BibTex RIS Kaynak Göster

Investigation of Effect Thermal Conductivity on Straight Fin Performance with DTM

Yıl 2011, Cilt: 3 Sayı: 1, 42 - 54, 01.03.2011

Öz

In this study, considered new type of temperature dependent thermal conductivity and problem is solved analytically with differential transformation method (DTM). In this paper suppose thermal conductivity varies with temperature exponentially, and investigated effect of thermal conductivity on fin performance, and results compared with case that thermal conductivity varies with temperature linearly. The obtained differential transformation approximate analytic solution is in the form of an infinite power series, so that with obtained explicit form of temperature profile, the fin tip temperature, fin base heat transfer rate, and fin efficiency can be calculated directly from temperature profile easily. Temperature profile obtained for several assigned value of exponential parameter, that shown effect of exponential parameter on fin performance. In this paper for comparison of results, problem solved numerically with fourth-order Range-Kutta method that results of numerical have good agreement with results of DTM, as well as DTM results indicate that series converge rapidly with high accuracy

Kaynakça

  • [1] Zhou, J. K., Differential Transformation method and its Application for Electrical Circuits, Hauzhang Univ. press, Wuhan, China, 1986.
  • [2] Chang, M, H., A decomposition solution for fins with temperature dependent surface heat flux. Int. J. Heat Mass Transfer, 48, 1819-1824, 2005.
  • [3] Joneidi, A. A., Ganji, D.D., and Babaelahi, M., Differential transformation method to determine fin efficiency of convective straight fins with temperature dependent thermal conductivity. Int. Commun. Heat Mass Transfer, 36, 757-762, 2009.
  • [4] Liaw, S.P., Yeh, R.H., Fins with temperature dependent surface heat flux –I: Single heat transfer mode. Int. J. Heat Mass Transfer, 37, 1509-1515, 1994.
  • [5] Abbasbandy, S., Shivanian, E., Exact analytical solution of a nonlinear equation arising in heat transfer. Phys. Lett. A, 374, 567-574, 2010.
  • [6] Khani, F., Ahmadzade Raji, M., and Hamidi Nejad, H., Analytical solution and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat Transfer coefficient. Communication in Nonlinear Science Numerical Simulation, 14, 3327-3338, 2009.
  • [7] Rashidi, M.M., Erfani, E., New analytical method for solving Burgers, and nonlinear heat transfer equation and comparison with HAM. Comput. Phys. Commun, 180, 1539- 1544, 2009.
  • [8] Chang, S.H., Chang, I.L., A new algorithm for calculating one-dimensional differential transformation of nonlinear functions. Appl. Math. Comput, 195, 799-808, 2008.
  • [9] Chang, S.H., Chang, I.L., A new algorithm for calculating two-dimensional differential transformation of nonlinear functions. Appl. Math. Comput, 215, 2486-2494, 2009.
  • [10] Keshin, Y., Application of Reduced Differential Transformation Method for Solving Gas Dynamic Equation. 22, 1091-1096, 2010.
  • [11] Chen, C.K., Ju, S.P., Application of differential transformation to transient advectivedispersive transport equation. Appl. Math. Comput, 155, 25-38, 2004.
  • [12] Jang, B., Solving linear and nonlinear initial value problems by the projected differential transform method. Comput. Phys. Commun, 181, 848-854, 2010.
  • [13] Hassan, I.H., On solving some eigenvalue problems by using a differential transformation. Appl. Math. Comput, 127, 1-22, 2002.
  • [14] Arslanturk, C., A decomposition method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Int. Commun. Heat Mass Transfer, 32, 831-841, 2005.
  • [15] Rajabi, A., Homotopy perturbation method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Phys. Lett. A, 364, 33-37, 2007.
  • [16] Franco, A., An analytic method for the optimum thermal design of convective longitudinal fin arrays. Heat Mass Transfer, 45, 1503-1517, 2009.
  • [17] Lin, W.W., Lee, D.J., Boiling on a straight pin fin with variable thermal conductivity. Heat Mass Transfer, 34, 381-386, 1999.
Yıl 2011, Cilt: 3 Sayı: 1, 42 - 54, 01.03.2011

