Skip to main content

2015 | OriginalPaper | Buchkapitel

65. Effect on Wall Shear Rates of Taylor Vortex Instabilities Induced by Progressive Variation of the Inner Cylinder

verfasst von : Emna Berrich, Fethi Aloui, Jack Legrand

Erschienen in: Progress in Clean Energy, Volume 1

Verlag: Springer International Publishing

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

search-config
loading …

Abstract

Taylor–Couette flows are frequently reencountered on engineering processes, such as for cooling the rotors of electric motors by admitting cold air and improving the mixing in the combustion area, for the injection of fuel into the cylinders of gasoline engines, for the injection of just-prepared emulsions on diesel engines, etc. On its simplest configurations, Taylor–Couette systems (TCS) are widely studied when one or both cylinders steadily rotate. Limited studies are available as concerned on the acceleration-deceleration of one or both cylinders. This paper deals with the effect of acceleration-deceleration imposed to the inner cylinder of the CTS on flow instabilities. Imposing progressive periodic transitional motions through the cylindrical CTS walls alters the stability of the flow. The objective of this work is to study the flow dynamics and interactions between wall and vortices while imposing progressive periodic motions. We used the electrodiffusion (ED) method, known also as the polarography technique. The apparition and disappearance of the regime transitions, due to the acceleration-deceleration of the inner cylinder speed, on the frequency response of the ED sensor were illustrated and discussed. The regimes’ instabilities and the corresponding Taylor numbers of the first and the second transitions of TC flow were determined. The results show coherence between the temporal wall velocity gradient (determined from the mass transfer rates) and the flow turbulent characteristics, particularly at the transitions between the Couette flow (CF) regime, the wavy vortex flow (WVF), and the modulated wavy vortex flow (MWVF). Instantaneous mass transfer rate and velocity gradient have been compared for the CF, the WVF, and the MWVF regimes. The apparition of small then large vortices, when the Taylor number increases, i.e., from laminar regime to turbulent one, affects the mass transfer and the wall shear rate. Sensor inertia effect and a slight hysteresis effect, due to sudden periodic flow velocity decrease, were detected. The ED results allowed testing the robustness of the inverse method, based on the inversion of the convection-diffusion equation, on mass transfer to determine the wall shear rate.

