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HİPERBOLİK PROFİLLİ DAİRESEL KANATLARIN PERFORMANS ANALİZİ VE OPTİMİZASYONU

Yıl 2012, Cilt: 27 Sayı: 3, 0 - , 19.02.2013

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.

Kaynakça

  • Kraus, A.D., Aziz, A., ve Welty, J.R., Extended
  • Surface Heat Transfer, McGraw-Hill, New
  • York, 2001.
  • Campo, A. ve Cui, J., “Temperature/heat
  • analysis of annular fins of hyperbolic profile
  • relying on the simple theory for straight fins of
  • uniform profile”, Journal of Heat Transfer,
  • Cilt 130, 054501, 2008.
  • Mokheimer, E. M.A., “Performance of annular
  • fns with different profiles subject to variable
  • heat transfer coefficient”, International
  • Journal of Heat and Mass Transfer, Cilt 45,
  • No 17, 3631-3642, 2002.
  • Laor, K. ve Kalman, H., “Performance and
  • optimum dimensions of different cooling fins
  • with a temperature dependent heat transfer
  • coefficient”, International Journal of Heat
  • and Mass Transfer, Cilt 39, No 9, 1993-2003,
  • -
  • Kundu, B. ve Das P.K., “Performance analysis
  • and optimization of straight taper fins with
  • variable heat transfer coefficient”,
  • International Journal of Heat and Mass
  • Transfer, Cilt 45, No 24, 4739-4751, 2002.
  • Arauzo, I., Campo, A ve Cortes, C., “Quick
  • estimate of the heat transfer characteristics of
  • annular fins of hyperbolic profile with the
  • power series method”, Applied Thermal
  • Engineering, Cilt 25, No 4, 623-634, 2005.
  • Diez, L.I., Campo, A. ve Cortes, C., “Quick
  • design of truncated pin fins of hyperbolic
  • profile for heat-sink applications by using
  • shortened power series”, Applied Thermal
  • Engineering, Cilt 29, No 5-6, 815-821, 2009.
  • Yu,L.T. ve Chen, C.K., “Optimization of
  • circular fins with variable thermal parameters”,
  • Journal of the Franklin Institute, Cilt 336, No
  • , 77-95, 1999.
  • Arslanturk, C., “A decomposition method for
  • fin efficiency of convective straight fins with
  • temperature-dependent thermal conductivity”,
  • International Communications in Heat and
  • Mass Transfer, Cilt 32, No 6, 831-841, 2005.
  • Arslanturk, C., “Correlation equations for
  • optimum design of annular fins with
  • temperature dependent thermal conductivity”,
  • Heat and Mass Transfer, Cilt 45, No 4, 519-
  • , 2009.
  • Coşkun, S.B. ve Atay, M.T., “Fin efficiency
  • analysis of convective straight fins with
  • temperature dependent thermal conductivity
  • using variational iteration method”, Applied
  • Thermal Engineering, Cilt 28, No 17-18,
  • -2352, 2008.
  • Inc, M., “Application of homotopy analysis
  • method for fin efficiency of convective straight
  • fins with temperature-dependent thermal
  • conductivity”, Mathematics and Computers
  • in Simulation, Cilt 79, No 2, 189-200, 2008.
  • Domairry, G. ve Fazeli, M., “Homotopy
  • analysis method to determine the fin efficiency
  • of convective straight fins with temperaturedependent
  • thermal conductivity”,
  • Communications in Nonlinear Science and
  • Numerical Simulation, Cilt 14, No 2, 489-499,
  • -
  • Joneidi, A.A., Ganji, D.D. ve Babaelahi, M.,
  • “Differential transformation method to
  • determine fin efficiency of convective straight
  • fins with temperature dependent thermal
  • conductivity”, International Communications
  • in Heat and Mass Transfer, Cilt 36, No 7,
  • -762, 2009.
  • Malekzadeh, P., Rahideh, H. ve Setoodeh, A.R.,
  • “Optimization of non-symmetric convectiveradiative
  • annular fins by differential quadrature
  • method”, Energy Conversion and
  • Management, Cilt 48, No 5, 1671-1677, 2007.
  • Yang, Y.T., Chang, C.C. ve Chen C.K., “A
  • double decomposition method for solving the
  • annular hyperbolic profile fins with variable
  • thermal conductivity”, Heat Transfer
  • Engineering, Cilt 31, No 14, 1165-1172, 2010.
  • Liao, S.J., “The proposed homotopy analysis
  • technique for the solution of nonlinear
  • problems”, PhD thesis, Shanghai Jiao Tong
  • University, 1992.
  • Liao, S.J., “Beyond perturbation: introduction to
  • the homotopy analysis method”, Chapman &
  • Hall/CRC Press, Boca Raton, 2003.
  • Liao, S.J., “On the homotopy analysis method
  • for nonlinear problems”, Applied Mathematics
  • and Computation, Cilt 147, No 2, 499–513,
  • -
  • Khani, F., Raji, A.M. ve Nejad, S.H., “A series
  • solution of the fin problem with a temperaturedependent
  • thermal conductivity”,
  • Communications in Nonlinear Science and
  • Numerical Simulation, Cilt 14, No 7, 3007–
  • , 2009.
  • Khani, F., Raji, A.M. ve Nejad, S.H., “
  • Analytical solution and efficiency of the
  • nonlinear fin problem with temperaturedependent
  • thermal conductivity and heat
  • transfer coefficient”, Communications in
  • Nonlinear Science and Numerical
  • Simulation, Cilt14, No 8, 3327–3338, 2009.
  • Sajid, M., Ahmad, I., Hayat, T. ve Ayub, M.,
  • “Unsteady flow and heat transfer of a second
  • grade fluid over a stretching sheet”,
  • Communications in Nonlinear Science and
  • Numerical Simulation, Cilt 14, No 1, 96–108,
  • -
  • Ascher, U. ve Petzold, L., Computer Methods
  • for Ordinary Differential Equations and
  • Differential-Algebraic Equations, SIAM,
  • Philadelphia, 1998.
  • Incropera, F.P. ve DeWitt, D.P., Introduction to
  • Heat Transfer, Wiley, New York, 1993.
Yıl 2012, Cilt: 27 Sayı: 3, 0 - , 19.02.2013

