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MERKEZİNDE EĞİMLİ ELİPTİK SİLİNDİR BULUNAN KAPALI KUTULARDA ISI GEÇİŞİ

Year 2019, Volume: 27 Issue: 3, 225 - 232, 15.12.2019
https://doi.org/10.31796/ogummf.590775

Abstract

Bu çalışma, kare kapalı kutu içindeki
ısıtılmış eğimli eliptik silindirin doğal taşınımla ısı geçişini inceleyebilmek
için iki boyutlu sayısal olarak analiz edilmiştir. Çalışmada kare kapalı
kutunun yüzeyleri soğuk, eliptik silindir ise ortamın tek ısı kaynağıdır.
Analiz yapılırken eliptik silindir için üç farklı eğim açısı (
θ=0°, 45°, 90°), eliptik silindirin dört farklı
en/boy oranı (b/a=0.25, 0.5, 0.75, 1.0) ve dört farklı Rayleigh sayısı (Ra=104,
105, 106, 107) göz önünde bulundurulmuştur.
Sistemde bulunan havanın termofiziksel özelliklerinin sabit olduğu ancak
yoğunluğun Boussinesq yaklaşımı altında sıcaklıkla değiştiği ve akışkanın
hareketinin yoğunluk farkından dolayı gerçekleştiği varsayılmıştır. Çözümlerden
elde edilen veriler doğrultusunda eliptik silindir üzerinden hesaplanmış
ortalama Nusselt sayısı grafiklerde verilmiştir. Ayrıca eş sıcaklık eğrileri ve
akım çizgileri de sunulmuştur.  

