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Uticaj podvodnih kaskada na raspored protoka količine kretanja na ušću i vrednosti parametara u linijskim modelima ušća

Effect of bed elevation discordance on momentum-flux from tributary flow and parameter values in 1D confluence models

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Rad se nalazi na intenet stranic časopisa Vodoprivreda http://www.vodoprivreda.net/wp-content/uploads/2017/03/04-Dejana-Djordjevic-i-IvanStojnic.pdf (813.2Kb)
Authors
Đorđević, Dejana
Stojnić, Ivan
Article (Published version)
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Abstract
Hidrografska merenja na ušćima aluvijalnih i planinskih vodotoka pokazala su da je podvodna kaskada na spoju pritoke sa rekom uobičajena pojava, kao i to da može postojati i u koritu matične reke na spoju sa pritokom. Cilj ovog rada je da ispita kako položaj i visina kaskade utiču na doprinos pritoke dinamičkoj jednačini u linijskim modelima ušća. Pomoću modela prostornog tečenja utvrđeni su rasporedi ugla skretanja toka i protoka količine kretanja u nizvodnom preseku pritoke za tri stepena izdignutosti dna pritoke, odnosno reke ΔzP / hn = {0,10; 0,25; 0,50} i ΔzR / hn = {0,10; 0,25; 0,50} gde su ΔzP i ΔzR visine kaskada u pritoci i reci, a hn dubina vode u reci na ušću, i tri moguća hidrološka scenarija DR = QR / Qn = {0,250; 0,583; 0,750}, gde su QR i Qn protoci u reci uzvodno i nizvodno od ušća. Na osnovu ovih rasporeda određeni su: komponenta sile inercije pritoke u pravcu osovine reke IPx i vrednosti parametara pomoću kojih se u linijskim modelima ušća obuhvata uticaj pritoke, a t...o su srednja vrednost ugla skretanja toka u nizvodnom preseku pritoke δ i σ – koeficijent neravnomernosti ovog ugla. Utvrđeno je da kaskada u pritoci i kaskada sa najvišim stepenom izdignutosti u reci smanjuju uticaj pritoke u dinamičkoj jednačini od 8% do čak 58%, dok kaskade u reci sa niskim i umerenim stepenom izdignutosti u zavisnosti od DR povećavaju njen doprinos za 15-30%. Pokazano je da Hagerov koeficijent σ nema konstantnu vrednost i da zavisi od oba prametra (DR i Δz / hn). Za svaku kaskadu određene su zavisnosti σ(DR).

Bathymetric surveys in confluences of both alluvial and mountaneous rivers have shown that a bed step at a tributary entrance to the confluence is a common morphological feature and that it may also develop in the main-river. Thus, this paper aims at studying how the presence of the bed step in either upstream channel and the extent of bed elevation discordance (i.e. bed step height) affect contribution of the tributary flow to the 1Dmomentum equation. To this aim, a 3D model is used to find distributions of the flow angle and the momentum-flux in the downstream cross-section of the tributary under three possible scenarios in the confluence:DR= QR/ Qn = {0,250; 0,583; 0,750}, where QR and Qnare flow discharges in the main-river upstream and downstrem of the confluence. Effects of three extents of bed elevation discordance in both channels are analysed: ΔzP/ hn= {0,10; 0,25; 0,50} and ΔzR/ ...hn= {0,10; 0,25; 0,50},where ΔzP and ΔzR stand for bed step heights in the tributary and the main-river and hn stands for the flow depth in the main-river at the confluence. Distributions are used to calculate the component of the tributary force of inertia that acts in tha main-river direction IPx, and parameters of 1D confluence models that are used for its estimation, i.e. the mean cross-sectional flow angle δ and σ – the correction coefficient for this angle. It is found that the bed step in the tributary and the step with the heighest extent of bed elevation discordance in the river reduce contribution of the tributary flow to 1D momentum equation from 8% to 58%, while that in the main-river with low and moderate extent increase its contribution by 15-30% depending on the DR-value. It is also shown that the value of Hager’s correction coefficient σ is not constant. It rather depends on both parameters (DR and Δz / hn). In that respect the best-fitting curves σ(DR) are found for each cascade.

Keywords:
rečno ušće / river confluence / podvodna kaskada / bed step / protok količine kretanja / momentum-flux / parametri linijskih modela ušća / sila inercije pritoke / 1D confluence-model parameters / tributary force of inertia
Source:
Vodoprivreda, 2016, 48, 282-284, 167-179
Publisher:
  • Srpsko društvo za odvodnjavanje i navodnjavanje
Funding / projects:
  • Monitoring and Modeling of Rivers and Reservoirs (MORE) - Physical, Chemical, Biological and Morphodynamic Parameters (RS-37009)
  • Urban Drainage Systems as Key Infrastructure in Cities and Towns (RS-37010)

