Heat Transfer in Radially Rotating Pin-Fin Channel at High Rotation Numbers

Shyy Woei Chang; Tong-Miin Liou; Tsun Lirng Yang; Guo Fang Hong

doi:10.1115/1.3147103

Journal of Turbomachinery | Volume 132 | Issue 2 | Research Paper

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Research Papers

Heat Transfer in Radially Rotating Pin-Fin Channel at High Rotation Numbers

Shyy Woei Chang, Tong-Miin Liou, Tsun Lirng Yang and Guo Fang Hong

[+] Author and Article Information

Shyy Woei Chang¹

Department of Marine Engineering, Thermal Fluids Laboratory, National Kaohsiung Marine University, No. 142, Haijhuan Road, Nanzih District, Kaohsiung 811, Taiwan, R.O.C.swchang@mail.nkmu.edu.tw

Tong-Miin Liou

Department of Power Mechanical Engineering, National Tsing Hua University, 300 Hsinchu, Taiwan, R.O.C.

Tsun Lirng Yang

National Kaohsiung Marine University, No. 142, Haijhuan Road, Nanzih District, Kaohsiung City 81143, Taiwan, R.O.C.

Guo Fang Hong

Marine Engineering, National Kaohsiung Marine University, No. 142, Haijhuan Road, Nanzih District, Kaohsiung City 81143, Taiwan, R.O.C.

Corresponding author.

J. Turbomach 132(2), 021019 (Jan 21, 2010) (12 pages) doi:10.1115/1.3147103 History: Received August 20, 2008; Revised August 31, 2008; Published January 21, 2010; Online January 21, 2010

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Abstract

Endwall heat transfer measurements for a radially rotating rectangular pin-fin channel with the width-to-height ratio (aspect ratio) of 8 are performed at the parametric conditions of $5000 \leq Re \leq 20,000$ , $0 \leq R o \leq 1.4$ , and $0.1 \leq Δ ρ / ρ \leq 0.21$ . Centerline heat transfer levels along the leading and trailing endwalls of the rotating pin-fin channel are, respectively, raised to 1.77–3.72 and 3.06–5.2 times of the Dittus–Boelter values. No previous attempt has examined the heat transfer performances for the pin-fin channel at such high rotation numbers. A selection of experimental data illustrates the individual and interactive Re, $R o$ , and buoyancy number $(B u)$ effects on heat transfer. Spanwise heat transfer variations between two adjoining pin rows are detected with the averaged Nusselt numbers (Nu) determined. A set of empirical equations that calculates Nu values over leading and trailing endwalls in the developed flow region is derived to correlate all the heat transfer data generated by this study and permits the evaluation of interactive and individual effects of Re, $R o$ , and $B u$ on Nu. With the aid of the Nu correlations derived, the operating conditions with the worst heat transfer scenarios for this rotating pin-fin channel are identified.

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(a) Test assembly and (b) channel and thermocouples

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Figure 1

(a) Test assembly and (b) channel and thermocouples

(a) Axial Tw and Tb variations at Re=15,000 (b) axial and (c) spanwise distributions of Nu0/Nu∞ along leading and trailing walls at Re=5000, 15,000, and 20,000

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Figure 2

(a) Axial Tw and Tb variations at Re=15,000 (b) axial and (c) spanwise distributions of Nu0/Nu∞ along leading and trailing walls at Re=5000, 15,000, and 20,000

Nu¯0/Nu∞ variations against Re at BP and FP locations

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Figure 3

Nu¯0/Nu∞ variations against Re at BP and FP locations

(a) Axial Tw and Tb variations (b) axial Nu/Nu∞ variations along centerlines on leading and trailing endwalls with different Δρ/ρ at Re=5000 and Ro=1.4

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Figure 4

(a) Axial Tw and Tb variations (b) axial Nu/Nu∞ variations along centerlines on leading and trailing endwalls with different Δρ/ρ at Re=5000 and Ro=1.4

Spanwise distributions of Nu/Nu∞ over (a) leading and (b) trailing endwalls with Re=5000, Δρ/ρ=0.15, Ro=0, 0.1, 0.5, and 1.4 at 7.14 x/d location

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Figure 5

Spanwise distributions of Nu/Nu∞ over (a) leading and (b) trailing endwalls with Re=5000, Δρ/ρ=0.15, Ro=0, 0.1, 0.5, and 1.4 at 7.14 x/d location

Variations in Nu/Nu∞ against Ro for rotating channels fitted with surface ribs, dimples, or pin-fins along the centerline of (a) leading and (b) trailing walls with radially outward flow

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Figure 6

Variations in Nu/Nu∞ against Ro for rotating channels fitted with surface ribs, dimples, or pin-fins along the centerline of (a) leading and (b) trailing walls with radially outward flow

Axial Nu/Nu0 profiles with Re=5000, 10,000, 15,000, and 20,000 but at a fixed Ro of 0.05, 0.1, 0.15, 0.3, or 0.5 and fixed nominal Δρ/ρ along leading and trailing centerlines

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Figure 7

Axial Nu/Nu0 profiles with Re=5000, 10,000, 15,000, and 20,000 but at a fixed Ro of 0.05, 0.1, 0.15, 0.3, or 0.5 and fixed nominal Δρ/ρ along leading and trailing centerlines

Variations in Nu¯/Nu¯0 against Bu at fixed Ro of 0.1, 0.3, 0.5, 0.7, 1, and 1.4

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Figure 8

Variations in Nu¯/Nu¯0 against Bu at fixed Ro of 0.1, 0.3, 0.5, 0.7, 1, and 1.4

Variations in Nu¯/Nu¯0 at zero-buoyancy condition against Ro at (a) FP and (b) BP locations

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Figure 9

Variations in Nu¯/Nu¯0 at zero-buoyancy condition against Ro at (a) FP and (b) BP locations

Variations in ϕ2 values against Ro on the leading and trailing endwalls at (a) BP and (b) FP locations

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Figure 10

Variations in ϕ2 values against Ro on the leading and trailing endwalls at (a) BP and (b) FP locations

Comparison of experimental measurements with the calculated results for Nu¯

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Figure 11

Comparison of experimental measurements with the calculated results for Nu¯

Variations in Nu¯/Nu¯0 contours against Ro and Bu over (a) and (b) leading and (c) and (d) trailing endwalls at FP and BP locations

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Figure 12

Variations in Nu¯/Nu¯0 contours against Ro and Bu over (a) and (b) leading and (c) and (d) trailing endwalls at FP and BP locations

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Chang S, Liou T, Yang T, Hong G. Heat Transfer in Radially Rotating Pin-Fin Channel at High Rotation Numbers. ASME. J. Turbomach. 2010;132(2):021019-021019-12. doi:10.1115/1.3147103.

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Heat Transfer in Radially Rotating Pin-Fin Channel at High Rotation Numbers

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