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Forced convective performance of perforated circular pin-fin heat sinks

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Abstract

This study examines heat transfer performance under forced convection for two different types (Type A and Type B) of pin-fin heat sinks with and without a hollow in the heated base. The effects of the Reynolds number, heights of the fin and base plate, finning factor, heat sink porosity and perforated base plate on the heat-transfer coefficient, fin effectiveness and pressure drop were investigated and evaluated. The present study strongly suggests the use of a small hollow [(D h /D b ) < 0.15] constructed in the base plate of the pin-fin heat sink. In order to obtain insight into the fluid flow phenomena, flow visualization was also made to observe the detailed fluid flow characteristics of the present pin-fin heat sinks.

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Abbreviations

a :

Channel cross sectional area (m2)

A :

Surface area (m2)

C p :

Specific heat of air

d :

Hydraulic diameter of square (i.e. length of side) (m)

D :

Diameter (m)

h :

Average heat transfer coefficient (W/m2 °C)

I :

Electric current (A)

k :

Heat conductivity (W/m °C)

L 1 :

Fin height (m)

L 2 :

Base plate height (m)

\(\dot{m}\) :

Mass flow rate of air (kg/s)

N f :

Number of pin fins

Q :

Heat transfer rate (W)

Re :

Reynolds number

T :

Temperature (°C)

U :

Mean flow velocity in the channel (m/s)

V :

Electric voltage (V)

V a :

Air volume in heat sink (m3)

V as :

Air volume plus heat sink volume in heat sink (m3)

α :

Thermal diffusivity (m2/s)

ϕ :

Heat sink porosity

ɛ :

Fin effectiveness

ν :

Kinematic viscosity (m2/s)

ρ :

Density

η :

Fin efficiency

ψ :

Finning factor

b:

Base plate

c:

Convection

cond:

Conduction

f:

Fin

film:

Film

fm:

Mean fin

fp:

Flat plate

h:

Hollow

hs:

Heat sink

i:

Inlet

in:

Input

loss:

Loss

m:

Mean

net:

Net

o:

Outlet or overall

rad:

Radiation

sm:

Mean surface

t:

Total

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Acknowledgments

The study was supported by the National Science Council of the Republic of China and the BROADLAKE CO., LTD (R.O.C.) through Grant No. NSC 101-2622-E-230-003-CC3.

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Wen, MY., Yeh, CH. Forced convective performance of perforated circular pin-fin heat sinks. Heat Mass Transfer 53, 1713–1723 (2017). https://doi.org/10.1007/s00231-016-1933-z

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