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Ard Arda Dizilimdeki Sonlu Dairesel Silindirlerden Üç Boyutlu Akış ve Isı Transferinin Sayısal İncelenmesi

Yıl 2026, Cilt: 46 Sayı: 1 , 141 - 155 , 01.05.2026
https://doi.org/10.47480/isibted.1813396
https://izlik.org/JA23XK22PB

Öz

Bu çalışmada, eş uzunluktaki sonlu dairesel silindirlerin üç boyutlu akış ve ısı transferi karakteristikleri sayısal olarak incelenmiştir. Çapı D ve boy/en oranı (AR=3) olan iki sonlu silindir, zemin düzlemine dik olarak yerleştirilmiş ve Re = 20.000 değerine karşılık gelen düzgün bir dış akışa maruz bırakılmıştır. Silindirler arası merkezden merkeze mesafe S/D = 1, 2 ve 4 olacak şekilde değiştirilmiştir. Denklemler, SST k–ω türbülans modeli kullanılarak çözülmüştür. İlk olarak, literatürde mevcut deneysel verilerle karşılaştırma yapılarak en uygun türbülans modeli ve ağ yapısı belirlemek amacıyla tek bir sonlu silindir için doğrulama çalışması gerçekleştirilmiştir. Ardından, ard arda dizilimdeki iki silindir için akış ve ısı transferi davranışları analiz edilmiştir. Akış alanındaki temel türbülans yapıları, akış karakteristikleri ve yüzey basınç dağılımları tablo ve grafikler halinde sunulmuştur. Isıl performans, her bir silindir üzerindeki yerel ve ortalama Nusselt sayısı dağılımları üzerinden değerlendirilmiştir. Sonuçlar, S/D = 1 durumunda düzensiz girdap ayrılmaları nedeniyle Kármán girdap caddesinin oluşmadığını, buna karşın S/D = 4 durumunda kararlı ve periyodik bir uyanım yapısının geliştiğini göstermiştir. Isı transferi açısından, en yüksek ısı transfer performansı yukarı akıştaki silindir için S/D = 1 durumunda, aşağı akıştaki silindir için ise S/D = 4 durumunda elde edilmiştir.

