Skip to main content

2016 | OriginalPaper | Buchkapitel

Equations to Determine Energy Losses in Sudden and Gradual Change of Direction

verfasst von : J. J. Villegas-León, A. A. López-Lambraño, J. G. Morales-Nava, M. Pliego-Díaz, C. Fuentes, A. López-Ramos

Erschienen in: Recent Advances in Fluid Dynamics with Environmental Applications

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Equations to estimate the K coefficient have been obtained for devices of change direction of ducts under forced regime. For this approach, a state of art was carried out where it was noticed that the traditionally utilized methods that evaluate the losses of the devices needed tables and/or graphics when estimating the K coefficient, which is singular to each accessory. Each theory was analyzed and classified accordingly to each piece whenever these are present in sudden or gradual conditions. The data was homogenized with the purpose to obtain average curves values of the coefficient. The results were used as data in methods of multiple linear regressions until obtain a representative equation for each case studied. These equations have the advantage of being reliable to determine the loss of K coefficient without having to manipulate tables and graphics; this allows saving time when designing and testing the hydraulic behavior in forced ducts. Finally, these equations can be implemented in advanced computational algorithms which will allow the analysis and modeling of the losses caused by friction in different scenarios.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Acero, MF, Rodríguez, D (2008) Determinación experimental del coeficiente de pérdidas menores km en accesorios de agua potable de PVC. In: XVIII seminario nacional de hidráulica e hidrología, sociedad colombiana de ingenieros, Bogotá, D.C. 22–24 de mayo de Acero, MF, Rodríguez, D (2008) Determinación experimental del coeficiente de pérdidas menores km en accesorios de agua potable de PVC. In: XVIII seminario nacional de hidráulica e hidrología, sociedad colombiana de ingenieros, Bogotá, D.C. 22–24 de mayo de
Zurück zum Zitat Anaya-Durand AI, Cauich-Segovia GI, Funabazama-Bárcenas O, Gracia-Medrano-Bravo VA (2014) Evaluación de ecuaciones de factor de fricción explícito para tuberías. Rev Mexicana Ing Química 25:128–134 Anaya-Durand AI, Cauich-Segovia GI, Funabazama-Bárcenas O, Gracia-Medrano-Bravo VA (2014) Evaluación de ecuaciones de factor de fricción explícito para tuberías. Rev Mexicana Ing Química 25:128–134
Zurück zum Zitat Bae Y, Kim Y (2014) Prediction of local loss coefficient for turbulent flow in axisymmetric sudden expansions with a chamfer: effect of Reynolds number. J. Ann Nucl Energy 73:33–38CrossRef Bae Y, Kim Y (2014) Prediction of local loss coefficient for turbulent flow in axisymmetric sudden expansions with a chamfer: effect of Reynolds number. J. Ann Nucl Energy 73:33–38CrossRef
Zurück zum Zitat Bariviera D, Frizzone JA, Rettore NO (2013) Dimensional analysis approach to estimate local head losses in microirrigation connectors. J Irrig Sci 32:169–179 Bariviera D, Frizzone JA, Rettore NO (2013) Dimensional analysis approach to estimate local head losses in microirrigation connectors. J Irrig Sci 32:169–179
Zurück zum Zitat CFE (1983) Conducciones a Presión, tomo 2.3, Hidrotecnia Comisión Federal de Electricidad, Instituto de Investigaciones Eléctricas, Manual de Obras Civiles CFE (1983) Conducciones a Presión, tomo 2.3, Hidrotecnia Comisión Federal de Electricidad, Instituto de Investigaciones Eléctricas, Manual de Obras Civiles
Zurück zum Zitat Csizmadia P, Hős C (2014) CFD-based estimation and experiments on the loss coefficient for Bingham and power-law fluids through diffusers and elbows. J Comput Fluids 99:116–123CrossRef Csizmadia P, Hős C (2014) CFD-based estimation and experiments on the loss coefficient for Bingham and power-law fluids through diffusers and elbows. J Comput Fluids 99:116–123CrossRef
Zurück zum Zitat Deniz Ulusarslan D (2010) Effect of diameter ratio on loss coefficient of elbows in the flow of low-density spherical capsule trains. Part Sci Technol Int J 28:348–359CrossRef Deniz Ulusarslan D (2010) Effect of diameter ratio on loss coefficient of elbows in the flow of low-density spherical capsule trains. Part Sci Technol Int J 28:348–359CrossRef
Zurück zum Zitat Di Maria F (2000) Design and off design pipe network geothermal power plant analysis with power pipe simulator. Energy Convers Manag 41:1223–1235CrossRef Di Maria F (2000) Design and off design pipe network geothermal power plant analysis with power pipe simulator. Energy Convers Manag 41:1223–1235CrossRef
Zurück zum Zitat Elbatran AH, Yaakob OB, Ahmeda YM, Shabara HM (2015) Operation, performance and economic analysis of low head micro-hydropower turbines for rural and remote areas: a review. Renew Sustain Energy Rev 43:40–50CrossRef Elbatran AH, Yaakob OB, Ahmeda YM, Shabara HM (2015) Operation, performance and economic analysis of low head micro-hydropower turbines for rural and remote areas: a review. Renew Sustain Energy Rev 43:40–50CrossRef