References

  • Bararnia, H., Soleimani, S. & Ganji, D.D. (2011). Lattice Boltzmann simulation of natural convection around a horizontal elliptic cylinder inside a square enclosure. International Communications in Heat and Mass Transfer, 38, 1436–1442. doi: 10.1016/j.icheatmasstransfer.2011.07.012
  • Bouras, A., Djezzar, M. & Ghernoug, C. (2013). Numerical simulation of natural convection between two elliptical cylinders: influence of Rayleigh number and Prandtl number. Energy Procedia, 36, 788–797. doi: https://doi.org/10.1016/j.egypro.2013.07.091
  • Cho, H.W., Seo, Y.M., Mun, G.S., Ha, M.Y. & Park, Y.G. (2017). The effect of instability flow for two-dimensional natural convection in a square enclosure with different arrays of two inner cylinders. International Journal of Heat and Mass Transfer, 114, 307–317. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2017.06.080
  • Cho H. W., Park, Y.G. and Ha, M.Y. (2018). The natural convection in a square enclosure with two hot inner cylinders, Part I: The effect of one elliptical cylinder with various aspect ratios in a vertical array. International Journal of Heat and Mass Transfer, 125, 815-827. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2018.04.141
  • Deschamps, V., Desrayaud, G. (1994). Modeling a horizontal heat-flux cylinder as a line source. Journal of Thermophysics and Heat Transfer, 8(1), 84 – 91. doi: https://doi.org/10.2514/3.504
  • Ekundayo, C. O, Probert, S. D & Newborough, M. (1998). Heat transfer from a horizontal cylinder in a rectangular enclosure. Applied Energy, 61, 57–78. doi:https://doi.org/10.1016/S0306-2619(98)00025-7
  • Ghaddar, N. K.(1992). Natural convection heat transfer between a uniformly heated cylindrical element and its rectangular enclosure. International Journal of Heat and Mass Transfer, 35(10), 2327-2334. doi: https://doi.org/10.1016/0017-9310(92)90075-4
  • Liao, C.C. , Lin, C.A. (2012). Influences of a confined elliptic cylinder at different aspect ratios and inclinations on the laminar natural and mixed convection flows. International Journal of Heat Mass Transfer, 55, 6638-6650. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2012.06.073
  • Liu, Y., Phan-Thien, N. & Kemp, R. (1996). Coupled conduction–convection problem for a cylinder in an enclosure. Computational Mechanics, 18, 429 – 443. doi: https://doi.org/10.1007/BF00350251
  • Moukalled, F., Acharya, S. (1996). Natural convection in the annulus between concentric horizontal circular and square cylinders. Journal of Thermophysics and Heat Transfer, 10(3), 524 –531. doi: https://doi.org/10.2514/3.820
  • Mun, G.S., Park, Y.G., Yoon, H.S., Kim, M. & Ha, M.Y. (2017). Natural convection in a cold enclosure with four hot inner cylinders based on diamond arrays (Part-I: effect of horizontal and vertical equal distance of inner cylinders). International Journal of Heat Mass Transfer, 111, 755–770. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2017.04.004
  • Mun, G.S., Seo, Y.M., Park, Y.G. & Ha, M.Y. (2018). Natural convection in a cold enclosure with four hot inner cylinders in a diamond array (Part-II: effect of unequal horizontal and vertical distances of inner cylinders). International Journal of Heat Mass Transfer, 120, 1365–1373. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2017.05.086
  • Park, Y.G., Ha, M.Y., Choi, C. & Park, J. (2014). Natural convection in a square enclosure with two inner circular cylinders positioned at different vertical locations. International Journal of Heat Mass Transfer, 77, 501–518. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2014.05.041
  • Park, S.H., Seo, Y.M., Ha, M.Y. & Park, Y.G. (2018). Natural convection in a square enclosure with different positions and inclination angles of an elliptical cylinder Part I: A vertical array of one elliptical cylinder and one circular cylinder. International Journal of Heat Mass Transfer, 126, 173-183. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2018.06.034
  • Raman, S.K., Prakash, K.A. & Vengadesan, S. (2012). Natural convection from a heated elliptic cylinder with a different axis ratio in a square enclosure. Numerical Heat Transfer, Part A: Applications, 62, 639–658. doi: https://doi.org/10.1080/10407782.2012.707058
  • Seo, Y.M., Park, Y.G., Kim, M., Yoon, H.S. & Ha, M.Y. (2017). Two-dimensional flow instability induced by natural convection in a square enclosure with four inner cylinders. Part I: effect of horizontal position of inner cylinders. International Journal of Heat and Mass Transfer, 113, 1306–1318. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2017.02.011
  • Seo, Y.M., Mun, G.S., Park, Y.G. & Ha, M.Y. (2017). Two-dimensional flow instability induced by natural convection in a square enclosure with four inner cylinders. Part II: effect of various positions of inner cylinders. International Journal of Heat and Mass Transfer, 113, 1319–1331. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2017.06.101
  • Shu C., Xue H. & Zhu, Y.D. (2001). Numerical study of natural convection in an eccentric annulus between a square outer cylinder and a circular inner cylinder using DQ method. International Journal of Heat and Mass Transfer, 44, 3321-3333. doi: https://doi.org/10.1016/S0017-9310(00)00357-4
  • Shu, C., Zhu, Y. D. (2002). Efficient computation of natural convection in a concentric annulus between an outer square cylinder and an inner circular cylinder. International Journal for Numerical Methods in Fluids, 38(5), 429-445. doi: https://doi.org/10.1002/fld.226
  • Stella, F., Guj, G. (1989). Vorticity–velocity formulation in the computation of flows in multi-connected domains. International Journal of Numerical Methods in Fluids, 9, 1285–1298. doi: https://doi.org/10.1002/fld.1650091008
  • Warrington, R.O, Powe, R.E. (1985) The transfer of heat by natural convection between bodies and their enclosures. International Journal of Heat and Mass Transfer, 28(2), 319 –330. doi: https://doi.org/10.1016/0017-9310(85)90065-1
  • Zhang, P., Zhang, X., Deng, J. & Song, L. (2016). A numerical study of natural convection in an inclined square enclosure with an elliptic cylinder using variational multiscale element free Galerkin method. International Journal of Heat and Mass Transfer, 99, 721–737. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2016.04.011
Year 2019, Volume: 27 Issue: 3, 225 - 232, 15.12.2019
https://doi.org/10.31796/ogummf.590775

