Experimental and numerical study of the motion of non-spherical particles in wall-bounded turbulent flows
This book compiles the obtained results in the research project entitled “Estudio Experimental y Modelización del Movimiento de Partículas no Esféricas en un Flujo Turbulento y su Interacción con Paredes Sólidas” developed jointly by the Grupo de Investigación en Mecánica de Fluidos FMRG de la Unive...
- Autores:
-
Laín Beatove, Santiago
Sommerfeld, Martín
- Tipo de recurso:
- Book
- Fecha de publicación:
- 2007
- Institución:
- Universidad Autónoma de Occidente
- Repositorio:
- RED: Repositorio Educativo Digital UAO
- Idioma:
- spa
- OAI Identifier:
- oai:red.uao.edu.co:10614/9043
- Acceso en línea:
- http://hdl.handle.net/10614/9043
- Palabra clave:
- Mecánica de fluidos
Fluid mechanics
Simulación en mecánica de fluidos
Modelos matemáticos en mecánica de fluidos
- Rights
- openAccess
- License
- Derechos Reservados - Universidad Autónoma de Occidente
id |
REPOUAO2_acdd3de9e2e545baaf842bf2e47c8e09 |
---|---|
oai_identifier_str |
oai:red.uao.edu.co:10614/9043 |
network_acronym_str |
REPOUAO2 |
network_name_str |
RED: Repositorio Educativo Digital UAO |
repository_id_str |
|
dc.title.spa.fl_str_mv |
Experimental and numerical study of the motion of non-spherical particles in wall-bounded turbulent flows |
title |
Experimental and numerical study of the motion of non-spherical particles in wall-bounded turbulent flows |
spellingShingle |
Experimental and numerical study of the motion of non-spherical particles in wall-bounded turbulent flows Mecánica de fluidos Fluid mechanics Simulación en mecánica de fluidos Modelos matemáticos en mecánica de fluidos |
title_short |
Experimental and numerical study of the motion of non-spherical particles in wall-bounded turbulent flows |
title_full |
Experimental and numerical study of the motion of non-spherical particles in wall-bounded turbulent flows |
title_fullStr |
Experimental and numerical study of the motion of non-spherical particles in wall-bounded turbulent flows |
title_full_unstemmed |
Experimental and numerical study of the motion of non-spherical particles in wall-bounded turbulent flows |
title_sort |
Experimental and numerical study of the motion of non-spherical particles in wall-bounded turbulent flows |
dc.creator.fl_str_mv |
Laín Beatove, Santiago Sommerfeld, Martín |
dc.contributor.author.none.fl_str_mv |
Laín Beatove, Santiago |
dc.contributor.author.spa.fl_str_mv |
Sommerfeld, Martín |
dc.subject.armarc.spa.fl_str_mv |
Mecánica de fluidos |
topic |
Mecánica de fluidos Fluid mechanics Simulación en mecánica de fluidos Modelos matemáticos en mecánica de fluidos |
dc.subject.armarc.eng.fl_str_mv |
Fluid mechanics |
dc.subject.proposal.spa.fl_str_mv |
Simulación en mecánica de fluidos |
dc.subject.proposal.eng.fl_str_mv |
Modelos matemáticos en mecánica de fluidos |
description |
This book compiles the obtained results in the research project entitled “Estudio Experimental y Modelización del Movimiento de Partículas no Esféricas en un Flujo Turbulento y su Interacción con Paredes Sólidas” developed jointly by the Grupo de Investigación en Mecánica de Fluidos FMRG de la Universidad Autónoma de Occidente, Cali (Colombia) and the chair of Mechanical Processes of the Zentrum für Ingenieurwissenschaten of Martin-Luther Universität Halle- Wittenberg (Germany). The financial support of the Dirección de Investigaciones y Desarrollo Tecnológico of the Universidad Autónoma de Occidente through the project “Estudio Experimental y Modelización del Movimiento de Partículas no Esféricas en un Flujo Turbulento y su Interacción con Paredes Sólidas” is gratefully acknowledged. Also, it is necessary to acknowledge the support of the Deutsche Forschung Gemeinschaft through the contracts So 204/1-2 and the worth collaboration of Dr. J. Kussin and Eng. A. Hölzer |
