Perforeli Kanatlarda Şekil, Boyut Ve Eğim Açısının Isıl Performansa Etkisi

Bu çalışma elektronik parçaların soğutulmasında kullanılan perforeli kanatların ısıl performansını arttırmak için yapılmıştır. Dörtgen kesitli kanatlar için değişik tarzda eğimli bir perforeli kanat konusunda yeni ve orijinal sonuçlar elde edilmiştir. Mevcut modelin ısıl performans üzerindeki etkileri detaylı olarak araştırılmış ve sunulmuştur. Çalışmada teorik çözüm için Signum Fonksiyonu kullanılmıştır. Dejeneratf Hipergeometrik Denklemi ile birlikte Kummer’s Serisi kullanılarak genel çözüm elde edilmiştir. Mevcut sonuçlar ANSYS 16.0 ve sürekli rejim sonuçları ile mukayese edilerek doğrulanmıştır. Sonuçlar arasında bide üç ile altı mertebesinde farklılık görülmüştür. Ayrıca, sonuçlar ısı transfer alanının artmasıyla kanat sıcaklığının azaldığını göstermektedir. Perforasyon etkisi ile ısıl direncin azaldığı ve bu nedenle ısıl performansın yani kanat etkenlik değerinin arttığı gözlenmiştir

Anahtar Kelimeler:

Perforeli kanat, Eğimli perforasyon, Doğal taşınım, Isı transfer artışı, Isıl performans

The Effects of The Perforation Shapes, Sizes, Numbers and Inclination Angles on The Thermal Performance of A Perforated Pin Fin

Many of the proposed methods introduced the perforated fin with the straight direction to improve the thermal performance of the heat sink. Present rectangular pin fin consists, innovative form of the perforation (with inclination angles). To investigate the thermal behavior of the present model, changes in each of the geometric consideration (shape, size and number of perforations) and inclination angles were considered. Signum function is used for the modeling the opposite and the mutable approach of the heat transfer area. The Degenerate Hypergeometric Equation (DHE) was used as a new derivative method to find the general solution, then solved by Kummer’s series. Two validation ways (previous work and Ansys 16.0-Steady State Thermal) are considered. The present mathematical model has big reliability according to the high agreement of the validation results about (0.31%- 0.60%). Also, the results show a decrease of the fin temperature as a result of the increase the heat transfer area. It was found, use of the perforated fin leads to decrease the thermal resistance and improve the thermal performance of the pin fin by enhancing the heat transfer and increase the effectiveness. Many of the proposed methods introduced the perforated fin with the straight direction to improve the thermal performance of the heat sink. Present rectangular pin fin consists, innovative form of the perforation (with inclination angles). To investigate the thermal behavior of the present model, changes in each of the geometric consideration (shape, size and number of perforations) and inclination angles were considered. Signum function is used for the modeling the opposite and the mutable approach of the heat transfer area. The Degenerate Hypergeometric Equation (DHE) was used as a new derivative method to find the general solution, then solved by Kummer’s series. Two validation ways (previous work and Ansys 16.0-Steady State Thermal) are considered. The present mathematical model has big reliability according to the high agreement of the validation results about (0.31%- 0.60%). Also, the results show a decrease of the fin temperature as a result of the increase the heat transfer area. It was found, use of the perforated fin leads to decrease the thermal resistance and improve the thermal performance of the pin fin by enhancing the heat transfer and increase the effectiveness.

Keywords:

Perforated fin, Incline perforation, Natural convection, Heat transfer enhancement, Performance analysis,

