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Effect of Squealer Tip with Deep Scale Depth on the Aero-thermodynamic Characteristics of Tip Leakage Flow

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Abstract

In this paper, the aero-thermal performance of squealer tips with deep-scale depth is numerically investigated in an axial flow turbine, which is compared with the squealer tip with traditional cavity depth. Numerical methods were validated with experimental data. The effect of cavity depth and tip clearance was considered. The numerical results show that for the squealer tip with conventional cavity depth, the size of the reflux vortex enlarges as the cavity depth increases. The velocity and uniformity of high entropy production rate (EPR) inside the cavity reduce obviously with the cavity develo** into deep-scale. However, the increase of depth 10% of the blade span (H) leads to enlargement of cavity volume, which increases the total entropy production rate. And the overall dimensionless entropy production rate (DEPR) of gap and cavity obtains a maximum increase of 43.54% in contrast to the case with 1%H depth cavity. As a result, the relative leakage mass flow rate reduces by 20.6% as the cavity depth increases from 1% to 10%. Given the heat transfer, as the cavity significantly increases to 10%H, the enhanced cavity volume results in a more enormous cavity vortex with low velocity covering the floor, which weakens the convective heat transfer intensity and reduces the area of high heat transfer. The normalized average heat transfer coefficient at the cavity bottom reduces by 40.26% compared to the cavity depth of 1%H. In addition, the deep-scale cavity is more effective in inhibiting leakage flow at smaller tip clearance. The reduction amplitude of normalized average heat transfer coefficient at the squealer floor decreases as tip clearance increases, which reduces at most by about 72.6% for the tip clearance of 1%H.

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Abbreviations

C ax :

axial chord of the blade

C p :

static pressure loss coefficient

d i :

depth of the squealer

H :

span of the blade

h :

heat transfer coefficient

h ave :

area-averaged heat transfer coefficient

Nu :

Nusslet number

Q :

Heat flux

ij :

strain rate tensor

W :

width of squealer

ε :

relative leakage mass flow rate

λ T :

turbulent heat transfer coefficient

μ T :

turbulent viscosity coefficient

τ :

tip clearance height

DEPR:

dimensionless entropy production rate

EPR:

entropy production rate

HPT:

high-pressure turbine

LE:

leading-edge of blade

PS:

pressure side of blade

SS:

suction side of blade

TE:

trailing edge of blade

TKE:

turbulent kinetic energy

TLF:

tip leakage flow

TLV:

tip leakage vortex

TPV:

tip passage vortex

in/out:

inlet/outlet of the computational domain

t:

total

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Acknowledgements

The authors gratefully acknowledge the financial supports for the project from the National Science and Technology Major Project of China (2017-III-0010-0036), China Postdoctoral Science Foundation (NO.2020TQ0147) and Natural Science Foundation of Jiangsu Province (NO. BK20200454).

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Correspondence to Longfei Wang.

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Bi, S., Wang, L., Wang, F. et al. Effect of Squealer Tip with Deep Scale Depth on the Aero-thermodynamic Characteristics of Tip Leakage Flow. J. Therm. Sci. 31, 1773–1789 (2022). https://doi.org/10.1007/s11630-022-1683-4

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  • DOI: https://doi.org/10.1007/s11630-022-1683-4

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