publishDate |
2007 |
dc.date.issued.spa.fl_str_mv |
2007-10 |
dc.date.accessioned.spa.fl_str_mv |
2016-08-12T17:01:19Z |
dc.date.available.spa.fl_str_mv |
2016-08-12T17:01:19Z |
dc.type.spa.fl_str_mv |
Libro |
dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_2f33 |
dc.type.content.spa.fl_str_mv |
Text |
dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/book |
dc.type.redcol.spa.fl_str_mv |
https://purl.org/redcol/resource_type/LIB |
dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
http://purl.org/coar/resource_type/c_2f33 |
status_str |
publishedVersion |
dc.identifier.isbn.spa.fl_str_mv |
9789588122588 |
dc.identifier.uri.spa.fl_str_mv |
http://hdl.handle.net/10614/9043 |
identifier_str_mv |
9789588122588 |
url |
http://hdl.handle.net/10614/9043 |
dc.language.iso.spa.fl_str_mv |
spa |
language |
spa |
dc.relation.cites.none.fl_str_mv |
Laín Beatove, S.; Sommerfeld, M. (2007). Experimental and numerical study of the motion of non-spherical particles in wall-bounded turbulent flows. Universidad Autónoma de Occidente. http://hdl.handle.net/10614/9043 |
dc.relation.references.none.fl_str_mv |
Basset, A.B., On the motion of a sphere in a viscous liquid. Phil. Trans. Roy. Soc., Vol. A179, 43-69 (1888). Brenner, H., The Stokes resistance of an arbitrary particle (I). Chemical Engineering Science, Vol. 18, 1-25 (1963) Chen, H., Chen, S. and Matthaeus, W.H., Recovery of the Navier-Stokes equations using a latticegas Boltzmann method. Physical Review A Vol. 45, 5339-5342 (1992) Comer, J. K. and Kleinstreuer, C., A numerical investigation of laminar flow past nonspherical solids and droplets, Trans. ASME Vol. 117, pp. 170-175 (1995). Elghobashi, S., On predicting particle-laden turbulent flows. Proc. 7th Workshop on Two- Phase Flow Predictions (Ed. M. Sommerfeld) (1994). Fan, F.G. and Ahmadi, G., Dispersion of ellipsoidal particles in an isotropic pseudoturbulent flow field. Trans. ASME, J. Fluids Eng., Vol. 117, 154-161 (1995) Ganser, G. H., A rational approach to drag prediction of spherical and nonspherical particles. Powder Technology, Vol. 77, 143-152 (1993). Haider, A. and Levenspiel, O., Drag coefficient and terminal velocity of spherical and nonspherical particles. Powder Technology, Vol. 58, 63-70 (1989) Hardy, J., de Pazzis, O. and Pomeau, Y., Molecular dynamics of a classical lattice gas: Transport properties and time correlation functions. Physical Review A Vol. 13, 1949-1961 (1976). Henthorn, K. H., Park, K. and Curtis J. S., Measurement and prediction of pressure drop in pneumatic conveying: Effect of particle characteristics, mass loading, and Reynolds number. Industrial and Engineering Chemistry Research, Vol. 44, 5090-5098 (2005) Hussain, A.K.M.F. and Reynolds, W.C., Measurements in fully developed turbulent channel flow. J. Fluids Eng. Vol. 97, 568–580 (1975) Jeffery, G., The motion of ellipsoidal particles immersed in a viscous fluid. Proceedings of the Royal Society, Vol. 102A, 161-179 (1922) Kohnen, G., Rüger, M. and Sommerfeld, M., Convergence behaviour for numerical calculations by the Euler/Lagrange method for strongly coup Losenno, C. and Easson, W. J., Free- falling of irregular particles. 