Technical Brief

Efficiency of the Longitudinal Fins of Trapezoidal Profile in Motion

[+] Author and Article Information
M. Turkyilmazoglu

Mathematics Department,
University of Hacettepe,
Beytepe, Ankara 06532, Turkey
e-mail: turkyilm@hotmail.com

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received November 2, 2015; final manuscript received February 23, 2017; published online May 2, 2017. Assoc. Editor: Peter Vadasz.

J. Heat Transfer 139(9), 094501 (May 02, 2017) (4 pages) Paper No: HT-15-1689; doi: 10.1115/1.4036328 History: Received November 02, 2015; Revised February 23, 2017

The present work is concerned with the heat transfer enhancement and efficiency in the moving longitudinal fins having trapezoidal cross sections. Finding analytical solutions is targeted so that efficiency of trapezoidal fins over the known fin sections can be comparatively searched. It is shown that certain type of trapezoidal fins may have advantageous fin design features. The formulas given in this paper may also be used as benchmark analysis.

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Kraus, A. D. , Aziz, A. , and Welty, J. , 2001, Extended Surface Heat Transfer, Wiley, New York.
Lienhard, J. H. , 2011, Heat Transfer Textbook, Phlogiston Press, Cambridge, MA.
Sharqawy, M. H. , and Zubair, S. M. , 2008, “ Efficiency and Optimization of Straight Fins With Combined Heat and Mass Transfer—An Analytical Solution,” Appl. Therm. Eng., 28(17–18), pp. 2279–2288. [CrossRef]
Hatami, M. , and Ganji, D. D. , 2014, “ Thermal Behavior of Longitudinal Convective-Radiative Porous Fins With Different Section Shapes and Ceramic Materials (SiC and Si3N4),” Ceram. Int., 40(5), pp. 6765–6775. [CrossRef]
Moradi, A. , Hayat, T. , and Alsaedi, A. , 2014, “ Convection-Radiation Thermal Analysis of Triangular Porous Fins With Temperature-Dependent Thermal Conductivity by DTM,” Energy Convers. Manage., 77, pp. 70–77. [CrossRef]
Turkyilmazoglu, M. , 2012, “ Exact Solutions to Heat Transfer in Straight Fins of Varying Exponential Shape Having Temperature Dependent Properties,” Int. J. Therm. Sci., 55, pp. 69–79. [CrossRef]
Turkyilmazoglu, M. , 2014, “ Efficiency of Heat and Mass Transfer in Fully Wet Porous Fins: Exponential Fins Versus Straight Fins,” Int. J. Refrig., 46, pp. 158–164. [CrossRef]
Zhang, H. , Shao, S. , Xu, H. , Zou, H. , Tang, M. , and Tian, C. , 2016, “ Numerical Investigation on Fin-Tube Three-Fluid Heat Exchanger for Hybrid Source HVAC&R Systems,” Appl. Therm. Eng., 95, pp. 157–164. [CrossRef]
Kundu, B. , and Das, P. K. , 2004, “ Performance and Optimization Analysis for Straight Taper Fins With Simultaneous Heat and Mass Transfer,” ASME J. Heat Transfer, 126(5), pp. 862–868. [CrossRef]
Kalpakjian, S. , and Schmid, S. R. , 2001, Manufacturing Engineering and Technology, Pearson Education, New Delhi, India.
Aziz, A. , and Khani, F. , 2011, “ Convection-Radiation From a Continuously Moving Fin of Variable Thermal Conductivity,” J. Franklin Inst., 348(4), pp. 640–651. [CrossRef]
Saedodin, S. , and Barforoush, M. S. M. , 2014, “ Comprehensive Analytical Study for Convective-Radiative Continuously Moving Plates With Multiple Non-Linearities,” Energy Convers. Manage., 81, pp. 160–168. [CrossRef]
Kundu, B. , and Lee, K.-S. , 2015, “ Exact Analysis for Minimum Shape of Porous Fins Under Convection and Radiation Heat Exchange With Surrounding,” Int. J. Heat Mass Transfer, 81, pp. 439–448. [CrossRef]
Turkyilmazoglu, M. , 2015, “ Stretching/Shrinking Longitudinal Fins of Rectangular Profile and Heat Transfer,” Energy Convers. Manage., 91, pp. 199–203. [CrossRef]
Singla, R. K. , and Das, R. , 2014, “ Application of Decomposition Method and Inverse Prediction of Parameters in a Moving Fin,” Energy Convers. Manage., 84, pp. 268–281. [CrossRef]


Grahic Jump Location
Fig. 1

Longitudinal fin profiles of trapezoidal shape

Grahic Jump Location
Fig. 3

Effects of fin shape parameter and Biot number on the fin efficiency versus Peclet number: (a) N = 1/2, (b) N = 1, and (c) N = 2

Grahic Jump Location
Fig. 2

Effects of shape parameter on the temperature of fin tip against Peclet number: (a) N = 1, θa=0, (b) N = 1, θa=1/2, (c) N = 2, θa=0, and (d) N = 2, θa=0




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