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NUMERICAL INVESTIGATION OF LAMINAR MIXED CONVECTION IN A SQUARE CROSS-SECTIONED CYLINDRICAL ANNULAR ENCLOSURE

Yıl 2020, Cilt: 6 Sayı: 1, 1 - 15, 06.01.2020

Osman Turan

https://doi.org/10.18186/thermal.670863
Cited By: 2

Öz

Steady-state laminar mixed convection of Newtonian fluids in a square cross-sectioned cylindrical annular enclosure with rotating inner wall and heated top cover has been numerically analysed based on axisymmetric incompressible flow simulations. Richardson number, Reynolds number and r_i/R effects on heat and momentum transport have been investigated for the range of Richardson number 0 ≤ Ri ≤ 1, Reynolds number 500 ≤ Re ≤ 2000 and 0.25≤r_i/R≤8 at a representative value of Prandtl number (i.e. Pr=1.0). A scaling analysis has been also carried out in order to elucidate the possible influences of Reynolds, Richardson and Prandtl numbers and r_i/R on the mean Nusselt number. It has been found that the mean Nusselt number (Nu) ̅ demonstrates a monotonically decreasing trend with increasing Ri whereas (Nu) ̅ increases with increasing r_i/R and Re which is consistent with scaling estimation. It is also observed that the flow pattern in the case of purely forced convection (i.e. Ri = 0) is significantly different from those in mixed convection (i.e. Ri> 0). In the case of Ri = 0 (i.e. purely forced convection), a one-cell flow structure with two small vortexes on the top corners is observed for r_i/R≤1, whereas a second cell appears in the flow field for r_i/R> 1 at Re = 1000. On the other hand, in the case of mixed convection (i.e. Ri> 0), two-cell and four-cell flow structures occur in the flow field depending on Ri and r_i/R for the range of Ri, Re and r_i/R considered here at Pr⁡=1.0. Based these observations, a flow regime diagram has been proposed here for mixed convection (i.e. Ri> 0) for the range of Ri, Re and r_i/R analysed in this study.

Anahtar Kelimeler

Mixed Convection Rotating Wall Richardson number Cylindrical Enclosure Annular Enclosure

Kaynakça

  • [1] Zandbergen PJ, Dikstra D. Von Karman swirling flows. Annual Reviews Fluid Mechanics 1987;19:465-491. https://doi.org/10.1146/annurev.fl.19.010187.002341
  • [2] Vogel HU, Experimentelle Ergebnisse über die laminare Strömung in einem zylindrischen Gahause mit darin rotieren-der Scheibe. MPI Bericht 6; 1968.
  • [3] Vogel HU, Rückströmungsblasen in Drallsströmungen. Festschrift 50 Jahre Max-Planck-Institut für Strömungsforschung 1925-1975, 1975.
  • [4] Ronnenberg B. Ein selbstjustierendes 3-Komponenten-Laserdoppleranemometer nach dem Vergleichsstrahlverfahren, angewandt für Untersuchungen in einer stationaren sylinder-symmetrischen Drehströmung mit einem Rückstromgebiet. MPI Bericht 20, 1977.
  • [5] Bertela M, Gori F. Laminer flow in a cylindrical container with a rotating cover. Journal of Fluids Engineering 1982;104:31-39. https://doi.org/10.1115/1.3240849.
  • [6] Escudier MP. Observations of the flow produced in a cylindrical container by rotating endwall. Experiments in Fluids 1984;2:189-196. https://doi.org/10.1007/BF00571864.
  • [7] Lugt HJ, Haussling HJ. Axisymmetric vortex breakdown in rotating fluid within a container. Journal of Applied Mechanics 1982;49:921-923. https://doi.org/10.1115/1.3162645.
  • [8] Lopez JM. Axisymmetric vortex breakdown: Part1. Confined swirling flow. Journal Fluid Mechanics 1990;221: 533-552. https://doi.org/10.1017/S0022112090003664.
  • [9] Kim WN, Hyun JM. Convective heat transfer in a cylinder with a rotating lid under stable stratification. Int J of Heat and Fluid Flow 1997;18:384-388. https://doi.org/10.1016/S0142-727X(97)00012-X.
  • [10] Lee CH, Hyun JM. Flow of a stratified fluid in a cylinder with a rotating lid. Int J of Heat and Fluid Flow 1999;20: 26-33. https://doi.org/10.1016/S0142-727X(98)10041-3.
  • [11] Iwatsu R. Flow pattern and heat transfer of swirling flows in cylindrical container with rotating top and stable temperature gradient. International Journal of Heat and Mass Transfer 2004; 47: 2755-2767. https://doi.org/10.1016/j.ijheatmasstransfer.2003.11.032.
  • [12] Escuider MP, O’Leary J, Poole RJ. Flow produced in a conical container by a rotating end wall. Int J of Heat and Fluid Flow 2007;28:1418-1428. https://doi.org/10.1016/j.ijheatfluidflow.2007.04.018.
  • [13] Turan O, Yigit S, Chakraborty N. Effects of wall heating on laminar mixed convection in a cylindrical enclosure with a rotating end wall. Journal of Thermal Science 2018;131:80-93. https://doi.org/10.1016/j.ijthermalsci.2018.05.005
  • [14] Patankar SV. Numerical Heat Transfer and Fluid Flow. Hemisphere, Washington, D.C; 1980.