4th Int. Conference of Multiphase Flow, New Orleans, ICMF 2001. Maxey, M. R., On the advection of spherical and nonspherical particles in a non-uniform flow, Phil. Trans. Roy. Soc. A Vol. 333, 289-307 (1990) Milojevic, D., Lagrangian stochastic-deterministic (LSD) prediction of particle dispersion in turbulence. Part Part Syst Charact Vol. 7, 181–190 (1990). Milojevic, D., Lagrangian stochastic-deterministic (LSD) prediction of particle dispersion in turbulence. Part Part Syst Charact Vol. 7, 181–190 (1990). Olson, J. A ., The motion of fibres in turbulent flow, stochastic simulation of isotropic homogeneous turbulence, Int. J. Multiphase Flow Vol. 27, 2083-2103 (2001). Qian, Y.H., D’Humieres, D. and Lallemand, P., Lattice BGK Models for Navier-Stokes equation. Europhysics Letters Vol. 17, 479-484 (1992) Rosendahl, L.A., Extending the modelling framework for gas-particle systems: Application of multiparameter shape descriptions to non-conventional solid fuels in reacting and non-reacting environment. Ph. D. Thesis, Institute of Energy Technology, Aalborg University, Denmark (1998). Sommerfeld, M., Modellierung und numerische Berechnung von partikel-beladenen turbulenten Strömungen mit Hilfe des Euler/Lagrange-Verfahrens. Habilitationsschrift, Universität ErlangenNürnberg, Shaker Verlag, Aachen (1996). Swamee, P.K. and Ojha, C.A.P., Drag coefficient and fall velocity of nonspherical particles. J. of Hydraulic Engineering, Vol. 117, 660-667 (1991) Tchen C.M.. Mean value and correlation problems connected with the motion of small particles suspended in a turbulent fluid. Dissertation Technische Hochschule Delft, Martinus Nijhoff, The Hague (1947). Willmarth, W. W., Hawk, N. E. and Harvey, R. L., Steady and unsteady motions and wakes of freely falling disks. Physics of Fluids, Vol. 7, 197-208 (1964) Zhang, Zh. and Ziada, S., PDA measurements of droplet size and mass flux in the three-dimensional atomisation region of water jet in air cross-flow. Exp. Fluids Vol. 28, 29–35 (2000). |
dc.rights.spa.fl_str_mv |
Derechos Reservados - Universidad Autónoma de Occidente |
dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
dc.rights.uri.spa.fl_str_mv |
https://creativecommons.org/licenses/by-nc/4.0/ |
dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
dc.rights.creativecommons.spa.fl_str_mv |
Atribución-NoComercial 4.0 Internacional (CC BY-NC 4.0) |
rights_invalid_str_mv |
Derechos Reservados - Universidad Autónoma de Occidente https://creativecommons.org/licenses/by-nc/4.0/ Atribución-NoComercial 4.0 Internacional (CC BY-NC 4.0) http://purl.org/coar/access_right/c_abf2 |
eu_rights_str_mv |
openAccess |
dc.format.spa.fl_str_mv |
application/pdf |
dc.format.extent.none.fl_str_mv |
104 páginas |
dc.coverage.spatial.spa.fl_str_mv |
Universidad Autónoma de Occidente. Calle 25 115-85. Km 2 vía Cali-Jamundí |
dc.publisher.spa.fl_str_mv |
Universidad Autónoma de Occidente |
dc.source.spa.fl_str_mv |
instname:Universidad Autónoma de Occidente reponame:Repositorio Institucional UAO |
instname_str |
Universidad Autónoma de Occidente |
institution |
Universidad Autónoma de Occidente |
reponame_str |
Repositorio Institucional UAO |
collection |
Repositorio Institucional UAO |
bitstream.url.fl_str_mv |
https://red.uao.edu.co/bitstreams/4658311c-0f38-47ea-ad36-b2dac2f075de/download https://red.uao.edu.co/bitstreams/acee1da6-466b-401f-90fa-c33703145669/download https://red.uao.edu.co/bitstreams/aa26a2e5-8b89-4cf1-a5f2-f6a647d00e21/download https://red.uao.edu.co/bitstreams/9d650ebd-cda8-49e4-a8b7-6f6b24a4a1c5/download |
bitstream.checksum.fl_str_mv |
4f99dc35bc9a39f88857f64ed20f6fe7 3b7d3526b988807b863c3edcc98f0cf2 7470fd42dab1df22934177ff26ecd69b 8a4605be74aa9ea9d79846c1fba20a33 |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 |
repository.name.fl_str_mv |
Repositorio Digital Universidad Autonoma de Occidente |
repository.mail.fl_str_mv |
repositorio@uao.edu.co |
_version_ |
1814260036325605376 |
spelling |
