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Erschienen in: Experiments in Fluids 2/2014

01.02.2014 | Research Article

Laminar vortex shedding behind a cooled circular cylinder

verfasst von: Zdeněk Trávníček, An-Bang Wang, Wen-Yun Tu

Erschienen in: Experiments in Fluids | Ausgabe 2/2014

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Abstract

This paper addresses the functional demonstration of a hot air flow generator driven by convective heat transfer and the airflow behind a cooled circular cylinder in cross flow in the low velocity range. The wake flow was investigated experimentally using flow visualization, hot-wire anemometry, and laser Doppler anemometry. An evaluation of the free-stream velocity from the vortex shedding frequency was derived for the isothermal and non-isothermal cases and demonstrated using simple stroboscope measurements. The results confirm that cylinder cooling destabilizes the wake flow in air, i.e., the laminar steady regime can be changed into the vortex shedding regime, and the vortex shedding frequency increases as the cylinder temperature decreases. This thermal effect of cylinder cooling is consistent with its counterpart, the known effect of flow stabilization by cylinder heating. The effective temperature and effective Reynolds number concept have been further quantitatively evaluated, and the extension of their validity to the case of cooled cylinders has been confirmed.

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Literatur
Zurück zum Zitat Bartsch HJ (1983) Matematické vzorce (Mathematical formulae). SNTL, Prague (in Czech) Bartsch HJ (1983) Matematické vzorce (Mathematical formulae). SNTL, Prague (in Czech)
Zurück zum Zitat Collis DC, Williams MJ (1959) Two-dimensional convection from heated wires at low Reynolds numbers. J Fluid Mech 6:357–384CrossRefMATH Collis DC, Williams MJ (1959) Two-dimensional convection from heated wires at low Reynolds numbers. J Fluid Mech 6:357–384CrossRefMATH
Zurück zum Zitat Cyrus V, Polanský J (2010) Numerical simulation of the flow pulsations origin in cascades of the rear blade rows in a gas turbine axial compressor using low calorific fuel. Trans ASME J Turbomach 132:031012-1–031012-11 Cyrus V, Polanský J (2010) Numerical simulation of the flow pulsations origin in cascades of the rear blade rows in a gas turbine axial compressor using low calorific fuel. Trans ASME J Turbomach 132:031012-1–031012-11
Zurück zum Zitat Dumouchel F, Lecordier JC, Paranthoën P (1998) The effective Reynolds number of a heated cylinder. Int J Heat Mass Transf 41:1787–1794CrossRef Dumouchel F, Lecordier JC, Paranthoën P (1998) The effective Reynolds number of a heated cylinder. Int J Heat Mass Transf 41:1787–1794CrossRef
Zurück zum Zitat Fedorchenko A, Trávníček Z, Wang AB (2007) On the effective temperature concept in the problem of laminar vortex shedding behind a heated circular cylinder. Phys Fluids 19(5):051701-1–051701-3CrossRef Fedorchenko A, Trávníček Z, Wang AB (2007) On the effective temperature concept in the problem of laminar vortex shedding behind a heated circular cylinder. Phys Fluids 19(5):051701-1–051701-3CrossRef
Zurück zum Zitat Fedorchenko AI, Maršík F, Trávníček Z (2011) On the effective temperature concept for liquid: paradox of the similarity? Int Commun Heat Mass Transf 38(7):852–854CrossRef Fedorchenko AI, Maršík F, Trávníček Z (2011) On the effective temperature concept for liquid: paradox of the similarity? Int Commun Heat Mass Transf 38(7):852–854CrossRef