PDF

___

1. Saad A. El-Sayed , Mohamed, Abdel-latif, E. Abouda, (2002). Investigation of turbulent heat transfer and fluid ﬂow in longitudinal rectangular-fin arrays of different geometries and shrouded fin array, Experimental Thermal and Fluid Science 26 , 879–900. 2. Rupak k. Banerjee , madhura karve,(2012), evaluation of enhanced heat transfer within a four row finned tube array of an air cooled steam condenser, numerical heat transfer, 61: 735–753. 3. H. J. Tony tan, m.z. Abdullah and m. Abdul mujeebu (2013), effects of geometry and number of hollow on the performance of rectangular fins in microchannel heat sinks, J. of Thermal Science and Technology - TIBTD Printed in Turkey. 4. Monoj Baruah, Anupam Dewan and P. Mahanta (2011). Performance of Elliptical Pin Fin Heat Exchanger with Three Elliptical Perforations , CFD Letters Vol. 3(2) [S2180-1363 (11) 3265. 5. M.R. Shaeri, M. Yaghoubi (2009a ),Thermal enhancement from heat sinks by using perforated fins , Energy Conversion and Management 50 . 6. M.R. Shaeri, M. Yaghoubi , K. Jafarpur(2009b ),Heat transfer analysis of lateral perforated fin heat sinks , Applied Energy 86 (2009). 7. Bayram Sahin, Alparslan Demir (2008a ) . Performance analysis of a heat exchanger having perforated square fins, Applied Thermal Engineering [ 28 (2008) 621–632] 8. Bayram Sahin, Alparslan Demir (2008b) . Thermal performance analysis and optimum design parameters of heat exchanger having perforated pin fins , Energy Conversion and Management [49(2008) 1684-1695]. 9. Amol B. Dhumne, Hemant S. Farkade (2013), Heat Transfer Analysis of Cylindrical Perforated Fins in Staggered Arrangement, International Journal of Innovative Technology and Exploring Engineering (IJITEE) , Volume-2, Issue-5, April . 10. Saurabh D. Bahadure , Mr. G. D. Gosavi (2014). Enhancement of Natural Convection Heat Transfer from Perforated Fin, International Journal of Engineering research, Volume No.3, Issue No.9, pp : 531-535. 11. E. A. M. Elshafei (2010). Natural Convection Heat Transfer from a Heat Sink with Hollow / Perforated-Circular Pin Fins, Energy [35 (2010) 2870e2877]. 12. Kavita H. Dhanawade , Vivek K. Sunnapwar and Hanamant S. Dhanawade (2014), Thermal Analysis of Square and Circular Perforated Fin Arrays by Forced Convection, International Journal of Current Engineering and Technology . 13. Ashok Fule, A .M Salwe , A Zahir Sheikh, Nikhil Wasnik (2014), Convective heat transfer comparison between solid and perforated pin fin, international journal of mechanisms and robotics research, Vol. 3, No. 2, April. 14. Kirpikov.V.A and I.I. Leifman (1972). calculation of the temperature profile of a perforated fin, instituted of chemical apparatus design, Moscow. Vol.23, No.2, pp.316-321, August . 15. Abdullah H. M. AlEssa (2009). One-dimensional finite element heat transfer solution of a fin with triangular perforations of bases parallel and towered its base, Arch Appl Mech [ 79: 741–751]. 16. Abdullah H. Al-Essa, Fayez M.S. Al-Hussien (2004) ,The effect of orientation of square perforations on the heat transfer enhancement from a fin subjected to natural convection, Heat and Mass Transfer 40 / 509–515. 17. Kumbhar D.G,Dr.N.K sane , Chavan S.T. (2009), Finite Element Analysis and Experimental Study of Convective Heat Transfer Augmentation from Horizontal Rectangular Fin by Triangular Perforations, international conference on advances in mechanical engineering , National Institute of Technology, Surat - 395 007, Gujarat, India , International Conference on Advances in Mechanical Engineering, [August:376-380] . 18. Mohamed L. Elsayed and Osama Mesalhy (2014), Studying the performance of solid/perforated pin-fin heat sinks using entropy generation minimization,springer-Heat Mass Transfer ,01-12. 19. Incropera, Dewitt, Bergman and Lavine (2007), Fundamental of heat and mass transfer, John Wiley & Sons; 6th edition , [p:95-160 and 560-594]. 20. Zan WU, Wei LI, Zhi-jian SUN , Rong-hua HONG (2012), Modeling natural convection heat transfer from perforated plates, Journal of-Zhejiang University-SCIENCE A [13(5):353-360]. 21. Raithby GD; Hollands KGT (1998), Natural convection. In: Warren M. Rohsenow, James R Hartnett, Young I. Cho, Handbook of heat transfer, MCGRAW-HILL 3rd edition, [p:4-1 to 4-80]. 22. Hisham H. JASIM and Mehmet Sait SÖYLEMEZ (2016a), The Temperature Profile for the Innovative Design of the Perforated Fin, Int. Journal of Renewable Energy Development 5(3) 2016: 259-266. 23. Hisham H. JASIM and Mehmet Sait Söylemez(2016b), Enhancement Of Natural Convection Heat Transfer Of Pin Fin Having Perforated With Inclination Angle, J. of Thermal Science and Technology, Isı Bilimi ve Tekniği Dergisi, 36, 2, 111-118. 24. Andrei D. Polyanin and Valentin F. Zaitsev (2003) , hand book of Exact solution for ordinary differential equations , 2nd ed (USA). By CHAPMAN & HALL/CRC , P.213-490. 25. Hazewinkel. M, (1995), Encyclopaedia of Mathematics: A-Integral- Coordinates, Springer science and business media, [p:105-110 and 797-800]. 26. John W. Harris and Horst Stocker (1998), Hand book of mathematics and computational science , springer (USA) [p:130-150].