Journals / Karaelmas Fen ve Mühendislik Dergisi / 2021 / Cilt: 11 Sayı: 2

Flow and Mixed Convection with Heat Transfer Around a Square Cylinder

Kare Silindir Etrafında Akış ve Tümleşik Taşınım ile Isı Geçişi

Zerrin Sert(ESKİŞEHİR OSMANGAZİ ÜNİVERSİTESİ)0000-0001-6934-5443
Pages
145–153
Publication Date
2021-12-15
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It was observed that the Strouhal number, the mean drag coefficient and Nusselt number decreased with the decrease of the Richardson number; but, CL,rms increased.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The influence of opposing buoyancy on the laminar flow field and heat transfer characteristic is investigated across a square cylinder in a vertical channel numerically. “Opposing flow” means that the buoyancy flow and fluid motions are in opposite directions.
📊
Key Findings & Data:The working fluids are air (Pr = 0.7) and water (Pr = 7).
💡
Conclusion & Impact:It was observed that the Strouhal number, the mean drag coefficient and Nusselt number decreased with the decrease of the Richardson number; but, CL,rms increased.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Kare silindir · Engelleyici yüzdürme kuvveti · Tümleşik taşınım.

Abstract

The influence of opposing buoyancy on the laminar flow field and heat transfer characteristic is investigated across a square cylinder in a vertical channel numerically. “Opposing flow” means that the buoyancy flow and fluid motions are in opposite directions. The working fluids are air (Pr = 0.7) and water (Pr = 7). The flow and heat transfer simulations were changed with Reynolds number (100 and 200) and under various Richardson numbers (from 0 to 0.5). The numerical analysis was carried out by Ansys-Fluent software. The effect of buoyancy was incorporated into the Navier-Stokes equations using the Boussinesq approximation. Unsteady mixed convection heat transfer and fluid flow characteristics such as Nusselt number, Strouhal number, the drag and lift coefficient were obtained for each case. Also, the isotherms were depicted for each simulation. It was observed that the Strouhal number, the mean drag coefficient and Nusselt number decreased with the decrease of the Richardson number; but, CL,rms increased.

Özet

Engelleyici yüzdürme kuvvetinin laminer rejim şartlarında akış ve ısı transferi özelliği üzerindeki etkisi, dikey kanaldaki bir kare silindir boyunca sayısal olarak incelenmiştir. Engelleyici akış, akış hareketleri ile doğal taşınımdan kaynaklanan yüzdürme kuvvetlerinin zıt yönlü olması anlamına gelmektedir. Çalışma ortamı akışkanı olarak hava (Pr=0.7) ve su (Pr=7) seçilmiştir. Akış ve ısı transferi analizleri Reynolds (Re = 100, 150 ve 200) ve Richardson sayıları (-0.5 ≤ Ri ≤ 0) değiştirilerek elde edilmiştir. Sayısal çalışmanın çözümü Ansys/Fluent ticari yazılımı ile gerçekleştirilmiştir. Yüzdürme kuvvetleri etkilerini incelemek için Boussinesq yaklaşımının kullanıldığı Navier-Stokes denklemleri çözdürülmüştür. Geçici rejimde tümleşik taşınımda ısı ve akış karakteristiklerini incelemek için Nusselt sayısı, Strouhal sayısı, sürüklenme ve kaldırma katsayısı her bir durum için elde edilmiştir. Ayrıca eş sıcaklık eğrileri her bir simülasyon için çizdirilmiştir. Richardson sayısının azalması ile Strouhal sayısı, ortalama sürüklenme katsayısı ve ortalama Nusselt sayısının azaldığı, ortalama kaldırma kuvveti katsayısının arttığı gözlemlenmiştir.