Zurück zum Zitat Fey U, König M, Eckelmann H (1998) A new Strouhal–Reynolds-number relationship for the circular cylinder in the range 47 < Re < 2 × 105. Phys Fluids 10:1547–1549CrossRef Fey U, König M, Eckelmann H (1998) A new Strouhal–Reynolds-number relationship for the circular cylinder in the range 47 < Re < 2 × 105. Phys Fluids 10:1547–1549CrossRef
Zurück zum Zitat Goldstein RJ, Cho HH (1995) A review of mass transfer measurements using naphthalene sublimation. Exp Therm Fluid Sci 10:416–434CrossRef Goldstein RJ, Cho HH (1995) A review of mass transfer measurements using naphthalene sublimation. Exp Therm Fluid Sci 10:416–434CrossRef
Zurück zum Zitat Hammache M, Gharib M (1991) An experimental study of the parallel and oblique vortex shedding from circular cylinders. J Fluid Mech 232:567–590CrossRef Hammache M, Gharib M (1991) An experimental study of the parallel and oblique vortex shedding from circular cylinders. J Fluid Mech 232:567–590CrossRef
Zurück zum Zitat Hatton AP, James DD, Swire HW (1970) Combined forced and natural convection with low-speed air flow over horizontal cylinders. J Fluid Mech 42(1):17–31CrossRef Hatton AP, James DD, Swire HW (1970) Combined forced and natural convection with low-speed air flow over horizontal cylinders. J Fluid Mech 42(1):17–31CrossRef
Zurück zum Zitat König M, Eisenlohr H, Eckelmann H (1990) The fine structure in the Strouhal–Reynolds number relationship of the laminar wake of a circular cylinders. Phys Fluids A 2(9):1607–1614CrossRef König M, Eisenlohr H, Eckelmann H (1990) The fine structure in the Strouhal–Reynolds number relationship of the laminar wake of a circular cylinders. Phys Fluids A 2(9):1607–1614CrossRef
Zurück zum Zitat Kovasznay LSG (1949) Hot-wire investigation of the wake behind cylinders at low Reynolds numbers. Proc R Soc Lond Ser A 198:174–190CrossRef Kovasznay LSG (1949) Hot-wire investigation of the wake behind cylinders at low Reynolds numbers. Proc R Soc Lond Ser A 198:174–190CrossRef
Zurück zum Zitat Lecordier JC, Hamma L, Paranthoën P (1991) The control of vortex shedding behind heated circular cylinders at low Reynolds number. Exp Fluids 10:224–229CrossRef Lecordier JC, Hamma L, Paranthoën P (1991) The control of vortex shedding behind heated circular cylinders at low Reynolds number. Exp Fluids 10:224–229CrossRef
Zurück zum Zitat Lecordier JC, Dumouchel F, Paranthoën P (1999) Heat transfer in a Bénard–Kármán vortex street in air and in water. Int J Heat Mass Transf 42:3131–3136CrossRef Lecordier JC, Dumouchel F, Paranthoën P (1999) Heat transfer in a Bénard–Kármán vortex street in air and in water. Int J Heat Mass Transf 42:3131–3136CrossRef
Zurück zum Zitat Lecordier JC, Browne LWB, Le Masson S, Dumouchel F, Paranthoën P (2000) Control of vortex shedding by thermal effect at low Reynolds numbers. Exp Therm Fluid Sci 21:227–237CrossRef Lecordier JC, Browne LWB, Le Masson S, Dumouchel F, Paranthoën P (2000) Control of vortex shedding by thermal effect at low Reynolds numbers. Exp Therm Fluid Sci 21:227–237CrossRef
Zurück zum Zitat Maršík F, Trávníček Z, Yen RH, Tu WY, Wang AB (2008) St–Re–Pr relationship for a heated/cooled cylinder in laminar cross flow. In: Proceedings of the 4th international symposium on advances in computational heat transfer (CHT-08, CHT-08-115), Marrakech, Morocco, May 11–16 Maršík F, Trávníček Z, Yen RH, Tu WY, Wang AB (2008) St–Re–Pr relationship for a heated/cooled cylinder in laminar cross flow. In: Proceedings of the 4th international symposium on advances in computational heat transfer (CHT-08, CHT-08-115), Marrakech, Morocco, May 11–16