Kaynakça

  • Alam, M. M., Ullah, Z., Zhu, H., Ji, C., Islam, M., Zeinoddini, M., 2026, Impact of cylinder diameter and spacing on fluid flow, forces, and heat transfer in tandem cylinder configuration. International Journal of Heat and Fluid Flow, vol. 118, 110178. https://doi.org/10.1016/j.ijheatfluidflow.2025.110178
  • Altaç, Z., Sert, Z., Mahir, N., Timuralp, Ç., 2019, Mixed convection heat transfer from a triangular cylinder subjected to upward cross flow, International Journal of Thermal Sciences, vol. 137, 75-85, https://doi.org/10.1016/j.ijthermalsci.2018.11.010.
  • Bangga, G., Ashfahani, A., Sugianto, E., Sa’adiyah, D., Putri, T., Jost, E., Lutz, T., 2017, Three-dimensional flow in the vicinity of a circular cylinder mounted to a flat plate at high Reynolds number, AIP Conference Proceedings, 1788, https://doi.org/10.1063/1.4968265.
  • Çelik, Z., Altaç, Z., 2023, Numerical investigation of two- dimensional unsteady flow and heat transfer from rounded equilateral isothermal triangular cylinders in cross flow, Ocean Engineering, vol. 269, 113468, https://doi.org/10.1016/j.oceaneng.2022.113468.
  • Derakhshandeh, J. F., Gharib, N., 2021, Numerical studies of laminar flow over two tandem elliptical cylinders using Ramanujan approximation, Journal of the Brazilian Society of Mechanical Sciences and Engineering, Journal of the Brazilian Society of Mechanical Sciences and Engineering, vol. 43:169, 1- 17, https://doi.org/10.1007/s40430-021-02890-0.
  • Fallah, D. A., Rezazadeh, S., Jalili, H., Raad, M., 2022, Numerical investigation of triangular bluff bodies size effect on heat and mass transfer phenomena: internal flow, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 44:219, 1-18, https://doi.org/10.1007/s40430-022-03526-7.
  • Freidooni, F., Sohankar, A., Rastan, M., R., Shirani, E., 2021, Flow field around two tandem non-identical-height square buildings via LES, Building and Environment, vol. 201, https://doi.org/10.1016/j.buildenv.2021.107985.
  • Göktepeli, İ., 2025a, Numerical Investigation of Two- Dimensional Flow past a Normal Flat Plate, Firat University Journal of Experimental and Computational Engineering, Vol. 4 (3), 545-556. https://doi.org/10.62520/fujece.1639083
  • Göktepeli, İ., 2025b, Drag reduction by the effect of rounded corners for a square cylinder, Physics of Fluids, vol. 36 (9), 094108. https://doi.org/10.1063/5.0228446
  • Gouidmi, H., Benderradji, R., Beghidja, A., 2019, Numerical study a flow around a heated finite cylinder and mounted vertically on a flat plate, WSEAS Transactions on Heat And Mass Transfer.
  • He, J., Zhao, W., Wan, D., O, A., 2017, CFD Simulations of flows around finite stubby circular cylinder with free end, Proceedings of the Twenty-seventh International Ocean and Polar Engineering Conference.
  • Homsi, R., Islam, D., Fatt, Y., Janajreh, I., 2021, Flow dynamics over a heated cylinder subjected to high temperature ratios, Case Studies in Thermal Engineering, vol. 27, https://doi.org/10.1016/j.csite.2021.101357.
  • Hossain, Md M., Nayeem, M. H. K., Ali, Md A. T., 2021, Numerical study of flow characteristics around rectangular cylinders in tandem, Journal Of Mechanical Engineering, Automation And Control Systems, vol. 2 (1), 36-43, https://doi.org/10.21595/jmeacs.2021.21899.
  • Kawamura, T., Hiwada, M., Hibino, T., Mabuchi, I., Kumada, M., 1984, Flow around a Finite Circular Cylinder on a Flat Plate : Cylinder height greater than turbulent boundary layer thickness, Bulletin of JSME, vol. 27, no 232-10, https://doi.org/10.1299/jsme1958.27.2142.
  • Kondo, N., Matsukuma, D., 2005, Numerical simulation for flow around two circular cylinders in tandem, International Journal of Computational Fluid Dynamics, vol. 19, https://doi.org/10.1080/10618560500234345.
  • Koçak, T. B., 2024, Art Arda Dizili Sonlu Dairesel Silindirlerin Akışkan Akışı ve Isı Transferi İncelemesi, PhD Thesis, Mechanical Engineering Department, Esk. Osmangazi Univ., Eskişehir, Turkey.