Öz

Kaynakça

  • [1] Zhou, J. K., Differential Transformation method and its Application for Electrical Circuits, Hauzhang Univ. press, Wuhan, China, 1986.
  • [2] Chang, M, H., A decomposition solution for fins with temperature dependent surface heat flux. Int. J. Heat Mass Transfer, 48, 1819-1824, 2005.
  • [3] Joneidi, A. A., Ganji, D.D., and Babaelahi, M., Differential transformation method to determine fin efficiency of convective straight fins with temperature dependent thermal conductivity. Int. Commun. Heat Mass Transfer, 36, 757-762, 2009.
  • [4] Liaw, S.P., Yeh, R.H., Fins with temperature dependent surface heat flux –I: Single heat transfer mode. Int. J. Heat Mass Transfer, 37, 1509-1515, 1994.
  • [5] Abbasbandy, S., Shivanian, E., Exact analytical solution of a nonlinear equation arising in heat transfer. Phys. Lett. A, 374, 567-574, 2010.
  • [6] Khani, F., Ahmadzade Raji, M., and Hamidi Nejad, H., Analytical solution and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat Transfer coefficient. Communication in Nonlinear Science Numerical Simulation, 14, 3327-3338, 2009.
  • [7] Rashidi, M.M., Erfani, E., New analytical method for solving Burgers, and nonlinear heat transfer equation and comparison with HAM. Comput. Phys. Commun, 180, 1539- 1544, 2009.
  • [8] Chang, S.H., Chang, I.L., A new algorithm for calculating one-dimensional differential transformation of nonlinear functions. Appl. Math. Comput, 195, 799-808, 2008.
  • [9] Chang, S.H., Chang, I.L., A new algorithm for calculating two-dimensional differential transformation of nonlinear functions. Appl. Math. Comput, 215, 2486-2494, 2009.
  • [10] Keshin, Y., Application of Reduced Differential Transformation Method for Solving Gas Dynamic Equation. 22, 1091-1096, 2010.
  • [11] Chen, C.K., Ju, S.P., Application of differential transformation to transient advectivedispersive transport equation. Appl. Math. Comput, 155, 25-38, 2004.
  • [12] Jang, B., Solving linear and nonlinear initial value problems by the projected differential transform method. Comput. Phys. Commun, 181, 848-854, 2010.
  • [13] Hassan, I.H., On solving some eigenvalue problems by using a differential transformation. Appl. Math. Comput, 127, 1-22, 2002.
  • [14] Arslanturk, C., A decomposition method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Int. Commun. Heat Mass Transfer, 32, 831-841, 2005.
  • [15] Rajabi, A., Homotopy perturbation method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Phys. Lett. A, 364, 33-37, 2007.
  • [16] Franco, A., An analytic method for the optimum thermal design of convective longitudinal fin arrays. Heat Mass Transfer, 45, 1503-1517, 2009.
  • [17] Lin, W.W., Lee, D.J., Boiling on a straight pin fin with variable thermal conductivity. Heat Mass Transfer, 34, 381-386, 1999.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA65YB49MS
Bölüm Makaleler
Yazarlar

A. Moradi Bu kişi benim

H. Ahmadikia Bu kişi benim

Yayımlanma Tarihi 1 Mart 2011
Yayımlandığı Sayı Yıl 2011 Cilt: 3 Sayı: 1

Kaynak Göster

APA Moradi, A., & Ahmadikia, H. (2011). Investigation of Effect Thermal Conductivity on Straight Fin Performance with DTM. International Journal of Engineering and Applied Sciences, 3(1), 42-54.
AMA Moradi A, Ahmadikia H. Investigation of Effect Thermal Conductivity on Straight Fin Performance with DTM. IJEAS. Mart 2011;3(1):42-54.
Chicago Moradi, A., ve H. Ahmadikia. “Investigation of Effect Thermal Conductivity on Straight Fin Performance With DTM”. International Journal of Engineering and Applied Sciences 3, sy. 1 (Mart 2011): 42-54.
EndNote Moradi A, Ahmadikia H (01 Mart 2011) Investigation of Effect Thermal Conductivity on Straight Fin Performance with DTM. International Journal of Engineering and Applied Sciences 3 1 42–54.
IEEE A. Moradi ve H. Ahmadikia, “Investigation of Effect Thermal Conductivity on Straight Fin Performance with DTM”, IJEAS, c. 3, sy. 1, ss. 42–54, 2011.
ISNAD Moradi, A. - Ahmadikia, H. “Investigation of Effect Thermal Conductivity on Straight Fin Performance With DTM”. International Journal of Engineering and Applied Sciences 3/1 (Mart 2011), 42-54.
JAMA Moradi A, Ahmadikia H. Investigation of Effect Thermal Conductivity on Straight Fin Performance with DTM. IJEAS. 2011;3:42–54.
MLA Moradi, A. ve H. Ahmadikia. “Investigation of Effect Thermal Conductivity on Straight Fin Performance With DTM”. International Journal of Engineering and Applied Sciences, c. 3, sy. 1, 2011, ss. 42-54.
Vancouver Moradi A, Ahmadikia H. Investigation of Effect Thermal Conductivity on Straight Fin Performance with DTM. IJEAS. 2011;3(1):42-54.

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