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Heat and Mass Transfer

, Volume 45, Issue 12, pp 1617–1625 | Cite as

Optimal design of angled rib turbulators in a cooling channel

  • Kyung Min Kim
  • Hyun Lee
  • Beom Seok Kim
  • Sangwoo Shin
  • Dong Hyun Lee
  • Hyung Hee Cho
Original

Abstract

In the present study, an optimal design for enhancement of heat transfer and thermal performance for a stationary channel with angled rib turbulators was investigated to find the most suitable rib geometry. Among various design parameters, two design variables, rib angle of attack (α) and pitch-to-rib height (p/e), were chosen. The ranges of two design variables were set as 30° ≤ α ≤ 80° and 3.0 ≤ p/e ≤ 15.0. Approximations for design of the best rib turbulators were obtained using the advanced response surface method with functional variables. The second-order response surfaces (or correlations) within the ranges of two design variables were completed by this method. As for the optimized results, maximum averaged heat transfer value was obtained at α = 53.31° and p/e = 6.50, while the highest thermal performance value was presented at α = 54.67° and p/e = 6.80.

Keywords

Heat Transfer Design Variable Secondary Flow Heat Transfer Enhancement Response Surface Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols

AR

Channel aspect ratio (W/H)

Dh

Hydraulic diameter (m)

e

Rib height (m)

f

Friction factor

h

Heat transfer coefficient (W m−2 K−1)

H

Channel height (m)

kc

Conductivity of air

Nu

Nusselt number (hD h/k c)

OF

Objective function

p

Rib-to-rib pitch

Pr

Prandtl number (μC p/k c)

R2

Determine R square

Radj2

Adjusted determine R square

Re

Reynolds number, D h u b/ν

TP

Thermal performance

ub

Passage inlet averaged bulk velocity (m s−1)

w

Rib width (m)

W

Width of channel (m)

x

Coordinate and distance in the streamwise direction (m)

y

Coordinate and distance in the lateral direction (m)

z

Coordinate and distance in the vertical direction (m)

α

Rib angle of attack

β

Coefficient of polynomial

μ

Dynamic viscosity (kg m−1 s−1)

ρ

Air density

ν

Kinematic viscosity (m2 s−1)

Notes

Acknowledgments

This work was supported partially by the Electric Power Industry Technology Evaluation and Planning Center.

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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  • Kyung Min Kim
    • 1
  • Hyun Lee
    • 1
  • Beom Seok Kim
    • 1
  • Sangwoo Shin
    • 1
  • Dong Hyun Lee
    • 1
  • Hyung Hee Cho
    • 1
  1. 1.Department of Mechanical EngineeringYonsei UniversitySeoulKorea

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