  • Krajnovic, S., 2011, Flow around a tall finite cylinder explored by large eddy simulation, Journal of Fluid Mechanics, vol. 676, https://doi.org/10.1017/S0022112011000450.
  • Liakos, A., Malamataris, N., A., 2016, Three-Dimensional, Laminar Flow Past a Short, Surface-Mounted Cylinder, American Institute of Aeronautics and Astronautics Journal, https://doi.org/10.2514/1.J054684.
  • Mahir, N., Altaç, Z., 2008, Numerical investigation of convective heat transfer in unsteady flow past two cylinders in tandem arrangements, International Journal of Heat and Fluid Flow, vol. 29., 1309-1318, https://doi.org/10.1016/j.ijheatfluidflow.2008.05.001.
  • Menter, F.R., Kuntz, M., Langtry, R., 2003, Ten years of industrial experience with the SST turbulence model, Heat Mass Transf. 4 (2003) 625–632.
  • Naik, H., Tiwari, S., 2015, Heat transfer and fluid flow charactesistics from finite height circular cylinder mounted on horizontal plane, International Conference on Computational Heat and Mass Transfer, Procedia Engineering, vol. 127, https://doi.org/10.1016/j.proeng.2015.11.428.
  • Saha, A., K., Biswas, G., Muralidhar, K., 2003, Three-dimensional study of flow past a square cylinder at low Reynolds numbers, International Journal of Heat and Fluid, vol. 24, https://doi.org/10.1016/S0142-727X(02)00208-4.
  • Sharma, A., Mittal, H., Gairola, A., 2019, Detached-eddy simulation of interference between buildings in tandem arrangement, Journal of Building Engineering, vol. 21, 129-140, https://doi.org/10.1016/j.jobe.2018.10.004.
  • Sert, Z., 2024, Combined forced and natural convection from a single triangular cylinder, Journal of Thermal Science and Technology, vol. 44 (1), 71-88, https://doi.org/10.47480/isibted.1494043.
  • Sert, Z., Mahir, N., Altaç, Z., 2024, Numerical investigation of mixed convection from rectangular cylinders subjected to upper cross flow, Numerical Heat Transfer, Part A: Applications 85 (4), 570-591, https://doi.org/10.1080/10407782.2023.2189188.
  • Sumner, D., 2013, Flow above the free end of a surface- mounted finite-height circular cylinder: A review, Journal of Fluids and Structures, vol. 43, 41-63, https://doi.org/10.1016/j.jfluidstructs.2013.08.007.
  • Sumner, D., Rostamy, N., Bergstrom, D., J., Bugg, J., D., 2015, Influence of aspect ratio on the flow above the free end of a surface-mounted finite cylinder, International Journal of Heat and Fluid Flow, vol. 56, 290-304, https://doi.org/10.1016/j.ijheatfluidflow.2015.08.005.
  • Yağmur, S., Dogan, S., Aksoy, M., H., Goktepeli, I., 2020, Turbulence modeling approaches on unsteady flow structures around a semi-circular cylinder, Ocean Engineering, vol. 200, https://doi.org/10.1016/j.oceaneng.2020.107051.
  • Zafar, F., Alam, M., 2019, Flow structure around and heat transfer from cylinders modified from square to circular, Physics of Fluids, vol. 31, https://doi.org/10.1063/1.5109693.
  • Zhang, H., Liu, T., Tse, K. T., Gao, H., Zhou, L., 2022, Numerical investigation of the flow past two transversely forced oscillating cylinders in a tandem arrangement, Ocean Engineering, vol. 251, 110757, https://doi.org/10.1016/j.oceaneng.2022.110757.
  • Zhang, D., Cheng, L., An, H., Draper, S., 2021, Flow around a surface-mounted finite circular cylinder completely submerged within the bottom boundary layer, European Journal of Mechanics / B Fluids 86, 169-197, https://doi.org/10.1016/j.euromechflu.2020.11.011.
  • Zhang, D., 2017, Comparison of various turbulence models for unsteady flow around a finite circular cylinder at re=20000, Journal of Physics: Conference Series, 910 01202. https://doi.org/10.1088/1742-6596/910/1/012027.
  • Zhou, Y., Yiu, M., W., 2006, Flow structure, momentum and heat transport in a two-tandem-cylinder wake, Journal of Fluid Mechanics, vol. 548, https://doi.org/10.1017/S002211200500738X.
  • Zobeyer, H., Baki, A. B. M., Nowrin, S., N., 2021, Interactions between tandem cylinders in an open channel: impact on mean and turbulent flow characteristics, Water, vol. 13, https://doi.org/10.3390/w13131718.

