Fig. 17. Image Sequence of Wall Movement (3 and 1.5 Mm) During Pulsatile Flow in an Asymmetric

Fig. 17. Image sequence of wall movement (3 and 1.5 mm) during pulsatile flow in an asymmetric constriction: Re = (a) 300, (b) 500, and (c) 800 respectively. The flow frequency is 1.2 Hz.

Fig. 18. Instantaneous radial wall displacement of points 1-3 of Fig. 1(e). Wall thickness is 1.5 mm. Each column represents points 1, 2 and 3. For each row, Re = (a) 300 (b) 500 and (c) 800. Flow frequency = 1.2 Hz. The normalized flow generated by the cardio flow pump is also shown.

Fig. 19. Power spectral density (PSD) of wall points (vertical columns, points 1, 2 and 3) during pulsatile flow in an asymmetric constriction (3mm) at Re = (a) 300 (b) 500 and (c) 800 and frequency =1.2 Hz.

Fig. 20. Power Spectral density (PSD) of tracked wall points (vertical columns, points 1, 2 and 3) during pulsatile flow in an asymmetric constriction (1.5 mm) at Re = (a) 300 (b) 500 (c) 800 and frequency =1.2 Hz.

Fig. 21. Phase diagram of tracked wall points (vertical columns, points 1, 2 and 3) during pulsatile flow in a straight tube (a) 3mm (b) 1.5 mm; and asymmetric constriction (c) 3mm and (d) 1.5 mm for Re = 800 and frequency = 1.2 Hz.

Table 2: Largest Lyapunov Exponent (LLE) of wall displacement at points 1, 2 and 3 for varying Reynolds numbers (Re= 300, 500 and 800) and wall compliance (thick (3mm) and thin (1.5 mm))

Model / Points / Reynolds number (Re) / LLE (× 103)
Stenosed tube
(Thick) / 1 / 300 / 0.015
500 / 0.028
800 / 0.105
2 / 300 / 0.103
500 / 0.157
800 / 0.197
3 / 300 / 0.108
500 / 0.165
800 / 0.232
Stenosed tube
(Thin) / 1 / 300 / 0.101
500 / 0.106
800 / 0.166
2 / 300 / 0.111
500 / 0.194
800 / 0.256
3 / 300 / 0.114
500 / 0.246
800 / 0.301