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!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Beaudoin G, Jaffrin MY (1987) High efficiency plasmapheresis using rotating membrane device. Life Support Syst 5:273–278 Beaudoin G, Jaffrin MY (1987) High efficiency plasmapheresis using rotating membrane device. Life Support Syst 5:273–278
2.
Zurück zum Zitat Dluska E, Hubacz R, Wronski S (2006) Simple and multiple water fuel emulsions preparation in helical flow. Turkish J Eng Env Sci 30:175–182 Dluska E, Hubacz R, Wronski S (2006) Simple and multiple water fuel emulsions preparation in helical flow. Turkish J Eng Env Sci 30:175–182
3.
Zurück zum Zitat Dominguez-Lerma MA, Ahlers G, Cannel DS (1984) Marginal stability curve and linear growth rate for rotating Couette-Taylor flow and Rayleigh-Bernard convection. Phys Rev 27:856–860MATH Dominguez-Lerma MA, Ahlers G, Cannel DS (1984) Marginal stability curve and linear growth rate for rotating Couette-Taylor flow and Rayleigh-Bernard convection. Phys Rev 27:856–860MATH
4.
5.
Zurück zum Zitat Di Prima RC, Eagles PM, Ng BS (1984) Effect of radius ratio on the stability of Couette flow-Taylor vortex flow. Phys Fluids 27(10):2403–2411CrossRefMATH Di Prima RC, Eagles PM, Ng BS (1984) Effect of radius ratio on the stability of Couette flow-Taylor vortex flow. Phys Fluids 27(10):2403–2411CrossRefMATH
6.
Zurück zum Zitat Mehel A (2006) Etude expérimentale d’un écoulement diphasique de Couette-Taylor. Thèse de doctorat, Université de Nantes, Ecole Centrale de Nantes Mehel A (2006) Etude expérimentale d’un écoulement diphasique de Couette-Taylor. Thèse de doctorat, Université de Nantes, Ecole Centrale de Nantes
7.
Zurück zum Zitat Cognet G (1984) Les étapes vers la turbulence dans l'écoulement de Couette-Taylor entre cylindres coaxiaux. Journal de Mécanique Théorique et Appliquée, Numéro spécial, p 7–44 Cognet G (1984) Les étapes vers la turbulence dans l'écoulement de Couette-Taylor entre cylindres coaxiaux. Journal de Mécanique Théorique et Appliquée, Numéro spécial, p 7–44
8.
Zurück zum Zitat Cole JA (1976) Taylor-vortex instability and annulus-length effects. J Fluid Mech 75(part 1):1–15 Cole JA (1976) Taylor-vortex instability and annulus-length effects. J Fluid Mech 75(part 1):1–15
9.
Zurück zum Zitat Taylor GI (1923) Stability of a viscous liquid contained between two rotating cylinders, Series A, vol. 223. Philosophical Transaction of the Royal Society, London, p 289–343 Taylor GI (1923) Stability of a viscous liquid contained between two rotating cylinders, Series A, vol. 223. Philosophical Transaction of the Royal Society, London, p 289–343
10.
Zurück zum Zitat Ait Aider A (2008) Instabilities and transition to chaos in flows between concentric cylinders. Int J Chem React Eng 6:A98 Ait Aider A (2008) Instabilities and transition to chaos in flows between concentric cylinders. Int J Chem React Eng 6:A98
11.
Zurück zum Zitat Roberts PH (1965) The solution of the characteristic value problems. Proc R Soc Lond A 283:550–556 Roberts PH (1965) The solution of the characteristic value problems. Proc R Soc Lond A 283:550–556
12.
Zurück zum Zitat Park K, Gerard L, Donnelly RJ (1981) Determination of the transition in Couette flow in finite geometries. Phys Rev Lett 47:1448CrossRef Park K, Gerard L, Donnelly RJ (1981) Determination of the transition in Couette flow in finite geometries. Phys Rev Lett 47:1448CrossRef
13.
Zurück zum Zitat Burkhalter JE, Koschmider EL (1973) Steady supercritical Taylor vortex flow. J Fluid Mech 58:547CrossRef Burkhalter JE, Koschmider EL (1973) Steady supercritical Taylor vortex flow. J Fluid Mech 58:547CrossRef
14.
Zurück zum Zitat Burkhalter JE, Koschmider EL (1974) Steady supercritical Taylor vortices after sudden starts. Phys Fluids 17:1929CrossRef Burkhalter JE, Koschmider EL (1974) Steady supercritical Taylor vortices after sudden starts. Phys Fluids 17:1929CrossRef
15.
Zurück zum Zitat Ahlers G, Cannel DS, Dominguez-Lerma MA (1983) Possible mechanism for transitions in wavy Taylor-vortex flow. Phys Rev A27:1225CrossRef Ahlers G, Cannel DS, Dominguez-Lerma MA (1983) Possible mechanism for transitions in wavy Taylor-vortex flow. Phys Rev A27:1225CrossRef
16.
Zurück zum Zitat Hanratty TJ, Campbell JA (1983) Measurement of wall shear stress. In: Goldstein RJ (ed) Fluid mechanics measurements. Hemisphere, Washington Hanratty TJ, Campbell JA (1983) Measurement of wall shear stress. In: Goldstein RJ (ed) Fluid mechanics measurements. Hemisphere, Washington
17.
Zurück zum Zitat Sobolik V, Wein O, Cermak J (1987) Simultaneous measurement of film thickness and wall shear stress in wavy flow of non-Newtonian liquids. Collect Czechoslov Chem Commun 52:913–928CrossRef Sobolik V, Wein O, Cermak J (1987) Simultaneous measurement of film thickness and wall shear stress in wavy flow of non-Newtonian liquids. Collect Czechoslov Chem Commun 52:913–928CrossRef
18.
Zurück zum Zitat Rehimi F, Aloui F, Ben NS, Doubliez L, Legrand J (2006) Inverse method for electrochemical diagnostics of flows. Int J Heat Mass Transf 49:1242–1254CrossRefMATH Rehimi F, Aloui F, Ben NS, Doubliez L, Legrand J (2006) Inverse method for electrochemical diagnostics of flows. Int J Heat Mass Transf 49:1242–1254CrossRefMATH
19.
Zurück zum Zitat Legrand J, Coeuret F, Billon M (1983) Structure dynamique et transfert de matière liquide-paroi dans le cas de l'ecoulementlaminaire tourbillonnaire de Couette–Poiseuille. Int J Heat Mass Transf 26(7):1075–1085CrossRef Legrand J, Coeuret F, Billon M (1983) Structure dynamique et transfert de matière liquide-paroi dans le cas de l'ecoulementlaminaire tourbillonnaire de Couette–Poiseuille. Int J Heat Mass Transf 26(7):1075–1085CrossRef
20.
Zurück zum Zitat Sobolik V, Benabes B, Cognet G (1995) Study of Taylor–Couette flow using a three-segment electrodiffusion probe. J Appl Electrochem 25:441–449CrossRef Sobolik V, Benabes B, Cognet G (1995) Study of Taylor–Couette flow using a three-segment electrodiffusion probe. J Appl Electrochem 25:441–449CrossRef
21.
Zurück zum Zitat Sobolik V, Mitschka P, Menzel T (1986) Method of manufacture of segmented probe with circular cross-section. Czechoslov Pat AO, 262–823 Sobolik V, Mitschka P, Menzel T (1986) Method of manufacture of segmented probe with circular cross-section. Czechoslov Pat AO, 262–823
22.
Zurück zum Zitat Abcha N, Latrache N, Crumeyrolle O, Mutabazi I (2006) Application de la Vélocimétrie par Images de Particules “PIV” à l’étude des vortex de Taylor. Congrès Francophone de Techniques Laser, CFTL 2006, Toulouse, 19–22 septembre Abcha N, Latrache N, Crumeyrolle O, Mutabazi I (2006) Application de la Vélocimétrie par Images de Particules “PIV” à l’étude des vortex de Taylor. Congrès Francophone de Techniques Laser, CFTL 2006, Toulouse, 19–22 septembre
23.
Zurück zum Zitat Leveque MA (1928) Les lois de transmission de la chaleur par convection. Ann Min 13:381–412 Leveque MA (1928) Les lois de transmission de la chaleur par convection. Ann Min 13:381–412
Metadaten
Titel
Effect on Wall Shear Rates of Taylor Vortex Instabilities Induced by Progressive Variation of the Inner Cylinder
verfasst von
Emna Berrich
Fethi Aloui
Jack Legrand
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-16709-1_65