    @attributes: 
                        lang: eng
                    topic: non-spherical particles
                    @attributes: 
                        lang: eng
                    topic: Stokes flow
                    @attributes: 
                        lang: eng
                    topic: cross flow
                    @attributes: 
                        lang: eng
                    topic: boundary layers
                    @attributes: 
                        lang: eng
                    topic: composite manufacturing
                    @attributes: 
                        lang: swe
                        authority: ltu
                    topic: Strömningslära
                    genre: Research subject
                    @attributes: 
                        lang: eng
                        authority: ltu
                    topic: Fluid Mechanics
                    genre: Research subject
            language: 
                languageTerm: eng
            genre: 
                publication/journal-article
                ref
            note: 
                Published
                1
                
Validerad;2019;Nivå 2;2019-12-06 (johcin)

            name: 
                @attributes: 
                    type: personal
                    authority: ltu
                namePart: 
                    Åkerstedt
                    Hans O.
                role: 
                    roleTerm: aut
                affiliation: 
                    Luleå tekniska universitet
                    Strömningslära och experimentell mekanik
                nameIdentifier: 
                    hake
                    0000-0002-8739-1934
            originInfo: 
                dateIssued: 2019
                publisher: MDPI
                place: 
                    placeTerm: Basel
            relatedItem: 
                @attributes: 
                    type: host
                titleInfo: 
                    title: Processes
                identifier: 2227-9717
                part: 
                    detail: 
                            @attributes: 
                                type: volume
                            number: 7
                            @attributes: 
                                type: issue
                            number: 12
                            @attributes: 
                                type: artNo
                            number: 886
            physicalDescription: 
                form: print
            typeOfResource: text