Abstract

References

  • Bararnia, H., Soleimani, S. & Ganji, D.D. (2011). Lattice Boltzmann simulation of natural convection around a horizontal elliptic cylinder inside a square enclosure. International Communications in Heat and Mass Transfer, 38, 1436–1442. doi: 10.1016/j.icheatmasstransfer.2011.07.012
  • Bouras, A., Djezzar, M. & Ghernoug, C. (2013). Numerical simulation of natural convection between two elliptical cylinders: influence of Rayleigh number and Prandtl number. Energy Procedia, 36, 788–797. doi: https://doi.org/10.1016/j.egypro.2013.07.091
  • Cho, H.W., Seo, Y.M., Mun, G.S., Ha, M.Y. & Park, Y.G. (2017). The effect of instability flow for two-dimensional natural convection in a square enclosure with different arrays of two inner cylinders. International Journal of Heat and Mass Transfer, 114, 307–317. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2017.06.080
  • Cho H. W., Park, Y.G. and Ha, M.Y. (2018). The natural convection in a square enclosure with two hot inner cylinders, Part I: The effect of one elliptical cylinder with various aspect ratios in a vertical array. International Journal of Heat and Mass Transfer, 125, 815-827. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2018.04.141
  • Deschamps, V., Desrayaud, G. (1994). Modeling a horizontal heat-flux cylinder as a line source. Journal of Thermophysics and Heat Transfer, 8(1), 84 – 91. doi: https://doi.org/10.2514/3.504
  • Ekundayo, C. O, Probert, S. D & Newborough, M. (1998). Heat transfer from a horizontal cylinder in a rectangular enclosure. Applied Energy, 61, 57–78. doi:https://doi.org/10.1016/S0306-2619(98)00025-7
  • Ghaddar, N. K.(1992). Natural convection heat transfer between a uniformly heated cylindrical element and its rectangular enclosure. International Journal of Heat and Mass Transfer, 35(10), 2327-2334. doi: https://doi.org/10.1016/0017-9310(92)90075-4
  • Liao, C.C. , Lin, C.A. (2012). Influences of a confined elliptic cylinder at different aspect ratios and inclinations on the laminar natural and mixed convection flows. International Journal of Heat Mass Transfer, 55, 6638-6650. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2012.06.073
  • Liu, Y., Phan-Thien, N. & Kemp, R. (1996). Coupled conduction–convection problem for a cylinder in an enclosure. Computational Mechanics, 18, 429 – 443. doi: https://doi.org/10.1007/BF00350251
  • Moukalled, F., Acharya, S. (1996). Natural convection in the annulus between concentric horizontal circular and square cylinders. Journal of Thermophysics and Heat Transfer, 10(3), 524 –531. doi: https://doi.org/10.2514/3.820
  • Mun, G.S., Park, Y.G., Yoon, H.S., Kim, M. & Ha, M.Y. (2017). Natural convection in a cold enclosure with four hot inner cylinders based on diamond arrays (Part-I: effect of horizontal and vertical equal distance of inner cylinders). International Journal of Heat Mass Transfer, 111, 755–770. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2017.04.004
  • Mun, G.S., Seo, Y.M., Park, Y.G. & Ha, M.Y. (2018). Natural convection in a cold enclosure with four hot inner cylinders in a diamond array (Part-II: effect of unequal horizontal and vertical distances of inner cylinders). International Journal of Heat Mass Transfer, 120, 1365–1373. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2017.05.086
  • Park, Y.G., Ha, M.Y., Choi, C. & Park, J. (2014). Natural convection in a square enclosure with two inner circular cylinders positioned at different vertical locations. International Journal of Heat Mass Transfer, 77, 501–518. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2014.05.041
  • Park, S.H., Seo, Y.M., Ha, M.Y. & Park, Y.G. (2018). Natural convection in a square enclosure with different positions and inclination angles of an elliptical cylinder Part I: A vertical array of one elliptical cylinder and one circular cylinder. International Journal of Heat Mass Transfer, 126, 173-183. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2018.06.034
  • Raman, S.K., Prakash, K.A. & Vengadesan, S. (2012). Natural convection from a heated elliptic cylinder with a different axis ratio in a square enclosure. Numerical Heat Transfer, Part A: Applications, 62, 639–658. doi: https://doi.org/10.1080/10407782.2012.707058
  • Seo, Y.M., Park, Y.G., Kim, M., Yoon, H.S. & Ha, M.Y. (2017). Two-dimensional flow instability induced by natural convection in a square enclosure with four inner cylinders. Part I: effect of horizontal position of inner cylinders. International Journal of Heat and Mass Transfer, 113, 1306–1318. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2017.02.011
  • Seo, Y.M., Mun, G.S., Park, Y.G. & Ha, M.Y. (2017). Two-dimensional flow instability induced by natural convection in a square enclosure with four inner cylinders. Part II: effect of various positions of inner cylinders. International Journal of Heat and Mass Transfer, 113, 1319–1331. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2017.06.101
  • Shu C., Xue H. & Zhu, Y.D. (2001). Numerical study of natural convection in an eccentric annulus between a square outer cylinder and a circular inner cylinder using DQ method. International Journal of Heat and Mass Transfer, 44, 3321-3333. doi: https://doi.org/10.1016/S0017-9310(00)00357-4
  • Shu, C., Zhu, Y. D. (2002). Efficient computation of natural convection in a concentric annulus between an outer square cylinder and an inner circular cylinder. International Journal for Numerical Methods in Fluids, 38(5), 429-445. doi: https://doi.org/10.1002/fld.226
  • Stella, F., Guj, G. (1989). Vorticity–velocity formulation in the computation of flows in multi-connected domains. International Journal of Numerical Methods in Fluids, 9, 1285–1298. doi: https://doi.org/10.1002/fld.1650091008
  • Warrington, R.O, Powe, R.E. (1985) The transfer of heat by natural convection between bodies and their enclosures. International Journal of Heat and Mass Transfer, 28(2), 319 –330. doi: https://doi.org/10.1016/0017-9310(85)90065-1
  • Zhang, P., Zhang, X., Deng, J. & Song, L. (2016). A numerical study of natural convection in an inclined square enclosure with an elliptic cylinder using variational multiscale element free Galerkin method. International Journal of Heat and Mass Transfer, 99, 721–737. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2016.04.011
There are 22 citations in total.