Laín Beatove, Santiagovirtual::2575-1Sommerfeld, Martín584f85f313767d3025329c2e43274122Universidad Autónoma de Occidente. Calle 25 115-85. Km 2 vía Cali-Jamundí2016-08-12T17:01:19Z2016-08-12T17:01:19Z2007-109789588122588http://hdl.handle.net/10614/9043This book compiles the obtained results in the research project entitled “Estudio Experimental y Modelización del Movimiento de Partículas no Esféricas en un Flujo Turbulento y su Interacción con Paredes Sólidas” developed jointly by the Grupo de Investigación en Mecánica de Fluidos FMRG de la Universidad Autónoma de Occidente, Cali (Colombia) and the chair of Mechanical Processes of the Zentrum für Ingenieurwissenschaten of Martin-Luther Universität Halle- Wittenberg (Germany). The financial support of the Dirección de Investigaciones y Desarrollo Tecnológico of the Universidad Autónoma de Occidente through the project “Estudio Experimental y Modelización del Movimiento de Partículas no Esféricas en un Flujo Turbulento y su Interacción con Paredes Sólidas” is gratefully acknowledged. Also, it is necessary to acknowledge the support of the Deutsche Forschung Gemeinschaft through the contracts So 204/1-2 and the worth collaboration of Dr. J. Kussin and Eng. A. HölzerParticle dynamics. Experimental Studies. Kinematic simulations. Forces on non-spherical particles by lattice-boltzmann method. Numerical simulation of pneumatic conveying of non-spherical particles in a horizontal channelapplication/pdf104 páginasspaUniversidad Autónoma de OccidenteDerechos Reservados - Universidad Autónoma de Occidentehttps://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)http://purl.org/coar/access_right/c_abf2instname:Universidad Autónoma de Occidentereponame:Repositorio Institucional UAOExperimental and numerical study of the motion of non-spherical particles in wall-bounded turbulent flowsLibrohttp://purl.org/coar/resource_type/c_2f33Textinfo:eu-repo/semantics/bookhttps://purl.org/redcol/resource_type/LIBinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Mecánica de fluidosFluid mechanicsSimulación en mecánica de fluidosModelos matemáticos en mecánica de fluidosLaín Beatove, S.; Sommerfeld, M. (2007). Experimental and numerical study of the motion of non-spherical particles in wall-bounded turbulent flows. Universidad Autónoma de Occidente. http://hdl.handle.net/10614/9043Basset, A.B., On the motion of a sphere in a viscous liquid. Phil. Trans. Roy. Soc., Vol. A179, 43-69 (1888).Brenner, H., The Stokes resistance of an arbitrary particle (I). Chemical Engineering Science, Vol. 18, 1-25 (1963)Chen, H., Chen, S. and Matthaeus, W.H., Recovery of the Navier-Stokes equations using a latticegas Boltzmann method. Physical Review A Vol. 45, 5339-5342 (1992)Comer, J. K. and Kleinstreuer, C., A numerical investigation of laminar flow past nonspherical solids and droplets, Trans. ASME Vol. 117, pp. 170-175 (1995).Elghobashi, S., On predicting particle-laden turbulent flows. Proc. 7th Workshop on Two- Phase Flow Predictions (Ed. M. Sommerfeld) (1994).Fan, F.G. and Ahmadi, G., Dispersion of ellipsoidal particles in an isotropic pseudoturbulent flow field. Trans. ASME, J. Fluids Eng., Vol. 117, 154-161 (1995)Ganser, G. H., A rational approach to drag prediction of spherical and nonspherical particles. Powder Technology, Vol. 77, 143-152 (1993).Haider, A. and Levenspiel, O., Drag coefficient and terminal velocity of spherical and nonspherical particles. Powder Technology, Vol. 58, 63-70 (1989)Hardy, J., de Pazzis, O. and Pomeau, Y., Molecular dynamics of a classical lattice gas: Transport properties and time correlation functions. Physical Review A Vol. 13, 1949-1961 (1976).Henthorn, K. H., Park, K. and Curtis J. S., Measurement and prediction of pressure drop in pneumatic conveying: Effect of particle characteristics, mass loading, and Reynolds number. Industrial and Engineering Chemistry Research, Vol. 44, 5090-5098 (2005)Hussain, A.K.M.F. and Reynolds, W.C., Measurements in fully developed turbulent channel flow. J. Fluids Eng. Vol. 97, 568–580 (1975)Jeffery, G., The motion of ellipsoidal particles immersed in a viscous fluid. Proceedings of the Royal Society, Vol. 102A, 161-179 (1922)Kohnen, G., Rüger, M. and Sommerfeld, M., Convergence behaviour for numerical calculations by the Euler/Lagrange method for strongly coupLosenno, C. and Easson, W. J., Free- falling of irregular particles. 