Zurück zum Zitat Fuentes OA, Rosales IL (2004) Estimación de pérdidas locales de energía e domiciliarias de agua potable. Rev Mexicana Ingeniería Hidráulica en México 19:65–73 Fuentes OA, Rosales IL (2004) Estimación de pérdidas locales de energía e domiciliarias de agua potable. Rev Mexicana Ingeniería Hidráulica en México 19:65–73
Zurück zum Zitat Gasljevic K, Matthys EF (2009) Friction and heat transfer in drag-reducing surfactant solution flow through curved pipes and elbows. Eur J Mech B/Fluids 28:641–650CrossRef Gasljevic K, Matthys EF (2009) Friction and heat transfer in drag-reducing surfactant solution flow through curved pipes and elbows. Eur J Mech B/Fluids 28:641–650CrossRef
Zurück zum Zitat Hellström LHO, Zlatinov MB, Cao G, Smits AJ (2013) Turbulent pipe flow downstream of a 90o bend. J Fluid Mech 735(R7):1–12 Hellström LHO, Zlatinov MB, Cao G, Smits AJ (2013) Turbulent pipe flow downstream of a 90o bend. J Fluid Mech 735(R7):1–12
Zurück zum Zitat Ji C, Zhang X, Jiang M, Yan P (2010) Numerical simulation of influence of 90°-bend pipeline geometric shape on local loss coefficient. In: 2010 International conference on mechanical and electrical technology (ICMET 2010), pp 668–672 Ji C, Zhang X, Jiang M, Yan P (2010) Numerical simulation of influence of 90°-bend pipeline geometric shape on local loss coefficient. In: 2010 International conference on mechanical and electrical technology (ICMET 2010), pp 668–672
Zurück zum Zitat Liu SH, Xue J, Fan M (2013) The calculation of mechanical energy loss for incompressible steady pipe flow of homogeneous fluid. J Hydrodyn 25:912–918CrossRef Liu SH, Xue J, Fan M (2013) The calculation of mechanical energy loss for incompressible steady pipe flow of homogeneous fluid. J Hydrodyn 25:912–918CrossRef
Zurück zum Zitat Miller DS (1978) Internal flow systems. BHRA (information services) Miller DS (1978) Internal flow systems. BHRA (information services)
Zurück zum Zitat Noorani A, El Khoury GK, Schlatter P (2013) Evolution of turbulence characteristics from straight to curved pipes. Int J Heat Fluid Flow 41:16–26CrossRef Noorani A, El Khoury GK, Schlatter P (2013) Evolution of turbulence characteristics from straight to curved pipes. Int J Heat Fluid Flow 41:16–26CrossRef
Zurück zum Zitat SARH (1984) Obras de Toma para Presas de Almacenamiento. Dirección General de Obras Hidráulicas y de Ingeniería Agrícola para el Desarrollo Rural, Distrito Federal, Mexico SARH (1984) Obras de Toma para Presas de Almacenamiento. Dirección General de Obras Hidráulicas y de Ingeniería Agrícola para el Desarrollo Rural, Distrito Federal, Mexico
Zurück zum Zitat Sesma J, Molina-Martínez JM, Cavas-Martínez F, Fernández-Pacheco DG (2015) A mobile application to calculate optimum drip irrigation laterals. Agric Water Manag 151:13–18CrossRef Sesma J, Molina-Martínez JM, Cavas-Martínez F, Fernández-Pacheco DG (2015) A mobile application to calculate optimum drip irrigation laterals. Agric Water Manag 151:13–18CrossRef
Zurück zum Zitat Shi H, Chen G, Wang Y, Chen X (2013) Ratcheting behavior of pressurized elbow pipe with local wall thinning. Int J Press Vessels Pip 102–103:14–23CrossRef Shi H, Chen G, Wang Y, Chen X (2013) Ratcheting behavior of pressurized elbow pipe with local wall thinning. Int J Press Vessels Pip 102–103:14–23CrossRef
Zurück zum Zitat Sotelo AG (2013) Hidráulica general, vol 1. LIMUSA Sotelo AG (2013) Hidráulica general, vol 1. LIMUSA
Zurück zum Zitat Streeter VL, Wylie EB, Bedford KB (2000) Mecánica de fluidos, 9th edn. Mc Graw-Hill International, SA Streeter VL, Wylie EB, Bedford KB (2000) Mecánica de fluidos, 9th edn. Mc Graw-Hill International, SA
Zurück zum Zitat USACE (1980) Engineering and design, hydraulic design of reservoir outlet department of the army. Corps of Engineers, USA USACE (1980) Engineering and design, hydraulic design of reservoir outlet department of the army. Corps of Engineers, USA
Zurück zum Zitat USBR (1985) Diseño de presas pequeñas, united states department of the interior, bureau of reclamation, 13th edn. Compañía Editorial Continental, SA de CV USBR (1985) Diseño de presas pequeñas, united states department of the interior, bureau of reclamation, 13th edn. Compañía Editorial Continental, SA de CV
Zurück zum Zitat Yildirim G, Singh VP (2010) A MathCAD procedure for commercial pipeline hydraulic design considering local energy losses. J. Adv Eng Softw 41:489–496CrossRef Yildirim G, Singh VP (2010) A MathCAD procedure for commercial pipeline hydraulic design considering local energy losses. J. Adv Eng Softw 41:489–496CrossRef
Metadaten
Titel
Equations to Determine Energy Losses in Sudden and Gradual Change of Direction
verfasst von
J. J. Villegas-León
A. A. López-Lambraño
J. G. Morales-Nava
M. Pliego-Díaz
C. Fuentes
A. López-Ramos
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-27965-7_33