Numerical Investigation of Three-Dimensional Fluid Flow and Heat Transfer from Finite Circular Cylinders in Tandem Arrangement

Yıl 2026, Cilt: 46 Sayı: 1 , 141 - 155 , 01.05.2026
https://doi.org/10.47480/isibted.1813396
https://izlik.org/JA23XK22PB

Öz

In this study, three-dimensional flow and heat transfer characteristics from finite circular cylinders of equal length are numerically investigated. Two finite circular cylinders of diameter D and aspect ratio AR=3 placed vertically on the computation domain's bottom wall (ground plane) are subjected to uniform external flow such that Re=20000 is attained. The distance between the cylinders S was varied as S=D, 2D, 4D. The turbulence model SST k- was used to solve the governing equations. Initially, a numerical verification study was carried out to determine the most suitable turbulence model and grid configuration using a single 3D cylinder for which data were available in the literature. Subsequently, the flow fields were obtained for two 3D cylinders arranged in a tandem. The main turbulence and flow characteristics appearing along the flow domain and on each cylinder surface were identified and presented in tabular form. The heat transfer effects of the flow over isothermal cylinders were evaluated using the mean and local Nusselt distributions, leading to recommendations for design improvements. While Kármán Street does not develop in the case of S/D=1 due to the observed irregular vortex separations, a stable Kármán Street is obtained for S/D=4. In terms of heat transfer, the highest heat transfer performance was observed in the case of S/D=1 for the upstream cylinder and S/D=4 for the downstream cylinder.