🔖

Cite This Article

Sert, Z. (2021). Flow and Mixed Convection with Heat Transfer Around a Square Cylinder. Karaelmas Fen ve Mühendislik Dergisi, Cilt: 11 Sayı: 2, 145–153. https://doi.org/10.7212/karaelmasfen.889634

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (27)

  1. Ahmad, S., Arifin, N. M., Nazar, R., Pop, I. 2009. Mixed convection boundary layer flow past an isothermal horizontal circular cylinder with temperature-dependent viscosity. Int. J. Therm. Sci. 48(10): 1943–1948. Doi: 10.1016/j.ijthermalsci.2009.02.014
  2. Avcıoğlu,, S. 2012. Ev tipi buzdolabı soğutucu bölmesinde sıcaklık dağılımının deneysel ve sayısal incelenmesi. Yüksek Lisans Tezi, İstanbul Teknik Üniversitesi, Fen Bilimleri Enstitüsü, 77 s.
  3. Altaç, Z., Sert, Z., Mahir, N., Timuralp, Ç. 2019. Mixed convection heat transfer from a triangular cylinder subjected to upward cross flow. Int. J. Therm. Sci. 137: 75-85. Doi: 10.1016/j.ijthermalsci.2018.11.010
  4. Chang, K. S., Sa, J. Y. 1990. the effect of vortex shedding in the near wake of a circular cylinder. J. Fluid Mech. 220: 253–266. Doi: 10.1017/S002211209000324X
  5. Churchill, S. W., Bernstein, M. 1977. A correlating equation for forced convection from gases and liquids to a circular cylinder in crossflow. J. Heat Trans. 99 (2): 300-306. Doi: 10.1115/1.3450685
  6. Dhiman, A. K., Sharma, N., Kumar, S. 2014. Buoyancy-aided momentum and heat transfer in a vertical channel a built-in square cylinder. Int. J. Sust. Ener. 33(5): 963-984. Doi: 10.1080/14786451.2013.764878
  7. Gandikota, G., Amiroudine, S., Chartterjee, D., Biswas, G. 2010. The effect of aiding/opposing buoyancy on two-dimensional laminar flow across a circular cylinder. Numer. Heat. Tr. A-Appl. 58: 385-402. Doi: 10.1080/10407782.2010.505167
  8. Guillen, I., Trevino, C., Martinez-Suastegui, L. 2014. Unsteady laminar mixed convection heat transfer from a horizontal isothermal cylinder in contra-flow: Buoyancy and wall proximity effects on the flow response and wake structure. Exp. Therm. Fluid Sci. 52: 30-46. Doi: 10.1016/j.expthermflusci.2013.08.019
  9. Houssem, L., Mohamed, B. 2017. The Effect of asymmetrically confined circular cylinder and opposing buoyancy on fluid flow and heat transfer. Defect Diff. Forum. 374: 18-28. Doi: 10.4028/www.scientific.net/DDF.374.18
  10. Incropera, F. P., Dewitt, D. P., Theodore, L. B., Lavine, A. S. 2015. Isı ve Külte Geçişinin Temelleri. Palme Yayınevi, ISBN: 9786053552826, 1046 s.
  11. Jassim, S. L. G. 2010. Numerical study of the mixed convection flow over a square cylinder. Iraqi J. Chem. Petro. Eng. 11(1): 29–45. Doi:-
  12. Mahir, N., Altaç, Z. 2019. Numerical investigation of flow and combined natural-forced convection from an isothermal square cylinder in cross flow. Int. J. Heat Fluid Fl. 75: 103-121. Doi: 10.1016/j.ijheatfluidflow.2018.11.013
  13. Moulai, S., Korichi, A., Polidori, G. 2016. Aided mixed convection past a heated square cylinder at low blockage ratio. J. Appl. Fluid Mech. 9(1): 303–310. Doi: 10.18869/acadpub.jafm.68.224.22891
  14. Patel, S. A., Chhabra, R. P. 2016. Laminar free convection in Bingham plastic fluids from an ısothermal elliptic cylinder. J. Thermophys. Heat Tr. 30(1), 154-168. Doi: 10.2514/1.T4578