Details

Primary Language Turkish
Subjects Mechanical Engineering
Journal Section Research Articles
Authors

Mert Yılmaz This is me 0000-0001-9753-548X

Alp Altıntop This is me 0000-0001-6428-5576

Berk Aydoğan 0000-0002-6096-1554

Zerrin Sert 0000-0001-6934-5443

Çisil Timuralp 0000-0002-2894-3575

Publication Date December 15, 2019
Acceptance Date October 16, 2019
Published in Issue Year 2019 Volume: 27 Issue: 3

Cite

APA Yılmaz, M., Altıntop, A., Aydoğan, B., Sert, Z., et al. (2019). MERKEZİNDE EĞİMLİ ELİPTİK SİLİNDİR BULUNAN KAPALI KUTULARDA ISI GEÇİŞİ. Eskişehir Osmangazi Üniversitesi Mühendislik Ve Mimarlık Fakültesi Dergisi, 27(3), 225-232. https://doi.org/10.31796/ogummf.590775
AMA Yılmaz M, Altıntop A, Aydoğan B, Sert Z, Timuralp Ç. MERKEZİNDE EĞİMLİ ELİPTİK SİLİNDİR BULUNAN KAPALI KUTULARDA ISI GEÇİŞİ. ESOGÜ Müh Mim Fak Derg. December 2019;27(3):225-232. doi:10.31796/ogummf.590775
Chicago Yılmaz, Mert, Alp Altıntop, Berk Aydoğan, Zerrin Sert, and Çisil Timuralp. “MERKEZİNDE EĞİMLİ ELİPTİK SİLİNDİR BULUNAN KAPALI KUTULARDA ISI GEÇİŞİ”. Eskişehir Osmangazi Üniversitesi Mühendislik Ve Mimarlık Fakültesi Dergisi 27, no. 3 (December 2019): 225-32. https://doi.org/10.31796/ogummf.590775.
EndNote Yılmaz M, Altıntop A, Aydoğan B, Sert Z, Timuralp Ç (December 1, 2019) MERKEZİNDE EĞİMLİ ELİPTİK SİLİNDİR BULUNAN KAPALI KUTULARDA ISI GEÇİŞİ. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi 27 3 225–232.
IEEE M. Yılmaz, A. Altıntop, B. Aydoğan, Z. Sert, and Ç. Timuralp, “MERKEZİNDE EĞİMLİ ELİPTİK SİLİNDİR BULUNAN KAPALI KUTULARDA ISI GEÇİŞİ”, ESOGÜ Müh Mim Fak Derg, vol. 27, no. 3, pp. 225–232, 2019, doi: 10.31796/ogummf.590775.
ISNAD Yılmaz, Mert et al. “MERKEZİNDE EĞİMLİ ELİPTİK SİLİNDİR BULUNAN KAPALI KUTULARDA ISI GEÇİŞİ”. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi 27/3 (December 2019), 225-232. https://doi.org/10.31796/ogummf.590775.
JAMA Yılmaz M, Altıntop A, Aydoğan B, Sert Z, Timuralp Ç. MERKEZİNDE EĞİMLİ ELİPTİK SİLİNDİR BULUNAN KAPALI KUTULARDA ISI GEÇİŞİ. ESOGÜ Müh Mim Fak Derg. 2019;27:225–232.
MLA Yılmaz, Mert et al. “MERKEZİNDE EĞİMLİ ELİPTİK SİLİNDİR BULUNAN KAPALI KUTULARDA ISI GEÇİŞİ”. Eskişehir Osmangazi Üniversitesi Mühendislik Ve Mimarlık Fakültesi Dergisi, vol. 27, no. 3, 2019, pp. 225-32, doi:10.31796/ogummf.590775.
Vancouver Yılmaz M, Altıntop A, Aydoğan B, Sert Z, Timuralp Ç. MERKEZİNDE EĞİMLİ ELİPTİK SİLİNDİR BULUNAN KAPALI KUTULARDA ISI GEÇİŞİ. ESOGÜ Müh Mim Fak Derg. 2019;27(3):225-32.

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