ISBN: 0350-0519

[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_grafar_1989
URI
https://grafar.grf.bg.ac.rs/handle/123456789/1989
Collections
  • Катедра за хидротехнику и водно-еколошко инжењерство
Institution/Community
GraFar
TY  - JOUR
AU  - Đorđević, Dejana
AU  - Stojnić, Ivan
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1989
AB  - Hidrografska merenja na ušćima aluvijalnih i planinskih vodotoka pokazala su da je podvodna kaskada na spoju pritoke sa rekom uobičajena pojava, kao i to da može postojati i u koritu matične reke na spoju sa pritokom. Cilj ovog rada je da ispita kako položaj i visina kaskade utiču na doprinos pritoke dinamičkoj jednačini u linijskim modelima ušća. Pomoću modela prostornog tečenja utvrđeni su rasporedi ugla skretanja toka i protoka količine kretanja u nizvodnom preseku pritoke za tri stepena izdignutosti dna pritoke, odnosno reke ΔzP / hn = {0,10; 0,25; 0,50} i ΔzR / hn = {0,10; 0,25; 0,50} gde su ΔzP i ΔzR visine kaskada u pritoci i reci, a hn dubina vode u reci na ušću, i tri moguća hidrološka scenarija DR = QR / Qn = {0,250; 0,583; 0,750}, gde su QR i Qn protoci u reci uzvodno i nizvodno od ušća. Na osnovu ovih rasporeda određeni su: komponenta sile inercije pritoke u pravcu osovine reke IPx i vrednosti parametara pomoću kojih se u linijskim modelima ušća obuhvata uticaj pritoke, a to su srednja vrednost ugla skretanja toka u nizvodnom preseku pritoke δ i σ – koeficijent neravnomernosti ovog ugla. Utvrđeno je da kaskada u pritoci i kaskada sa najvišim stepenom izdignutosti u reci smanjuju uticaj pritoke u dinamičkoj jednačini od 8% do čak 58%, dok kaskade u reci sa niskim i umerenim stepenom izdignutosti u zavisnosti od DR povećavaju njen doprinos za 15-30%. Pokazano je da Hagerov koeficijent σ nema konstantnu vrednost i da zavisi od oba prametra (DR i Δz / hn). Za svaku kaskadu određene su zavisnosti σ(DR).
AB  - Bathymetric  surveys  in  confluences  of  both  alluvial  and  mountaneous  rivers  have  shown  that  a  bed  step  at  a  tributary   entrance   to   the   confluence   is   a   common   morphological  feature  and  that  it  may  also  develop  in  the  main-river.  Thus,  this  paper  aims  at  studying  how  the  presence  of  the  bed  step  in  either  upstream  channel  and the extent of bed elevation discordance (i.e. bed step height) affect contribution of the tributary flow to the 1Dmomentum equation. To this aim, a 3D model is used to find  distributions  of  the  flow  angle  and  the  momentum-flux  in  the  downstream  cross-section  of  the  tributary  under   three   possible   scenarios   in   the   confluence:DR= QR/ Qn = {0,250; 0,583; 0,750}, where QR and Qnare  flow  discharges  in  the  main-river  upstream  and  downstrem of the confluence. Effects of three extents of bed elevation discordance in both channels are analysed: ΔzP/ hn= {0,10; 0,25; 0,50} and ΔzR/ hn= {0,10; 0,25; 0,50},where ΔzP  and ΔzR  stand  for  bed  step  heights  in  the  tributary  and  the  main-river and hn  stands for the flow depth in the main-river at the confluence. Distributions are  used  to  calculate  the  component  of  the  tributary  force of inertia that acts in tha main-river direction IPx, and  parameters  of  1D  confluence  models  that  are  used  for  its  estimation,  i.e.  the  mean  cross-sectional  flow  angle δ and σ – the correction coefficient for this angle. It is found that the bed step in the tributary and the step with the heighest extent of bed elevation discordance in the river reduce contribution of the tributary flow to 1D momentum  equation  from  8%  to  58%,  while  that  in  the  main-river  with  low  and  moderate  extent  increase  its  contribution  by  15-30%  depending  on  the  DR-value.  It  is  also   shown   that   the   value   of   Hager’s   correction coefficient σ  is  not  constant.  It  rather  depends  on  both  parameters  (DR  and Δz / hn).  In  that  respect  the  best-fitting curves σ(DR) are found for each cascade.
PB  - Srpsko društvo za odvodnjavanje i navodnjavanje
T2  - Vodoprivreda
T1  - Uticaj podvodnih kaskada na raspored protoka količine kretanja na ušću i vrednosti parametara u linijskim modelima ušća
T1  - Effect of bed elevation discordance on momentum-flux from tributary flow and parameter values in 1D confluence models
EP  - 179
IS  - 282-284
SP  - 167
VL  - 48
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1989
ER  - 
@article{
author = "Đorđević, Dejana and Stojnić, Ivan",
year = "2016",