Yıl 2020, Cilt: 6 Sayı: 1, 1 - 15, 06.01.2020

Osman Turan

https://doi.org/10.18186/thermal.670863
Cited By: 2

Öz

Kaynakça

  • [1] Zandbergen PJ, Dikstra D. Von Karman swirling flows. Annual Reviews Fluid Mechanics 1987;19:465-491. https://doi.org/10.1146/annurev.fl.19.010187.002341
  • [2] Vogel HU, Experimentelle Ergebnisse über die laminare Strömung in einem zylindrischen Gahause mit darin rotieren-der Scheibe. MPI Bericht 6; 1968.
  • [3] Vogel HU, Rückströmungsblasen in Drallsströmungen. Festschrift 50 Jahre Max-Planck-Institut für Strömungsforschung 1925-1975, 1975.
  • [4] Ronnenberg B. Ein selbstjustierendes 3-Komponenten-Laserdoppleranemometer nach dem Vergleichsstrahlverfahren, angewandt für Untersuchungen in einer stationaren sylinder-symmetrischen Drehströmung mit einem Rückstromgebiet. MPI Bericht 20, 1977.
  • [5] Bertela M, Gori F. Laminer flow in a cylindrical container with a rotating cover. Journal of Fluids Engineering 1982;104:31-39. https://doi.org/10.1115/1.3240849.
  • [6] Escudier MP. Observations of the flow produced in a cylindrical container by rotating endwall. Experiments in Fluids 1984;2:189-196. https://doi.org/10.1007/BF00571864.
  • [7] Lugt HJ, Haussling HJ. Axisymmetric vortex breakdown in rotating fluid within a container. Journal of Applied Mechanics 1982;49:921-923. https://doi.org/10.1115/1.3162645.
  • [8] Lopez JM. Axisymmetric vortex breakdown: Part1. Confined swirling flow. Journal Fluid Mechanics 1990;221: 533-552. https://doi.org/10.1017/S0022112090003664.
  • [9] Kim WN, Hyun JM. Convective heat transfer in a cylinder with a rotating lid under stable stratification. Int J of Heat and Fluid Flow 1997;18:384-388. https://doi.org/10.1016/S0142-727X(97)00012-X.
  • [10] Lee CH, Hyun JM. Flow of a stratified fluid in a cylinder with a rotating lid. Int J of Heat and Fluid Flow 1999;20: 26-33. https://doi.org/10.1016/S0142-727X(98)10041-3.
  • [11] Iwatsu R. Flow pattern and heat transfer of swirling flows in cylindrical container with rotating top and stable temperature gradient. International Journal of Heat and Mass Transfer 2004; 47: 2755-2767. https://doi.org/10.1016/j.ijheatmasstransfer.2003.11.032.
  • [12] Escuider MP, O’Leary J, Poole RJ. Flow produced in a conical container by a rotating end wall. Int J of Heat and Fluid Flow 2007;28:1418-1428. https://doi.org/10.1016/j.ijheatfluidflow.2007.04.018.
  • [13] Turan O, Yigit S, Chakraborty N. Effects of wall heating on laminar mixed convection in a cylindrical enclosure with a rotating end wall. Journal of Thermal Science 2018;131:80-93. https://doi.org/10.1016/j.ijthermalsci.2018.05.005
  • [14] Patankar SV. Numerical Heat Transfer and Fluid Flow. Hemisphere, Washington, D.C; 1980.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Osman Turan

