[1] Kraus AD, Aziz A, Welty J. Extended Surface Heat Transfer. New York, USA, John Wiley & Sons Inc., 2001.
[2] Laor K, Kalman H. “Performance and optimum dimensions of different cooling fins with a temperature-dependent heat transfer coefficient”. International Journal Heat and Mass Transfer, 39(9), 1993-2003, 1996.
[3] Aksoy IG. “Thermal analysis of annular fins with temperature-dependent thermal properties”. Applied Mathematics and Mechanics, 34(11), 1349-1360, 2013.
[4] Chang MH. “Decomposition solution for fins with temperature dependent surface heat flux”. International Journal Heat and Mass Transfer, 48(9), 1819-1824, 2005.
[5] Kim S, Huang CH. “A series solution of the non-linear fin problem with temperature dependent thermal conductivity and heat transfer coefficient”. Journal of Physics D Applied Physics, 40(9), 2979-2987, 2007.
[6] Khani F, Raji MA, Nejad HH. “Analytical solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient”. Communications in Nonlinear Science Numerical Simulation, 14(8), 3327-3338, 2009.
[7] Arslanturk C. “Simple correlation equations for optimum design of annular fins with uniform thickness”. Applied Thermal Engineering, 25(14-15), 2463-2468, 2005.
[8] Arslanturk C. “Correlation equations for optimum design of annular fins with the temperature dependent thermal conductivity”. Heat and Mass Transfer, 45(4), 519-525, 2009. [9] Kundu B, Bhanja D. “Performance and optimization analysis of a constructal T-shaped fin subject to variable thermal conductivity and convective heat transfer coefficient”. International Journal of Heat and Mass Transfer, 53(1-3), 254-267, 2010.
[10] Bouaziz MN, Aziz A. “Simple and accurate solution for convective–radiative fin with temperature dependent thermal conductivity using double optimal linearization”. Energy Conversion and Management, 51(12), 2776-2782, 2010.
[11] Kundu B. “Analytic method for thermal performance and optimization of an absorber plate fin having variable thermal conductivity and overall loss coefficient”. Applied Energy, 87, 2243-2255, 2010.
[12] Khani F, Aziz A. “Thermal analysis of a longitudinal trapezoidal fin with temperature-dependent thermal conductivity and heat transfer coefficient”. Communications in Nonlinear Science and Numerical Simulation, 15(3), 590-601, 2010.
[13] Torabi M, Aziz A. “Thermal performance and efficiency of convective-radiative t-shaped fin with temperature dependent thermal conductivity, heat transfer coefficient and surface emissivity”. International Communications in Heat and Mass Transfer, 39(8), 1018-1029, 2012.
[14] Torabi M, Aziz A, Zhang K. “A comparative study of longitudinal fins of rectangular trapezoidal and concave parabolic profiles with multiple nonlinearities”. Energy, 51, 243-256, 2013.
[15] Saedodin S, Barforoush MSM. “Comprehensive analytical study for convective-radiative continuously moving plates with multiple non-linearities”. Energy Conversion and Management, 81, 160-168, 2014.
[16] Cengel YA, Palm WJ. Differential Equations for Engineers and Scientists. New York, USA, McGraw Hill, 2012.
Pamukkale Univ Muh Bilim Derg, 22(4), 246-252, 2016
C. Arslantürk
252
[17] Mohyud-Din ST, Noor MA, Waheed A. “Variation of parameters method for initial and boundary value problems”. World Applied Sciences Journal, 11(5), 622-639, 2010.
[18] Rahmatullah, Mohyud-Din ST. “Variation of parameters method for nonlinear diffusion equations”. International Journal of Modern Applied Physics, 3(1), 48-56, 2013.
[19] Moore TJ. Application of Variation of Parameters to Solve Nonlinear Multimode Heat Transfer Problems. PhD Dissertation, Brigham Young University, USA, 2014.
[20] Moore TJ, Jones MR. “Analysis of the conduction-radiation problem in absorbing, emitting, non-gray planar media using an exact method”. International Journal of Heat and Mass Transfer, 73, 804-809, 2014.
[21] Moore TJ, Jones MR. “Solving nonlinear heat transfer problems using variation of parameters”. International Journal Thermal Sciences, 93, 29-35, 2015.
[22] Maple 16.00, © Maplesoft.
[23] Bergman TL, Lavine AS, Incropera, FP, DeWitt DP. Fundamentals of Heat and Mass Transfer. 7th ed. New Jersey, USA, John Wiley and Sons, 2011.
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