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A novel trapezoid fin pattern applicable for air-cooled heat sink

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Abstract

The present study proposed a novel step or trapezoid surface design applicable to air-cooled heat sink under cross flow condition. A total of five heat sinks were made and tested, and the corresponding fin patterns are (a) plate fin; (b) step fin (step 1/3, 3 steps); (c) 2-step fin (step 1/2, 2 steps); (d) trapezoid fin (trap 1/3, cutting 1/3 length from the rear end) and (e) trapezoid fin (trap 1/2, cutting 1/2 length from the rear end). The design is based on the heat transfer augmentation via (1) longer perimeter of entrance region and (2) larger effective temperature difference at the rear part of the heat sink. From the test results, it is found that either step or trapezoid design can provide a higher heat transfer conductance and a lower pressure drop at a specified frontal velocity. The effective conductance of trap 1/3 design exceeds that of plate surface by approximately 38 % at a frontal velocity of 5 m s−1 while retains a lower pressure drop of 20 % with its surface area being reduced by 20.6 %. For comparisons exploiting the overall thermal resistance versus pumping power, the resultant thermal resistance of the proposed trapezoid design 1/3, still reveals a 10 % lower thermal resistance than the plate fin surface at a specified pumping power.

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Abbreviations

A b :

Base suface area of the heat sink (m2)

A f :

Fin surface area (m2)

A o :

Total heat transfer surface area (m2)

Cp :

Specific heat at constant pressure of air (J kg−1 K−1)

h :

Average convective heat transfer coefficient (W m−2 K−1)

k :

Thermal conductivity of air (W m−1 K−1)

\(\dot{m}\) :

Mass flow rate (kg s−1)

Q :

Heat transfer rate (W)

R:

Thermal resistance (K W−1)

T :

Temperature (K)

V f :

Frontal velocity (m s−1)

\(\dot{V}\) :

Volumetric air flow rate (m3 s−1)

W :

Width of heat sink (m)

\(\dot{W}\) :

Pumping power (W)

ΔT m :

Effcetive mean temperature difference (K)

ΔP :

Total pressure drop (Pa)

η f :

Fin efficiency, dimensionless

η o :

Surface efficiency, dimensionless

air :

Air

avg :

Average

in :

Inlet

m:

Mean value

plate :

Plain fin surface

s:

Surface

step:

Step

trap:

Trapezoid

out :

Outlet

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Acknowledgments

The authors would like to thank for the support from the Ministry of Science and Technology of Taiwan, under contract 104-3113-E-009-004.

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Correspondence to Chi-Chuan Wang.

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Chen, CH., Wang, CC. A novel trapezoid fin pattern applicable for air-cooled heat sink. Heat Mass Transfer 51, 1631–1637 (2015). https://doi.org/10.1007/s00231-015-1666-4

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  • DOI: https://doi.org/10.1007/s00231-015-1666-4

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