abstract = "Hidrografska merenja na ušćima aluvijalnih i planinskih vodotoka pokazala su da je podvodna kaskada na spoju pritoke sa rekom uobičajena pojava, kao i to da može postojati i u koritu matične reke na spoju sa pritokom. Cilj ovog rada je da ispita kako položaj i visina kaskade utiču na doprinos pritoke dinamičkoj jednačini u linijskim modelima ušća. Pomoću modela prostornog tečenja utvrđeni su rasporedi ugla skretanja toka i protoka količine kretanja u nizvodnom preseku pritoke za tri stepena izdignutosti dna pritoke, odnosno reke ΔzP / hn = {0,10; 0,25; 0,50} i ΔzR / hn = {0,10; 0,25; 0,50} gde su ΔzP i ΔzR visine kaskada u pritoci i reci, a hn dubina vode u reci na ušću, i tri moguća hidrološka scenarija DR = QR / Qn = {0,250; 0,583; 0,750}, gde su QR i Qn protoci u reci uzvodno i nizvodno od ušća. Na osnovu ovih rasporeda određeni su: komponenta sile inercije pritoke u pravcu osovine reke IPx i vrednosti parametara pomoću kojih se u linijskim modelima ušća obuhvata uticaj pritoke, a to su srednja vrednost ugla skretanja toka u nizvodnom preseku pritoke δ i σ – koeficijent neravnomernosti ovog ugla. Utvrđeno je da kaskada u pritoci i kaskada sa najvišim stepenom izdignutosti u reci smanjuju uticaj pritoke u dinamičkoj jednačini od 8% do čak 58%, dok kaskade u reci sa niskim i umerenim stepenom izdignutosti u zavisnosti od DR povećavaju njen doprinos za 15-30%. Pokazano je da Hagerov koeficijent σ nema konstantnu vrednost i da zavisi od oba prametra (DR i Δz / hn). Za svaku kaskadu određene su zavisnosti σ(DR)., Bathymetric  surveys  in  confluences  of  both  alluvial  and  mountaneous  rivers  have  shown  that  a  bed  step  at  a  tributary   entrance   to   the   confluence   is   a   common   morphological  feature  and  that  it  may  also  develop  in  the  main-river.  Thus,  this  paper  aims  at  studying  how  the  presence  of  the  bed  step  in  either  upstream  channel  and the extent of bed elevation discordance (i.e. bed step height) affect contribution of the tributary flow to the 1Dmomentum equation. To this aim, a 3D model is used to find  distributions  of  the  flow  angle  and  the  momentum-flux  in  the  downstream  cross-section  of  the  tributary  under   three   possible   scenarios   in   the   confluence:DR= QR/ Qn = {0,250; 0,583; 0,750}, where QR and Qnare  flow  discharges  in  the  main-river  upstream  and  downstrem of the confluence. Effects of three extents of bed elevation discordance in both channels are analysed: ΔzP/ hn= {0,10; 0,25; 0,50} and ΔzR/ hn= {0,10; 0,25; 0,50},where ΔzP  and ΔzR  stand  for  bed  step  heights  in  the  tributary  and  the  main-river and hn  stands for the flow depth in the main-river at the confluence. Distributions are  used  to  calculate  the  component  of  the  tributary  force of inertia that acts in tha main-river direction IPx, and  parameters  of  1D  confluence  models  that  are  used  for  its  estimation,  i.e.  the  mean  cross-sectional  flow  angle δ and σ – the correction coefficient for this angle. It is found that the bed step in the tributary and the step with the heighest extent of bed elevation discordance in the river reduce contribution of the tributary flow to 1D momentum  equation  from  8%  to  58%,  while  that  in  the  main-river  with  low  and  moderate  extent  increase  its  contribution  by  15-30%  depending  on  the  DR-value.  It  is  also   shown   that   the   value   of   Hager’s   correction coefficient σ  is  not  constant.  It  rather  depends  on  both  parameters  (DR  and Δz / hn).  In  that  respect  the  best-fitting curves σ(DR) are found for each cascade.",
publisher = "Srpsko društvo za odvodnjavanje i navodnjavanje",
journal = "Vodoprivreda",
title = "Uticaj podvodnih kaskada na raspored protoka količine kretanja na ušću i vrednosti parametara u linijskim modelima ušća, Effect of bed elevation discordance on momentum-flux from tributary flow and parameter values in 1D confluence models",
pages = "179-167",
number = "282-284",
volume = "48",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1989"
}
Đorđević, D.,& Stojnić, I.. (2016). Uticaj podvodnih kaskada na raspored protoka količine kretanja na ušću i vrednosti parametara u linijskim modelima ušća. in Vodoprivreda
Srpsko društvo za odvodnjavanje i navodnjavanje., 48(282-284), 167-179.
https://hdl.handle.net/21.15107/rcub_grafar_1989
Đorđević D, Stojnić I. Uticaj podvodnih kaskada na raspored protoka količine kretanja na ušću i vrednosti parametara u linijskim modelima ušća. in Vodoprivreda. 2016;48(282-284):167-179.
https://hdl.handle.net/21.15107/rcub_grafar_1989 .
Đorđević, Dejana, Stojnić, Ivan, "Uticaj podvodnih kaskada na raspored protoka količine kretanja na ušću i vrednosti parametara u linijskim modelima ušća" in Vodoprivreda, 48, no. 282-284 (2016):167-179,
https://hdl.handle.net/21.15107/rcub_grafar_1989 .

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