Round turbulent buoyant jets discharged vertically upwards forming a regular polygon
The simplified partial differential equations of momentum and tracer for the mean motion are integrated on the reduced cross-sectional area within the field of one buoyant jet from a group issued vertically upwards from a rosette-type riser. The solutions yield the dimensionless centerline axial vel...
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Published in | Journal of hydraulic research Vol. 47; no. 2; pp. 263 - 274 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Delft
Taylor & Francis Group
01.01.2009
International Association for Hydraulic Research |
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Abstract | The simplified partial differential equations of momentum and tracer for the mean motion are integrated on the reduced cross-sectional area within the field of one buoyant jet from a group issued vertically upwards from a rosette-type riser. The solutions yield the dimensionless centerline axial velocities and concentrations. Mathematically, the one-jet field is separated from the entire group by employing the Entrainment Restriction Approach (ERA) applicable in interacting buoyant jets with symmetry planes. ERA was herein improved by incorporating the Second Order Approach (SOA). Interaction effects are highlighted by normalizing the mean-flow properties. The role of buoyancy on merging is introduced by a dynamic parameter, which combines proximity effects with buoyancy, thus termed dynamic proximity number. In addition, the distributions for mean dilution, kinetic energy flux and local Richardson number are also predicted, discussed, and compared with data reported in the literature. Findings may be useful for design purposes and environmental impact assessment. |
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AbstractList | The simplified partial differential equations of momentum and tracer for the mean motion are integrated on the reduced cross-sectional area within the field of one buoyant jet from a group issued vertically upwards from a rosette-type riser. The solutions yield the dimensionless centerline axial velocities and concentrations. Mathematically, the one-jet field is separated from the entire group by employing the Entrainment Restriction Approach (ERA) applicable in interacting buoyant jets with symmetry planes. ERA was herein improved by incorporating the Second Order Approach (SOA). Interaction effects are highlighted by normalizing the mean-flow properties. The role of buoyancy on merging is introduced by a dynamic parameter, which combines proximity effects with buoyancy, thus termed dynamic proximity number. In addition, the distributions for mean dilution, kinetic energy flux and local Richardson number are also predicted, discussed, and compared with data reported In the literature. Findings may be useful for design purposes and environmental impact assessment. |
Author | Yannopoulos, Panayotis C. Bloutsos, Aristeidis A. |
Author_xml | – sequence: 1 givenname: Aristeidis A. surname: Bloutsos fullname: Bloutsos, Aristeidis A. organization: Department of Civil Engineering , University of Patras – sequence: 2 givenname: Panayotis C. surname: Yannopoulos fullname: Yannopoulos, Panayotis C. organization: Department of Civil Engineering , University of Patras |
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CitedBy_id | crossref_primary_10_3390_pr10020213 crossref_primary_10_1155_2018_3058425 crossref_primary_10_1007_s10652_010_9173_0 crossref_primary_10_1017_jfm_2011_564 |
Cites_doi | 10.1080/00221680109499817 10.1061/(ASCE)0733-9429(1989)115:1(26) 10.1061/(ASCE)0733-9429(1992)118:1(38) 10.1080/00221688709499264 10.1080/00221689009499046 10.1017/S0022112002008157 10.1061/(ASCE)0733-9429(1998)124:6(565) 10.1080/00221686.2006.9521678 10.1080/00221689709498405 10.1080/00221680209499890 10.1061/(ASCE)0733-9429(1999)125:6(564) 10.1017/S0022112005007263 10.1061/(ASCE)0733-9429(1993)119:9(988) 10.1080/00221688809499225 10.1080/00221686.2008.9521897 10.1061/(ASCE)0733-9429(2002)128:2(151) 10.1029/95JD03609 10.1061/(ASCE)0733-9429(1993)119:9(970) 10.1061/(ASCE)0733-9429(1991)117:9(1113) 10.1061/(ASCE)0733-9429(1989)115:1(49) 10.1061/(ASCE)0733-9429(2007)133:2(173) 10.1061/(ASCE)0733-9429(2004)130:12(1137) 10.1061/(ASCE)0733-9372(1990)116:6(1085) 10.3402/tellusa.v4i3.8688 10.1061/(ASCE)0733-9429(1994)120:12(1409) 10.1061/(ASCE)0733-9429(1989)115:1(1) 10.1061/(ASCE)0733-9429(2004)130:12(1147) 10.1080/00221686.2006.9521677 10.1061/(ASCE)0733-9429(1983)109:2(199) 10.1061/(ASCE)0733-9429(1983)109:2(254) |
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Keywords | models entrainment restriction kinetic energy tracers Buoyant jet standardization concentration velocity buoyancy sea outfall mean flow properties multiport diffuser integral model environment impact rosette-type riser dilution solution symmetry relief flow |
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References | CIT0030 CIT0010 CIT0032 Frick W. E. (CIT0007) 2001 CIT0031 Cheung S. K. B. (CIT0005) 2000 CIT0012 CIT0034 CIT0033 Briggs G. A. (CIT0003) 1975 Lee J. H. W. (CIT0011) 2000 Bloutsos A. A. (CIT0002) 2007 Wang H. (CIT0028) 2002; 459 CIT0014 CIT0036 CIT0013 CIT0035 CIT0016 CIT0015 CIT0018 CIT0017 CIT0019 CIT0021 CIT0020 CIT0023 CIT0022 Albertson M. L. (CIT0001) 1950; 115 CIT0025 CIT0024 CIT0027 CIT0004 CIT0026 CIT0029 CIT0006 CIT0009 CIT0008 |
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SubjectTerms | Buoyant jet Earth sciences Earth, ocean, space entrainment restriction Exact sciences and technology Hydrology. Hydrogeology integral model mean flow properties multiport diffuser rosette-type riser sea outfall |
Title | Round turbulent buoyant jets discharged vertically upwards forming a regular polygon |
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