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Studying the performance of solid/perforated pin-fin heat sinks using entropy generation minimization

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Abstract

Heat transfer and pressure drop characteristics of a set of pin-fins with uniform heat flux were investigated experimentally and numerically. Test set-up was designed to assess the effects of mass flow rate, fin height, and fin density on convection heat transfer and pressure drop. In the numerical investigation, the flow field of various design parameters of the heat sink was simulated. It was found that heat sinks having fin heights of 20 and 30 mm operated at a lower Reynolds number reached minimum value for thermal resistance when the fin density 10 × 10. Which means it is the optimum number of fins for this case. Also, friction factor increased with a decrease in the bypass flow area or inter-fin distance spacing and using perforated fins reduced the pressure losses and thermal resistance for all studied cases.

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Abbreviations

Dhd :

Duct hydraulic diameter (m)

E:

Total energy per unit mass (J/kg)

H:

Fin height (m)

L:

Heat sink foot print length (m)

N:

Number of fins

P1 :

Channel inlet pressure (N/m2)

PL :

Non-dimensional pitch = (a + b)/a

Q:

Heat input (W)

Rth :

Total thermal resistance (K/W)

ReD :

Reynolds number using Dh

Vd :

Duct velocity (m/s)

Sg :

Entropy generation minimization

h:

Heat transfer coefficient (W/m2 K)

b:

Fin spacing (m)

a:

Fin side thickness (m)

y + :

Dimensionless wall distance

ε:

Turbulent dissipation rate (m2/s5)

μ:

Absolute viscosity (Pa s)

β:

Open area ratio (%)

ρ:

Density (kg/m5)

∆P:

Pressure drop across heat sink (N/m2)

B:

Base plate

Dh :

Hydraulic diameter

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Authors and Affiliations

  1. Mechanical Power Engineering Department, Zagazig University, Ash Sharqiyah, 44519, Egypt

    Mohamed L. Elsayed & Osama Mesalhy

  2. Department of Mechanical and Aerospace Engineering, University of Central Florida, Orlando, FL 32816-2450, USA

    Mohamed L. Elsayed

Authors
  1. Mohamed L. Elsayed
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  2. Osama Mesalhy
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Correspondence to Mohamed L. Elsayed.

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Elsayed, M.L., Mesalhy, O. Studying the performance of solid/perforated pin-fin heat sinks using entropy generation minimization. Heat Mass Transfer 51, 691–702 (2015). https://doi.org/10.1007/s00231-014-1451-9

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  • DOI: https://doi.org/10.1007/s00231-014-1451-9

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