HİPERBOLİK PROFİLLİ DAİRESEL KANATLARIN PERFORMANS ANALİZİ VE OPTİMİZASYONU

Öz

Bu çalışmada, ısı iletim katsayıları sıcaklıkla değişen hiperbolik profile sahip dairesel kanatlar, bir-boyutlu ısılanaliz ile optimize edilmiştir. Isı iletim katsayısının değişken olması yüzünden doğrusal olmayan tek boyutlukanat denklemi, yarı-analitik bir metot olan homotopi analiz metodu (HAM) ile çözülerek kanat içindeki sıcaklıkdağılımı elde edilmiştir. HAM algoritması, çözümün yakınsaklığı ve hassaslığını kontrol eden bir parametreiçerdiğinden, sayısal yöntemden kaynaklanan hatanın minimize edilmesi mümkündür. Bu çözüm yardımıylakanat verimi hesaplanmış, ancak bulunan ifadenin çok karmaşık olmasından dolayı kanat verimi, geometrik veısıl problem parametrelerinin fonksiyonu olarak bir korelasyon denklemi ile ifade edilmiştir. Bu korelasyondenklemi optimizasyon hesaplarında kullanılarak, verilen ısıl koşullarda ısı geçişini maksimum yapan kanatgeometrisi belirlenmiştir.

Anahtar Kelimeler

• Kanat, verim, homotopi analiz metodu, hiperbolik profil, değişken ısı iletim katsayısı

Kaynakça

1. Kraus, A.D., Aziz, A., ve Welty, J.R., Extended
2. Surface Heat Transfer, McGraw-Hill, New
3. York, 2001.
4. Campo, A. ve Cui, J., “Temperature/heat
5. analysis of annular fins of hyperbolic profile
6. relying on the simple theory for straight fins of
7. uniform profile”, Journal of Heat Transfer,
8. Cilt 130, 054501, 2008.

9. Mokheimer, E. M.A., “Performance of annular
10. fns with different profiles subject to variable
11. heat transfer coefficient”, International
12. Journal of Heat and Mass Transfer, Cilt 45,
13. No 17, 3631-3642, 2002.
14. Laor, K. ve Kalman, H., “Performance and
15. optimum dimensions of different cooling fins
16. with a temperature dependent heat transfer
17. coefficient”, International Journal of Heat
18. and Mass Transfer, Cilt 39, No 9, 1993-2003,
19. -
20. Kundu, B. ve Das P.K., “Performance analysis
21. and optimization of straight taper fins with
22. variable heat transfer coefficient”,
23. International Journal of Heat and Mass
24. Transfer, Cilt 45, No 24, 4739-4751, 2002.
25. Arauzo, I., Campo, A ve Cortes, C., “Quick
26. estimate of the heat transfer characteristics of
27. annular fins of hyperbolic profile with the
28. power series method”, Applied Thermal
29. Engineering, Cilt 25, No 4, 623-634, 2005.
30. Diez, L.I., Campo, A. ve Cortes, C., “Quick
31. design of truncated pin fins of hyperbolic
32. profile for heat-sink applications by using
33. shortened power series”, Applied Thermal
34. Engineering, Cilt 29, No 5-6, 815-821, 2009.
35. Yu,L.T. ve Chen, C.K., “Optimization of
36. circular fins with variable thermal parameters”,
37. Journal of the Franklin Institute, Cilt 336, No
38. , 77-95, 1999.
39. Arslanturk, C., “A decomposition method for
40. fin efficiency of convective straight fins with
41. temperature-dependent thermal conductivity”,
42. International Communications in Heat and
43. Mass Transfer, Cilt 32, No 6, 831-841, 2005.
44. Arslanturk, C., “Correlation equations for
45. optimum design of annular fins with
46. temperature dependent thermal conductivity”,
47. Heat and Mass Transfer, Cilt 45, No 4, 519-
48. , 2009.
49. Coşkun, S.B. ve Atay, M.T., “Fin efficiency
50. analysis of convective straight fins with
51. temperature dependent thermal conductivity
52. using variational iteration method”, Applied
53. Thermal Engineering, Cilt 28, No 17-18,
54. -2352, 2008.
55. Inc, M., “Application of homotopy analysis
56. method for fin efficiency of convective straight
57. fins with temperature-dependent thermal
58. conductivity”, Mathematics and Computers
59. in Simulation, Cilt 79, No 2, 189-200, 2008.
60. Domairry, G. ve Fazeli, M., “Homotopy
61. analysis method to determine the fin efficiency
62. of convective straight fins with temperaturedependent
63. thermal conductivity”,
64. Communications in Nonlinear Science and
65. Numerical Simulation, Cilt 14, No 2, 489-499,
66. -
67. Joneidi, A.A., Ganji, D.D. ve Babaelahi, M.,
68. “Differential transformation method to
69. determine fin efficiency of convective straight
70. fins with temperature dependent thermal
71. conductivity”, International Communications
72. in Heat and Mass Transfer, Cilt 36, No 7,
73. -762, 2009.
74. Malekzadeh, P., Rahideh, H. ve Setoodeh, A.R.,
75. “Optimization of non-symmetric convectiveradiative
76. annular fins by differential quadrature
77. method”, Energy Conversion and
78. Management, Cilt 48, No 5, 1671-1677, 2007.
79. Yang, Y.T., Chang, C.C. ve Chen C.K., “A
80. double decomposition method for solving the
81. annular hyperbolic profile fins with variable
82. thermal conductivity”, Heat Transfer
83. Engineering, Cilt 31, No 14, 1165-1172, 2010.
84. Liao, S.J., “The proposed homotopy analysis
85. technique for the solution of nonlinear
86. problems”, PhD thesis, Shanghai Jiao Tong
87. University, 1992.
88. Liao, S.J., “Beyond perturbation: introduction to
89. the homotopy analysis method”, Chapman &
90. Hall/CRC Press, Boca Raton, 2003.
91. Liao, S.J., “On the homotopy analysis method
92. for nonlinear problems”, Applied Mathematics
93. and Computation, Cilt 147, No 2, 499–513,
94. -
95. Khani, F., Raji, A.M. ve Nejad, S.H., “A series
96. solution of the fin problem with a temperaturedependent
97. thermal conductivity”,
98. Communications in Nonlinear Science and
99. Numerical Simulation, Cilt 14, No 7, 3007–
100. , 2009.
101. Khani, F., Raji, A.M. ve Nejad, S.H., “
102. Analytical solution and efficiency of the
103. nonlinear fin problem with temperaturedependent
104. thermal conductivity and heat
105. transfer coefficient”, Communications in
106. Nonlinear Science and Numerical
107. Simulation, Cilt14, No 8, 3327–3338, 2009.
108. Sajid, M., Ahmad, I., Hayat, T. ve Ayub, M.,
109. “Unsteady flow and heat transfer of a second
110. grade fluid over a stretching sheet”,
111. Communications in Nonlinear Science and
112. Numerical Simulation, Cilt 14, No 1, 96–108,
113. -
114. Ascher, U. ve Petzold, L., Computer Methods
115. for Ordinary Differential Equations and
116. Differential-Algebraic Equations, SIAM,
117. Philadelphia, 1998.
118. Incropera, F.P. ve DeWitt, D.P., Introduction to
119. Heat Transfer, Wiley, New York, 1993.