Fig.1

Variation of phase speed with Reynolds number Re［16］

Fig.2

Gaussian disturbance amplitude curve and frequency spectrum

Fig.3

Schematic of computational domain and model

Fig.4

Schematic of computational grid

Fig.5

Comparison of temperature profiles between present simulation and Ref. ［32］

Fig.6

Comparison of wall-pressure fluctuations between present simulation and Ref. ［32］

Fig.7

Comparison of spatial growth rate between present simulation and Ref. ［33］

Fig.8

Temperature profiles at different streamwise stations （Tw=300 K）

Fig.9

Velocity profiles at x=312 mm with different wall temperatures

Fig.10

Neutral curves of the first and second modes

Fig.11

N-factor curves with different wall temperatures

Fig.12

Variation of transitional Reynolds number with wall temperature ratio （N=15）

Fig.13

Variation of scaled transitional Reynolds number with N-factor

Fig.14

Contours of instantaneous temperature disturbance at different times near head （Tw=300 K）

Fig.15

Contours of instantaneous entropy disturbance and pressure disturbance at different times （Tw = 300 K）

Fig.16

Contours of instantaneous entropy disturbance and pressure disturbance with different wall temperatures

Fig.17

Variation of wall pressure fluctuations with time at different streamwise stations

Fig.18

Variation of wall pressure fluctuations with time at different streamwise stations （Tw=300 K）

Fig.19

Variation of wall pressure fluctuations with time at different streamwise stations （Tw=200 K）

Fig.20

Contours of wall pressure fluctuations obtained by Fourier transform with different temperatures

Fig.21

Contours of instantaneous entropy disturbance along flare cone surface when wall temperature Tw=300 K

Fig.22

Frequency spectrum of wall pressure fluctuations with different wall temperature at different streamwise stations

Fig.23

Frequency spectrum of wall pressure fluctuations at different streamwise stations （Tw= 300 K）

Fig.24

Phase speed and growth rates of 293 kHz disturbances obtained from DNS and LST （Tw= 300 K）

Fig.25

Variation of receptivity coefficient with frequency at different wall temperature

Fig.26

Variation of receptivity coefficient with wall temperature ratio