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Research Papers: Heat and Mass Transfer

# Isolated and Coupled Effects of Rotating and Buoyancy Number on Heat Transfer and Pressure Drop in a Rotating Two-Pass Parallelogram Channel With Transverse Ribs

[+] Author and Article Information
Tong-Miin Liou

Professor
Department of Power Mechanical Engineering,
National Tsing Hua University,
No. 101, Section 2, Kuang-Fu Road,
Hsinchu 30013, Taiwan, Republic of China
e-mail: tmliou@pme.nthu.edu.tw

Shyy Woei Chang

Professor
Department of System and Naval Mechatronic
Engineering,
National Cheng Kung University,
No. 1, University Road,
Tainan City 701, Taiwan, Republic of China
e-mail: swchang@mail.ncku.edu.tw

Yi-An Lan

Department of Power Mechanical Engineering,
National Tsing Hua University,
No. 101, Section 2, Kuang-Fu Road,
Hsinchu 30013, Taiwan, Republic of China
e-mail: gandalflan@gmail.com

Shu-Po Chan

Department of Power Mechanical Engineering,
National Tsing Hua University,
No. 101, Section 2, Kuang-Fu Road,
Hsinchu 30013, Taiwan, Republic of China
e-mail: tedchan0611@gmail.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received March 26, 2017; final manuscript received August 10, 2017; published online November 7, 2017. Assoc. Editor: Milind A. Jog.

J. Heat Transfer 140(3), 032001 (Nov 07, 2017) (14 pages) Paper No: HT-17-1168; doi: 10.1115/1.4038133 History: Received March 26, 2017; Revised August 10, 2017

## Abstract

Detailed Nusselt number (Nu) distributions over the leading (LE) and trailing (TE) endwalls and the pressure drop coefficients (f) of a rotating transverse-ribbed two-pass parallelogram channel were measured. The impacts of Reynolds (Re), rotation (Ro), and buoyancy (Bu) numbers upon local and regionally averaged Nu over the endwall of two ribbed legs and the turn are explored for Re = 5000–20,000, Ro = 0–0.3, and Bu = 0.0015–0.122. The present work aims to study the combined buoyancy and Coriolis effects on thermal performances as the first attempt. A set of selected experimental data illustrates the isolated and interdependent Ro and Bu influences upon Nu with the impacts of Re and Ro on f disclosed. Moreover, thermal performance factors (TPF) for the tested channel are evaluated and compared with those collected from the channels with different cross-sectional shapes and endwall configurations to enlighten the relative heat transfer efficiency under rotating condition. Empirical Nu and f correlations are acquired to govern the entire Nu and f data generated. These correlations allow one to evaluate both isolated and combined Re, Ro and/or Bu impacts upon the thermal performances of the present rotating channel for internal cooling of gas turbine blades.

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## Figures

Fig. 1

(a) Schematic of test module, assemblies of IC, micromanometer, and (b) rib configurations: 1—Test section, 2—infrared camera, 3—micromanometer, 4—test rig, 5—K-type thermocouples, 6—scanned heating foils, 7—heating foil, 8—shielding plate, 9—teflon base plate, 10—copper plates, 11—teflon central divider, 12—teflon sidewalls, 13—teflon topwall, 14—pressure tapping, 15—cylindrical air chamber, 16—aluminum flange

Fig. 2

Nu/Nu0 ratios over stable and unstable endwalls of channels with various cross-sectional shapes

Fig. 3

(a) Coordinate system and conceptual flow structures and (b) stable/unstable endwalls and directions of Coriolis forces in rotating channel

Fig. 4

Full-field leading endwall Nu distributions for (a) Ro = 0, 0.05, 0.1, and 0.2 at Re = 5000, (b) Re = 5000 with various Bu at Ro = 0.2 and (c) Re = 7500, 10,000, and 12,500 as well as various Bu at Ro = 0.1

Fig. 5

Full-field trailing endwall Nu distributions for (a) Ro = 0, 0.05, 0.1, and 0.2 at Re = 5000, (b) Re = 5000 with various Bu at Ro = 0.2 and (c) Re = 7500, 10,000, and 12,500 as well as various Bu at Ro = 0.1

Fig. 6

Rib-wise Nu¯/Nu¯0 against Bu along (a) inlet and (b) outlet legs as well as (c) area-averaged Nu¯/Nu¯0 against Bu over sharp bend on rotating leading endwall

Fig. 7

Rib-wise Nu¯/Nu¯0against Bu along (a) inlet and (b) outlet legs as well as (c) area-averaged Nu¯/Nu¯0 against Bu over sharp bend on rotating trailing endwall

Fig. 8

Variations of Ψ1 against Ro at rib and MR locations along (a) inlet leg, (b) turning region, and (c) outlet leg over rotating leading and trailing endwalls

Fig. 9

Variations of Ψ2 against Ro at rib and MR locations along (a) inlet leg, (b) turning region, and (c) outlet leg over rotating leading and trailing endwalls

Fig. 10

Variations of (a) f0 against Re and f, f/f and f/f0 against Ro at (b) leading (c) trailing rotating orientations and (d) the corresponding c coefficients against Re

Fig. 11

Variations of TPF against Re for present rotating test channel and the rotating channels with various shapes and wall configurations

## Errata

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