Kaynakça

  • Alam, M. M., Ullah, Z., Zhu, H., Ji, C., Islam, M., Zeinoddini, M., 2026, Impact of cylinder diameter and spacing on fluid flow, forces, and heat transfer in tandem cylinder configuration. International Journal of Heat and Fluid Flow, vol. 118, 110178. https://doi.org/10.1016/j.ijheatfluidflow.2025.110178
  • Altaç, Z., Sert, Z., Mahir, N., Timuralp, Ç., 2019, Mixed convection heat transfer from a triangular cylinder subjected to upward cross flow, International Journal of Thermal Sciences, vol. 137, 75-85, https://doi.org/10.1016/j.ijthermalsci.2018.11.010.
  • Bangga, G., Ashfahani, A., Sugianto, E., Sa’adiyah, D., Putri, T., Jost, E., Lutz, T., 2017, Three-dimensional flow in the vicinity of a circular cylinder mounted to a flat plate at high Reynolds number, AIP Conference Proceedings, 1788, https://doi.org/10.1063/1.4968265.
  • Çelik, Z., Altaç, Z., 2023, Numerical investigation of two- dimensional unsteady flow and heat transfer from rounded equilateral isothermal triangular cylinders in cross flow, Ocean Engineering, vol. 269, 113468, https://doi.org/10.1016/j.oceaneng.2022.113468.
  • Derakhshandeh, J. F., Gharib, N., 2021, Numerical studies of laminar flow over two tandem elliptical cylinders using Ramanujan approximation, Journal of the Brazilian Society of Mechanical Sciences and Engineering, Journal of the Brazilian Society of Mechanical Sciences and Engineering, vol. 43:169, 1- 17, https://doi.org/10.1007/s40430-021-02890-0.
  • Fallah, D. A., Rezazadeh, S., Jalili, H., Raad, M., 2022, Numerical investigation of triangular bluff bodies size effect on heat and mass transfer phenomena: internal flow, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 44:219, 1-18, https://doi.org/10.1007/s40430-022-03526-7.
  • Freidooni, F., Sohankar, A., Rastan, M., R., Shirani, E., 2021, Flow field around two tandem non-identical-height square buildings via LES, Building and Environment, vol. 201, https://doi.org/10.1016/j.buildenv.2021.107985.
  • Göktepeli, İ., 2025a, Numerical Investigation of Two- Dimensional Flow past a Normal Flat Plate, Firat University Journal of Experimental and Computational Engineering, Vol. 4 (3), 545-556. https://doi.org/10.62520/fujece.1639083
  • Göktepeli, İ., 2025b, Drag reduction by the effect of rounded corners for a square cylinder, Physics of Fluids, vol. 36 (9), 094108. https://doi.org/10.1063/5.0228446
  • Gouidmi, H., Benderradji, R., Beghidja, A., 2019, Numerical study a flow around a heated finite cylinder and mounted vertically on a flat plate, WSEAS Transactions on Heat And Mass Transfer.
  • He, J., Zhao, W., Wan, D., O, A., 2017, CFD Simulations of flows around finite stubby circular cylinder with free end, Proceedings of the Twenty-seventh International Ocean and Polar Engineering Conference.
  • Homsi, R., Islam, D., Fatt, Y., Janajreh, I., 2021, Flow dynamics over a heated cylinder subjected to high temperature ratios, Case Studies in Thermal Engineering, vol. 27, https://doi.org/10.1016/j.csite.2021.101357.
  • Hossain, Md M., Nayeem, M. H. K., Ali, Md A. T., 2021, Numerical study of flow characteristics around rectangular cylinders in tandem, Journal Of Mechanical Engineering, Automation And Control Systems, vol. 2 (1), 36-43, https://doi.org/10.21595/jmeacs.2021.21899.
  • Kawamura, T., Hiwada, M., Hibino, T., Mabuchi, I., Kumada, M., 1984, Flow around a Finite Circular Cylinder on a Flat Plate : Cylinder height greater than turbulent boundary layer thickness, Bulletin of JSME, vol. 27, no 232-10, https://doi.org/10.1299/jsme1958.27.2142.
  • Kondo, N., Matsukuma, D., 2005, Numerical simulation for flow around two circular cylinders in tandem, International Journal of Computational Fluid Dynamics, vol. 19, https://doi.org/10.1080/10618560500234345.
  • Koçak, T. B., 2024, Art Arda Dizili Sonlu Dairesel Silindirlerin Akışkan Akışı ve Isı Transferi İncelemesi, PhD Thesis, Mechanical Engineering Department, Esk. Osmangazi Univ., Eskişehir, Turkey.
  • Krajnovic, S., 2011, Flow around a tall finite cylinder explored by large eddy simulation, Journal of Fluid Mechanics, vol. 676, https://doi.org/10.1017/S0022112011000450.
  • Liakos, A., Malamataris, N., A., 2016, Three-Dimensional, Laminar Flow Past a Short, Surface-Mounted Cylinder, American Institute of Aeronautics and Astronautics Journal, https://doi.org/10.2514/1.J054684.