Zurück zum Zitat Morgan VT (1975) The overall convective heat transfer from smooth circular cylinders. Adv Heat Transf 11:199–264CrossRef Morgan VT (1975) The overall convective heat transfer from smooth circular cylinders. Adv Heat Transf 11:199–264CrossRef
Zurück zum Zitat Mueller TJ (1989) Smoke-wire method. In: Yang W-J (ed) Handbook of flow visualization, chap 7. Hemisphere, New York, pp 50–63 Mueller TJ (1989) Smoke-wire method. In: Yang W-J (ed) Handbook of flow visualization, chap 7. Hemisphere, New York, pp 50–63
Zurück zum Zitat Noto K (2008) Cooled vortex street generated by cooling a cylinder at low Reynolds number: effects of Reynolds number difference on cooled wake and cooled vortex street. Numer Heat Transf Part A 54:866–889CrossRef Noto K (2008) Cooled vortex street generated by cooling a cylinder at low Reynolds number: effects of Reynolds number difference on cooled wake and cooled vortex street. Numer Heat Transf Part A 54:866–889CrossRef
Zurück zum Zitat Noto K (2010) Cooled vortex street characteristics. Numer Heat Transf Part A 57:18–39CrossRef Noto K (2010) Cooled vortex street characteristics. Numer Heat Transf Part A 57:18–39CrossRef
Zurück zum Zitat Shi JM, Gerlach D, Breuer M, Biswas G, Durst F (2004) Heating effect on steady and unsteady horizontal laminar flow of air past a circular cylinder. Phys Fluids 16(12):4331–4345CrossRef Shi JM, Gerlach D, Breuer M, Biswas G, Durst F (2004) Heating effect on steady and unsteady horizontal laminar flow of air past a circular cylinder. Phys Fluids 16(12):4331–4345CrossRef
Zurück zum Zitat Tesař V (2007) Pressure-driven microfluidics. Artec House, Boston Tesař V (2007) Pressure-driven microfluidics. Artec House, Boston
Zurück zum Zitat Trávníček Z, Wang AB (2011) On the effective temperature and Reynolds number concept for a heated circular cylinder: commentary of the article by Baranyi et al. J Mech Sci Technol 25(8):1881–1884CrossRef Trávníček Z, Wang AB (2011) On the effective temperature and Reynolds number concept for a heated circular cylinder: commentary of the article by Baranyi et al. J Mech Sci Technol 25(8):1881–1884CrossRef
Zurück zum Zitat Trávníček Z, Wang AB, Maršík F (2002) Flow visualization of the laminar vortex shedding behind a cooled cylinder. In: CD proceedings of the international symposium on experimental mechanics (ISEM, C209), Taipei, Taiwan, December 28–30 Trávníček Z, Wang AB, Maršík F (2002) Flow visualization of the laminar vortex shedding behind a cooled cylinder. In: CD proceedings of the international symposium on experimental mechanics (ISEM, C209), Taipei, Taiwan, December 28–30
Zurück zum Zitat Tu WY (2005) A study on effective Reynolds number for wake characteristics of a cooled circular cylinder. Master thesis, National Taiwan University, Institute of Applied Mechanics, Taipei, Taiwan (in Chinese) Tu WY (2005) A study on effective Reynolds number for wake characteristics of a cooled circular cylinder. Master thesis, National Taiwan University, Institute of Applied Mechanics, Taipei, Taiwan (in Chinese)
Zurück zum Zitat Vít T, Ren M, Trávníček Z, Maršík F, Rindt CCM (2007) The influence of temperature field on the Strouhal-Reynolds number relationship for water and air. Exp Therm Fluid Sci 31(7):751–760CrossRef Vít T, Ren M, Trávníček Z, Maršík F, Rindt CCM (2007) The influence of temperature field on the Strouhal-Reynolds number relationship for water and air. Exp Therm Fluid Sci 31(7):751–760CrossRef
