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Research Papers

Analytical Investigation of Gaussian Roughness Effects on the Thermal Performance of Conical Microfins

[+] Author and Article Information
A. Ayoobi

e-mail: ahmadreza.ayoobi@yahoo.com

M. Ramezanizadeh

e-mail: Ramezanizadeh@gmail.com
Aerospace Engineering Department,
Shahid Sattari Aeronautical
University of Science and Technology,
Tehran, I.R.Iran

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received July 27, 2011; final manuscript received September 22, 2012; published online February 8, 2013. Assoc. Editor: Phillip M. Ligrani.

J. Heat Transfer 135(3), 031901 (Feb 08, 2013) (6 pages) Paper No: HT-11-1372; doi: 10.1115/1.4007854 History: Received July 27, 2011; Revised September 22, 2012

Effects of Gaussian surface roughness on different aspects of thermal performance of conical microfins are investigated. A new analytical model is developed, applying the Adomian decomposition method. Convergence of the Adomian solution to the exact solution is shown, by increasing the number of computed decomposition terms. In addition, to verify the present solution, the obtained results are compared with the analytical results of Bahrami et al. (2007, “Role of Random Roughness on Thermal Performance of Microfins,” J. Thermophys. Heat Transfer, 21(1), pp. 153–157) for the uniform cross-section microfin. Surface roughness effects on temperature distribution, base heat flux at different Nusselt numbers, and thermal resistance of the microfin are investigated. It is observed that the thermal resistance of the smooth microfin is higher than the rough one and by increasing the roughness, the thermal resistance experiences further reduction.

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Figures

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Fig. 1

Schematic of a rough extended surface: (a) energy balance, (b) cross section, and (c) longitudinal cross section

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Fig. 2

Temperature distribution along the pin fin using different decomposition terms: (a) rb/rl = 6.25 and (b) rb/rl = 1.25

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Fig. 3

Temperature distribution along the pin fin at different ratios of base to tip radius

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Fig. 4

Surface roughness effects on temperature distribution along the pin fin

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Fig. 5

Surface roughness effects on the base heat flux of pin fin at different Nusselt numbers

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Fig. 6

Effects of surface roughness on pin-fin thermal resistance

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