  • Mahir, N., Altaç, Z., 2008, Numerical investigation of convective heat transfer in unsteady flow past two cylinders in tandem arrangements, International Journal of Heat and Fluid Flow, vol. 29., 1309-1318, https://doi.org/10.1016/j.ijheatfluidflow.2008.05.001.
  • Menter, F.R., Kuntz, M., Langtry, R., 2003, Ten years of industrial experience with the SST turbulence model, Heat Mass Transf. 4 (2003) 625–632.
  • Naik, H., Tiwari, S., 2015, Heat transfer and fluid flow charactesistics from finite height circular cylinder mounted on horizontal plane, International Conference on Computational Heat and Mass Transfer, Procedia Engineering, vol. 127, https://doi.org/10.1016/j.proeng.2015.11.428.
  • Saha, A., K., Biswas, G., Muralidhar, K., 2003, Three-dimensional study of flow past a square cylinder at low Reynolds numbers, International Journal of Heat and Fluid, vol. 24, https://doi.org/10.1016/S0142-727X(02)00208-4.
  • Sharma, A., Mittal, H., Gairola, A., 2019, Detached-eddy simulation of interference between buildings in tandem arrangement, Journal of Building Engineering, vol. 21, 129-140, https://doi.org/10.1016/j.jobe.2018.10.004.
  • Sert, Z., 2024, Combined forced and natural convection from a single triangular cylinder, Journal of Thermal Science and Technology, vol. 44 (1), 71-88, https://doi.org/10.47480/isibted.1494043.
  • Sert, Z., Mahir, N., Altaç, Z., 2024, Numerical investigation of mixed convection from rectangular cylinders subjected to upper cross flow, Numerical Heat Transfer, Part A: Applications 85 (4), 570-591, https://doi.org/10.1080/10407782.2023.2189188.
  • Sumner, D., 2013, Flow above the free end of a surface- mounted finite-height circular cylinder: A review, Journal of Fluids and Structures, vol. 43, 41-63, https://doi.org/10.1016/j.jfluidstructs.2013.08.007.
  • Sumner, D., Rostamy, N., Bergstrom, D., J., Bugg, J., D., 2015, Influence of aspect ratio on the flow above the free end of a surface-mounted finite cylinder, International Journal of Heat and Fluid Flow, vol. 56, 290-304, https://doi.org/10.1016/j.ijheatfluidflow.2015.08.005.
  • Yağmur, S., Dogan, S., Aksoy, M., H., Goktepeli, I., 2020, Turbulence modeling approaches on unsteady flow structures around a semi-circular cylinder, Ocean Engineering, vol. 200, https://doi.org/10.1016/j.oceaneng.2020.107051.
  • Zafar, F., Alam, M., 2019, Flow structure around and heat transfer from cylinders modified from square to circular, Physics of Fluids, vol. 31, https://doi.org/10.1063/1.5109693.
  • Zhang, H., Liu, T., Tse, K. T., Gao, H., Zhou, L., 2022, Numerical investigation of the flow past two transversely forced oscillating cylinders in a tandem arrangement, Ocean Engineering, vol. 251, 110757, https://doi.org/10.1016/j.oceaneng.2022.110757.
  • Zhang, D., Cheng, L., An, H., Draper, S., 2021, Flow around a surface-mounted finite circular cylinder completely submerged within the bottom boundary layer, European Journal of Mechanics / B Fluids 86, 169-197, https://doi.org/10.1016/j.euromechflu.2020.11.011.
  • Zhang, D., 2017, Comparison of various turbulence models for unsteady flow around a finite circular cylinder at re=20000, Journal of Physics: Conference Series, 910 01202. https://doi.org/10.1088/1742-6596/910/1/012027.
  • Zhou, Y., Yiu, M., W., 2006, Flow structure, momentum and heat transport in a two-tandem-cylinder wake, Journal of Fluid Mechanics, vol. 548, https://doi.org/10.1017/S002211200500738X.
  • Zobeyer, H., Baki, A. B. M., Nowrin, S., N., 2021, Interactions between tandem cylinders in an open channel: impact on mean and turbulent flow characteristics, Water, vol. 13, https://doi.org/10.3390/w13131718.
Toplam 34 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Akışkan Akışı, Isı ve Kütle Transferinde Hesaplamalı Yöntemler (Hesaplamalı Akışkanlar Dinamiği Dahil), Türbülanslı Akışlar
Bölüm Araştırma Makalesi
Yazarlar

Tevfik Berker Koçak 0000-0002-7744-5492

Zekeriya Altaç 0000-0001-9903-4427

Zerrin Sert 0000-0001-6934-5443

Gönderilme Tarihi 30 Ekim 2025
Kabul Tarihi 9 Ocak 2026
Yayımlanma Tarihi 1 Mayıs 2026
DOI https://doi.org/10.47480/isibted.1813396
IZ https://izlik.org/JA23XK22PB
Yayımlandığı Sayı Yıl 2026 Cilt: 46 Sayı: 1

Kaynak Göster

APA Koçak, T. B., Altaç, Z., & Sert, Z. (2026). Numerical Investigation of Three-Dimensional Fluid Flow and Heat Transfer from Finite Circular Cylinders in Tandem Arrangement. Isı Bilimi ve Tekniği Dergisi, 46(1), 141-155. https://doi.org/10.47480/isibted.1813396