4th Int. Conference of Multiphase Flow, New Orleans, ICMF 2001.Maxey, M. R., On the advection of spherical and nonspherical particles in a non-uniform flow, Phil. Trans. Roy. Soc. A Vol. 333, 289-307 (1990)Milojevic, D., Lagrangian stochastic-deterministic (LSD) prediction of particle dispersion in turbulence. Part Part Syst Charact Vol. 7, 181–190 (1990).Milojevic, D., Lagrangian stochastic-deterministic (LSD) prediction of particle dispersion in turbulence. Part Part Syst Charact Vol. 7, 181–190 (1990).Olson, J. A ., The motion of fibres in turbulent flow, stochastic simulation of isotropic homogeneous turbulence, Int. J. Multiphase Flow Vol. 27, 2083-2103 (2001).Qian, Y.H., D’Humieres, D. and Lallemand, P., Lattice BGK Models for Navier-Stokes equation. Europhysics Letters Vol. 17, 479-484 (1992)Rosendahl, L.A., Extending the modelling framework for gas-particle systems: Application of multiparameter shape descriptions to non-conventional solid fuels in reacting and non-reacting environment. Ph. D. Thesis, Institute of Energy Technology, Aalborg University, Denmark (1998).Sommerfeld, M., Modellierung und numerische Berechnung von partikel-beladenen turbulenten Strömungen mit Hilfe des Euler/Lagrange-Verfahrens. Habilitationsschrift, Universität ErlangenNürnberg, Shaker Verlag, Aachen (1996).Swamee, P.K. and Ojha, C.A.P., Drag coefficient and fall velocity of nonspherical particles. J. of Hydraulic Engineering, Vol. 117, 660-667 (1991)Tchen C.M.. Mean value and correlation problems connected with the motion of small particles suspended in a turbulent fluid. Dissertation Technische Hochschule Delft, Martinus Nijhoff, The Hague (1947).Willmarth, W. W., Hawk, N. E. and Harvey, R. L., Steady and unsteady motions and wakes of freely falling disks. Physics of Fluids, Vol. 7, 197-208 (1964)Zhang, Zh. and Ziada, S., PDA measurements of droplet size and mass flux in the three-dimensional atomisation region of water jet in air cross-flow. Exp. Fluids Vol. 28, 29–35 (2000).Publication082b0926-3385-4188-9c6a-bbbed7484a95virtual::2575-1082b0926-3385-4188-9c6a-bbbed7484a95virtual::2575-1https://scholar.google.com/citations?user=g-iBdUkAAAAJ&hl=esvirtual::2575-10000-0002-0269-2608virtual::2575-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000262129virtual::2575-1TEXTL0017.pdf.txtL0017.pdf.txtExtracted texttext/plain151570https://red.uao.edu.co/bitstreams/4658311c-0f38-47ea-ad36-b2dac2f075de/download4f99dc35bc9a39f88857f64ed20f6fe7MD53THUMBNAILL0017.pdf.jpgL0017.pdf.jpgGenerated Thumbnailimage/jpeg6136https://red.uao.edu.co/bitstreams/acee1da6-466b-401f-90fa-c33703145669/download3b7d3526b988807b863c3edcc98f0cf2MD54ORIGINALL0017.pdfL0017.pdfapplication/pdf2902240https://red.uao.edu.co/bitstreams/aa26a2e5-8b89-4cf1-a5f2-f6a647d00e21/download7470fd42dab1df22934177ff26ecd69bMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://red.uao.edu.co/bitstreams/9d650ebd-cda8-49e4-a8b7-6f6b24a4a1c5/download8a4605be74aa9ea9d79846c1fba20a33MD5210614/9043oai:red.uao.edu.co:10614/90432024-03-06 16:49:25.585https://creativecommons.org/licenses/by-nc/4.0/Derechos Reservados - Universidad Autónoma de Occidenteopen.accesshttps://red.uao.edu.coRepositorio Digital Universidad Autonoma de Occidenterepositorio@uao.edu.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 |