Öz

Kaynakça

  • Kraus, A.D., Aziz, A., ve Welty, J.R., Extended
  • Surface Heat Transfer, McGraw-Hill, New
  • York, 2001.
  • Campo, A. ve Cui, J., “Temperature/heat
  • analysis of annular fins of hyperbolic profile
  • relying on the simple theory for straight fins of
  • uniform profile”, Journal of Heat Transfer,
  • Cilt 130, 054501, 2008.
  • Mokheimer, E. M.A., “Performance of annular
  • fns with different profiles subject to variable
  • heat transfer coefficient”, International
  • Journal of Heat and Mass Transfer, Cilt 45,
  • No 17, 3631-3642, 2002.
  • Laor, K. ve Kalman, H., “Performance and
  • optimum dimensions of different cooling fins
  • with a temperature dependent heat transfer
  • coefficient”, International Journal of Heat
  • and Mass Transfer, Cilt 39, No 9, 1993-2003,
  • -
  • Kundu, B. ve Das P.K., “Performance analysis
  • and optimization of straight taper fins with
  • variable heat transfer coefficient”,
  • International Journal of Heat and Mass
  • Transfer, Cilt 45, No 24, 4739-4751, 2002.
  • Arauzo, I., Campo, A ve Cortes, C., “Quick
  • estimate of the heat transfer characteristics of
  • annular fins of hyperbolic profile with the
  • power series method”, Applied Thermal
  • Engineering, Cilt 25, No 4, 623-634, 2005.
  • Diez, L.I., Campo, A. ve Cortes, C., “Quick
  • design of truncated pin fins of hyperbolic
  • profile for heat-sink applications by using
  • shortened power series”, Applied Thermal
  • Engineering, Cilt 29, No 5-6, 815-821, 2009.
  • Yu,L.T. ve Chen, C.K., “Optimization of
  • circular fins with variable thermal parameters”,
  • Journal of the Franklin Institute, Cilt 336, No
  • , 77-95, 1999.
  • Arslanturk, C., “A decomposition method for
  • fin efficiency of convective straight fins with
  • temperature-dependent thermal conductivity”,
  • International Communications in Heat and
  • Mass Transfer, Cilt 32, No 6, 831-841, 2005.
  • Arslanturk, C., “Correlation equations for
  • optimum design of annular fins with
  • temperature dependent thermal conductivity”,
  • Heat and Mass Transfer, Cilt 45, No 4, 519-
  • , 2009.
  • Coşkun, S.B. ve Atay, M.T., “Fin efficiency
  • analysis of convective straight fins with
  • temperature dependent thermal conductivity
  • using variational iteration method”, Applied
  • Thermal Engineering, Cilt 28, No 17-18,
  • -2352, 2008.
  • Inc, M., “Application of homotopy analysis
  • method for fin efficiency of convective straight
  • fins with temperature-dependent thermal
  • conductivity”, Mathematics and Computers
  • in Simulation, Cilt 79, No 2, 189-200, 2008.
  • Domairry, G. ve Fazeli, M., “Homotopy
  • analysis method to determine the fin efficiency
  • of convective straight fins with temperaturedependent
  • thermal conductivity”,
  • Communications in Nonlinear Science and
  • Numerical Simulation, Cilt 14, No 2, 489-499,
  • -
  • Joneidi, A.A., Ganji, D.D. ve Babaelahi, M.,
  • “Differential transformation method to
  • determine fin efficiency of convective straight
  • fins with temperature dependent thermal
  • conductivity”, International Communications
  • in Heat and Mass Transfer, Cilt 36, No 7,
  • -762, 2009.
  • Malekzadeh, P., Rahideh, H. ve Setoodeh, A.R.,
  • “Optimization of non-symmetric convectiveradiative
  • annular fins by differential quadrature
  • method”, Energy Conversion and
  • Management, Cilt 48, No 5, 1671-1677, 2007.
  • Yang, Y.T., Chang, C.C. ve Chen C.K., “A
  • double decomposition method for solving the
  • annular hyperbolic profile fins with variable
  • thermal conductivity”, Heat Transfer
  • Engineering, Cilt 31, No 14, 1165-1172, 2010.
  • Liao, S.J., “The proposed homotopy analysis
  • technique for the solution of nonlinear
  • problems”, PhD thesis, Shanghai Jiao Tong
  • University, 1992.
  • Liao, S.J., “Beyond perturbation: introduction to
  • the homotopy analysis method”, Chapman &
  • Hall/CRC Press, Boca Raton, 2003.
  • Liao, S.J., “On the homotopy analysis method
  • for nonlinear problems”, Applied Mathematics
  • and Computation, Cilt 147, No 2, 499–513,
  • -
  • Khani, F., Raji, A.M. ve Nejad, S.H., “A series
  • solution of the fin problem with a temperaturedependent
  • thermal conductivity”,
  • Communications in Nonlinear Science and
  • Numerical Simulation, Cilt 14, No 7, 3007–
  • , 2009.
  • Khani, F., Raji, A.M. ve Nejad, S.H., “
  • Analytical solution and efficiency of the
  • nonlinear fin problem with temperaturedependent
  • thermal conductivity and heat
  • transfer coefficient”, Communications in
  • Nonlinear Science and Numerical
  • Simulation, Cilt14, No 8, 3327–3338, 2009.
  • Sajid, M., Ahmad, I., Hayat, T. ve Ayub, M.,
  • “Unsteady flow and heat transfer of a second
  • grade fluid over a stretching sheet”,
  • Communications in Nonlinear Science and
  • Numerical Simulation, Cilt 14, No 1, 96–108,
  • -
  • Ascher, U. ve Petzold, L., Computer Methods
  • for Ordinary Differential Equations and
  • Differential-Algebraic Equations, SIAM,
  • Philadelphia, 1998.
  • Incropera, F.P. ve DeWitt, D.P., Introduction to
  • Heat Transfer, Wiley, New York, 1993.
Toplam 119 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Makaleler
Yazarlar