Zurück zum Zitat Wang AB, Trávníček Z (2001) On the linear heat transfer correlation of a heated circular cylinder in laminar cross flow by using a new representative temperature concept. Int J Heat Mass Transf 44(24):4635–4647CrossRef Wang AB, Trávníček Z (2001) On the linear heat transfer correlation of a heated circular cylinder in laminar cross flow by using a new representative temperature concept. Int J Heat Mass Transf 44(24):4635–4647CrossRef
Zurück zum Zitat Wang AB, Trávníček Z, Chia KC (2000) On the relationship of effective Reynolds number and Strouhal number for the laminar vortex shedding of a heated circular cylinder. Phys Fluids 12(6):1401–1410CrossRefMATH Wang AB, Trávníček Z, Chia KC (2000) On the relationship of effective Reynolds number and Strouhal number for the laminar vortex shedding of a heated circular cylinder. Phys Fluids 12(6):1401–1410CrossRefMATH
Zurück zum Zitat Wang AB, Wu MH, Wang YH, Lin IC, Chen CC, Lin S (2009) High-precision vortex flow meter. US patent 7,487,686 B2, 10 Feb 2009 Wang AB, Wu MH, Wang YH, Lin IC, Chen CC, Lin S (2009) High-precision vortex flow meter. US patent 7,487,686 B2, 10 Feb 2009
Zurück zum Zitat Williamson CHK (1989) Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers. J Fluid Mech 206:579–627CrossRef Williamson CHK (1989) Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers. J Fluid Mech 206:579–627CrossRef
Zurück zum Zitat Williamson CHK (1996) Vortex dynamics in the cylinder wake. Annu Rev Fluid Mech 28:477–539CrossRef Williamson CHK (1996) Vortex dynamics in the cylinder wake. Annu Rev Fluid Mech 28:477–539CrossRef
Zurück zum Zitat Williamson CHK, Brown GL (1998) A series in (1/\(\sqrt {Re}\)) to represent the Strouhal–Reynolds number relationship of the cylinder wake. J Fluids Struct 12:1073–1085 Williamson CHK, Brown GL (1998) A series in (1/\(\sqrt {Re}\)) to represent the Strouhal–Reynolds number relationship of the cylinder wake. J Fluids Struct 12:1073–1085
Zurück zum Zitat Wu MH, Trávníček Z, Wang AB (2012) The onset of oblique vortex shedding behind a heated circular cylinder in laminar wake regime. Phys Fluids 24:011701-1–011701-7 Wu MH, Trávníček Z, Wang AB (2012) The onset of oblique vortex shedding behind a heated circular cylinder in laminar wake regime. Phys Fluids 24:011701-1–011701-7
Zurück zum Zitat Yahagi Y (1998) Structure of two dimensional vortex behind a highly heated cylinder. Trans JSME B 64:209–215CrossRef Yahagi Y (1998) Structure of two dimensional vortex behind a highly heated cylinder. Trans JSME B 64:209–215CrossRef
Zurück zum Zitat Zdravkovich MM (1997) Flow around circular cylinders, vol 1. Oxford University Press, New YorkMATH Zdravkovich MM (1997) Flow around circular cylinders, vol 1. Oxford University Press, New YorkMATH
Zurück zum Zitat Zdravkovich MM (2003) Flow around circular cylinders, vol 2. Oxford University Press, New York Zdravkovich MM (2003) Flow around circular cylinders, vol 2. Oxford University Press, New York
Metadaten
Titel
Laminar vortex shedding behind a cooled circular cylinder
verfasst von
Zdeněk Trávníček
An-Bang Wang
Wen-Yun Tu
Publikationsdatum
01.02.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
Experiments in Fluids / Ausgabe 2/2014
Print ISSN: 0723-4864
Elektronische ISSN: 1432-1114
DOI
https://doi.org/10.1007/s00348-014-1679-7

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