Fig.1

Schematic diagram of air-cooled grooved blade tip model

Table 1

Main geometric parameters of blade

Fig.2

Grid details and y+ distribution on blade tip surface

Table 2

Calculating boundary conditions

Fig.3

Setting of each boundary surface in dynamic mesh

Fig.4

Function curve of controlling blade radial vibration

Fig.5

Radial displacement curve of blade tip in 0-0.65 s

Fig.6

Average static pressure change of grooved blade tip surface

Fig.7

Circumferential average heat transfer coefficient distribution on bottom surface of grooves with different turbulence models and reference test results

Fig.8

Cooling efficiency distribution of grooved blade tip gas film with different turbulence models

Table 3

Average heat transfer coefficients of grooved blade tip surface under different mesh numbers

Fig.9

Total pressure loss contours of non-air-cooled blade tip region on cascade outlet surface

Fig.10

Variation curves of gap leakage flow in different vibration periods

Fig.11

Total pressure loss coefficient contours of outlet of non-air-cooled groove tip cascade at 9 time points of each vibration period

Fig.12

Circumferential average total pressure loss curve along blade height at outlet of non-air-cooled tip cascade

Fig.13

Distribution of change rate of heat transfer coefficient of non-air-cooled groove blade tip

Fig.14

Heat transfer coefficient and leakage streamline distribution of leading-edge wall at each time point of Period 9 as well as non-vibration

Fig.15

Vortex distribution near blade tip （Q criterion）

Fig.16

Variation of circumferential average heat transfer coefficient of bottom surface of non-air-cooled blade tip groove and top surface of shoulder wall in each vibration period

Fig.17

Total pressure loss contours of air-cooled blade tip region of cascade outlet surface

Fig.18

Total pressure loss coefficient contours outlet of air-cooled groove tip cascade at 9 time points of each vibration period

Fig.19

Circumferential average total pressure loss curves along blade height at outlet of air-cooled grooved blade tip cascade

Fig.20

Variation curves of average total pressure loss coefficient of cascade outlet surface in different vibration periods of air-cooled groove tip

Fig.21

Mean value and peak-to-peak value of average total pressure loss coefficient at outlet surface of cascade varying with amplitude

Fig.22

Heat transfer coefficient distribution of non-vibration grooved blade tip

Fig.23

Distribution of change rate of heat transfer coefficient of air-cooled groove blade tip

Fig.24

Variation curves of average heat transfer coefficient on blade tip surface in different vibration periods

Fig.25

Mean value and peak-to-peak value of average heat transfer coefficient at blade tip surface varying with amplitude

Fig.26

Variations of circumferential average heat transfer coefficient of bottom surface of air-cooled blade tip groove and top surface of shoulder wall in each vibration period