Cihat Arslantürk Bu kişi benim

Yayımlanma Tarihi 19 Şubat 2013
Gönderilme Tarihi 19 Şubat 2013
Yayımlandığı Sayı Yıl 2012 Cilt: 27 Sayı: 3

Kaynak Göster

APA Arslantürk, C. (2013). HİPERBOLİK PROFİLLİ DAİRESEL KANATLARIN PERFORMANS ANALİZİ VE OPTİMİZASYONU. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 27(3).
AMA Arslantürk C. HİPERBOLİK PROFİLLİ DAİRESEL KANATLARIN PERFORMANS ANALİZİ VE OPTİMİZASYONU. GUMMFD. Mart 2013;27(3).
Chicago Arslantürk, Cihat. “HİPERBOLİK PROFİLLİ DAİRESEL KANATLARIN PERFORMANS ANALİZİ VE OPTİMİZASYONU”. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 27, sy. 3 (Mart 2013).
EndNote Arslantürk C (01 Mart 2013) HİPERBOLİK PROFİLLİ DAİRESEL KANATLARIN PERFORMANS ANALİZİ VE OPTİMİZASYONU. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 27 3
IEEE C. Arslantürk, “HİPERBOLİK PROFİLLİ DAİRESEL KANATLARIN PERFORMANS ANALİZİ VE OPTİMİZASYONU”, GUMMFD, c. 27, sy. 3, 2013.
ISNAD Arslantürk, Cihat. “HİPERBOLİK PROFİLLİ DAİRESEL KANATLARIN PERFORMANS ANALİZİ VE OPTİMİZASYONU”. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 27/3 (Mart 2013).
JAMA Arslantürk C. HİPERBOLİK PROFİLLİ DAİRESEL KANATLARIN PERFORMANS ANALİZİ VE OPTİMİZASYONU. GUMMFD. 2013;27.
MLA Arslantürk, Cihat. “HİPERBOLİK PROFİLLİ DAİRESEL KANATLARIN PERFORMANS ANALİZİ VE OPTİMİZASYONU”. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, c. 27, sy. 3, 2013.
Vancouver Arslantürk C. HİPERBOLİK PROFİLLİ DAİRESEL KANATLARIN PERFORMANS ANALİZİ VE OPTİMİZASYONU. GUMMFD. 2013;27(3).