Yayımlanma Tarihi 6 Ocak 2020
Gönderilme Tarihi 25 Ocak 2018
Yayımlandığı Sayı Yıl 2020 Cilt: 6 Sayı: 1

Kaynak Göster

APA Turan, O. (2020). NUMERICAL INVESTIGATION OF LAMINAR MIXED CONVECTION IN A SQUARE CROSS-SECTIONED CYLINDRICAL ANNULAR ENCLOSURE. Journal of Thermal Engineering, 6(1), 1-15. https://doi.org/10.18186/thermal.670863
AMA Turan O. NUMERICAL INVESTIGATION OF LAMINAR MIXED CONVECTION IN A SQUARE CROSS-SECTIONED CYLINDRICAL ANNULAR ENCLOSURE. Journal of Thermal Engineering. Ocak 2020;6(1):1-15. doi:10.18186/thermal.670863
Chicago Turan, Osman. “NUMERICAL INVESTIGATION OF LAMINAR MIXED CONVECTION IN A SQUARE CROSS-SECTIONED CYLINDRICAL ANNULAR ENCLOSURE”. Journal of Thermal Engineering 6, sy. 1 (Ocak 2020): 1-15. https://doi.org/10.18186/thermal.670863.
EndNote Turan O (01 Ocak 2020) NUMERICAL INVESTIGATION OF LAMINAR MIXED CONVECTION IN A SQUARE CROSS-SECTIONED CYLINDRICAL ANNULAR ENCLOSURE. Journal of Thermal Engineering 6 1 1–15.
IEEE O. Turan, “NUMERICAL INVESTIGATION OF LAMINAR MIXED CONVECTION IN A SQUARE CROSS-SECTIONED CYLINDRICAL ANNULAR ENCLOSURE”, Journal of Thermal Engineering, c. 6, sy. 1, ss. 1–15, 2020, doi: 10.18186/thermal.670863.
ISNAD Turan, Osman. “NUMERICAL INVESTIGATION OF LAMINAR MIXED CONVECTION IN A SQUARE CROSS-SECTIONED CYLINDRICAL ANNULAR ENCLOSURE”. Journal of Thermal Engineering 6/1 (Ocak 2020), 1-15. https://doi.org/10.18186/thermal.670863.
JAMA Turan O. NUMERICAL INVESTIGATION OF LAMINAR MIXED CONVECTION IN A SQUARE CROSS-SECTIONED CYLINDRICAL ANNULAR ENCLOSURE. Journal of Thermal Engineering. 2020;6:1–15.
MLA Turan, Osman. “NUMERICAL INVESTIGATION OF LAMINAR MIXED CONVECTION IN A SQUARE CROSS-SECTIONED CYLINDRICAL ANNULAR ENCLOSURE”. Journal of Thermal Engineering, c. 6, sy. 1, 2020, ss. 1-15, doi:10.18186/thermal.670863.
Vancouver Turan O. NUMERICAL INVESTIGATION OF LAMINAR MIXED CONVECTION IN A SQUARE CROSS-SECTIONED CYLINDRICAL ANNULAR ENCLOSURE. Journal of Thermal Engineering. 2020;6(1):1-15.

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IMPORTANT NOTE: JOURNAL SUBMISSION LINK http://eds.yildiz.edu.tr/journal-of-thermal-engineering