  15. Patnaik, B. S. V., Narayana, P. A. A, Seetharamu, K. N. 1999. Numerical simulation of vortex shedding past a circular cylinder under the influence of buoyancy. Int. J. Heat Mass Trans. 42: 3495–3507. Doi: 10.1016/S0017-9310(98)00373-1 Salcedo, E., Cajas, J. C., Trevino, C., Martinez-Suastegui, L. 2016a. Unsteady mixed convection heat transfer from two confined isothermal circular cylinders in tandem: Buoyancy and tube spacing effects. Int. J. Heat Fluid Fl. 60: 12-30. Doi: 10.1016/j.ijheatfluidflow.2016.04.001
  16. Salcedo, E., Cajas, J. C., Trevino, C., Martinez-Suastegui, L. 2016b. Numerical investigation of mixed convection heat transfer from two isothermal circular cylinders in tandem arrangement: buoyancy, spacing ratio, and confinement effects. Theor. Comp. Fluid Dyn. 31: 159–187. Doi: 10.1007/s00162-016-0411-z
  17. Salcedo, E., Trevino, C., Palacios-Morales, C., Zenit, R., Martinez-Suastegui, L. 2017. Experimental study on laminar flow over two confined isothermal cylinders in tandem during mixed convection. Int. J. Therm. Sci. 115: 176-196. Doi: 10.1016/j.ijthermalsci.2017.01.015
  18. Sharma, A., Eswaran, V. 2004a. Heat and fluid flow across a square cylinder in the two-dimensional laminar flow regime. Numer. Heat. Tr. A-Appl. 45 (3): 247–269. Doi: 10.1080/10407780490278562
  19. Sharma, A., Eswaran, V. 2004b. Effect of aiding and opposing buoyancy on the heat and fluid flow across a square cylinder at Re=100. Numer. Heat. Tr. A-Appl. 45(6): 601–624. Doi: 10.1080/10407780490277798
  20. Sharma, N., Dhiman, A. K., Kumar, S. 2012. Mixed convection flow and heat transfer across a square cylinder under the influence of aiding buoyancy at low Reynolds numbers. Int. J. Heat Mass Tran. 55 (9-10): 2601–2614. Doi: 10.1016/j.ijheatmasstransfer.2011.12.034 Singh, S., Biswas, G., Mukhopadhyay, A. 1998. Effect of thermal buoyancy on the flow through a vertical channel with a built-in circular cylinder. Numer. Heat. Tr. A-Appl.34 (7): 769–789. Doi: 10.1080/10407789808914015
  21. Singh, S K., Panigrahi, P. K., Muralidhar, K. 2007. Effect of buoyancy on the wakes of circular and square cylinders: a schlieren-interferometric study. Exp. Fluids. 43(1): 101-123. Doi: 10.1007/s00348-007-0329-8
  22. Şentürk, U. 2018. Serbest akım içerisinde salınan bir silindir etrafındaki akışın ataletsiz koordinatlarda sayısal incelenmesi. Pamukkale Univ. Muh. Bilim. Derg. 24(1): 13-18. Doi: 10.5505/pajes.2017.92195
  23. Zeioun, O., Mohamed, A., Nuhait, A. 2011. Convective heat transfer around a triangular cylinder in an air cross flow. Int. J. Therm. Sci. 50 (9): 1685-1697. Doi: 10.1016/j.ijthermalsci.2011.04.011
  24. Zhang, N., Rong, L. W., Dong, K. J., Zeng, Q. D. 2020. Fluid flow and heat transfer characteristics over a superelliptic cylinder at incidence. Powder Technol. 2020: 193-208. Doi: 10.1016/j.powtec.2019.09.076
  25. Zhang, W., Samtaney, R. 2016. Numerical simulation and global linear stability analysis of low-Re flow past a heated circular cylinder. Int. J. Heat Mass Tran. 98: 584–595. Doi: 10.1016/j.ijheatmasstransfer.2016.03.058
  26. Zhu, H., Tang, T., Zhou, T., Liu, H., Zhong J. 2020. Flow structures around trapezoidal cylinders and their hydrodynamic characteristics: Effects of the base length ratio and attack angle. Phys. Fluids. 32: 103606. Doi: 10.1063/5.0021043
  27. Patel, S. A., Chhabra, R. P. 2016. Laminar free convection in Bingham plastic fluids from an ısothermal elliptic cylinder. J. Thermophys. Heat Tr. 30(1), 154-168. Doi: 10.2514/1.T4578