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554
555
FM2006.008 (2008)
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557
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558
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559
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560
561
34
A. Kawasaki and J. Kasahara, A novel characteristic length of detonation relevant to supercritical diffraction,
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562
563
564
565
566
567
568
569
Table 1
570
velocities and stability parameters were calculated using the NASA CEA code [31, 32] and
571
ZND code [34] with GRI-Mech 3.0 [35], respectively, at p0 = 50 kPa and T0 = 293 K.
Experimental conditions and typical mixture characteristics. CJ detonation
yAr
[%]
lc
[mm]
DCJ
[m/s]
Cell data
10, 20
2340
26
Eq. 2
[10, 38, 39]
E2
50
10
1940
9.7
Eq. 3
[38, 40]
E3
67
10
1800
6.3
Eq. 4
E4
75
10
1720
4.9
Eq. 5
[38]
10
2390
28
Eq. 6
[16, 41–48]
80
10
1690
5.9
Eq. 7
[16, 48]
Mixture
E1
A1
A2
C2H4 + 3O2 / Ar
2C2H2 + 5O2 / Ar
572
573
35
A. Kawasaki and J. Kasahara, A novel characteristic length of detonation relevant to supercritical diffraction,
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574
575
576
577
578
579
580
Fig. 1. Schematic of observation chamber.
581
582
36
A. Kawasaki and J. Kasahara, A novel characteristic length of detonation relevant to supercritical diffraction,
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583
584
585
586
587
588
Fig. 2. Typical sequences of single detonation diffraction processes for C2H4 + 3O2 (E1) and lc = 10 mm. (a)
589
Schlieren photographs for supercritical diffraction, p0 = 30 kPa, T0 = 20 °C, frame interval = 2 s. See also Movie
590
1a, available as supplementary material. (b) Schlieren photographs for subcritical diffraction, p0 = 10 kPa, T0 =
591
20 °C, frame interval = 2 s. See also Movie 1b, available as supplementary material. (c) Illustration of a reflection
592
event of a transverse detonation wave in supercritical diffraction, frame interval = 1 s.
593
594
37
A. Kawasaki and J. Kasahara, A novel characteristic length of detonation relevant to supercritical diffraction,
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595
596
597
598
599
600
601
Fig. 3. Reflection point distance vs. initial pressure for supercritical diffraction in ethylene mixtures (E1–E4).
602
603
38
A. Kawasaki and J. Kasahara, A novel characteristic length of detonation relevant to supercritical diffraction,
SHOCK WAVES, Vol. 30, No. 1, 2020, pp. 1-12
604
605
606
607
608
609
610
Fig. 4. Reflection point distance vs. initial pressure for supercritical diffraction in acetylene mixtures (A1–A2).
611
612
39
A. Kawasaki and J. Kasahara, A novel characteristic length of detonation relevant to supercritical diffraction,
SHOCK WAVES, Vol. 30, No. 1, 2020, pp. 1-12
613
614
615
616
617
618
619
Fig. 5. Reflection point distance vs. initial partial pressure of fuel for supercritical diffraction in ethylene mixtures
620
(E1–E4).
621
40
A. Kawasaki and J. Kasahara, A novel characteristic length of detonation relevant to supercritical diffraction,
SHOCK WAVES, Vol. 30, No. 1, 2020, pp. 1-12
622
623
624
625
626
627
628
Fig. 6. Reflection point distance vs. initial partial pressure of fuel for supercritical diffraction in acetylene mixtures
629
(A1–A2).
630
41
A. Kawasaki and J. Kasahara, A novel characteristic length of detonation relevant to supercritical diffraction,
SHOCK WAVES, Vol. 30, No. 1, 2020, pp. 1-12
631
632
633
634
635
636
637
Fig. 7. Product of reflection point distance and initial pressure vs. argon mole fraction for supercritical diffraction.
638
639
42
A. Kawasaki and J. Kasahara, A novel characteristic length of detonation relevant to supercritical diffraction,
SHOCK WAVES, Vol. 30, No. 1, 2020, pp. 1-12
640
641
642
643
644
645
646
Fig. 8. Ratio of re-evaluated reflection point distance to channel width vs. argon mole fraction in ethylene mixtures
647
(E1–E4). The reflection point distances were re-evaluated by using the fitted curves shown in Fig. 5. For the
648
subcritical diffraction, data points were given by extrapolation.
649
650
43
A. Kawasaki and J. Kasahara, A novel characteristic length of detonation relevant to supercritical diffraction,
SHOCK WAVES, Vol. 30, No. 1, 2020, pp. 1-12
651
652
653
654
655
656
657
Fig. 9. Ratio of re-evaluated reflection point distance to channel width vs. argon mole fraction in acetylene
658
mixtures (A1–A2). The reflection point distances were re-evaluated by using the fitted curves shown in Fig. 6. For
659
the subcritical diffraction, data points were given by extrapolation.
660
661
44
A. Kawasaki and J. Kasahara, A novel characteristic length of detonation relevant to supercritical diffraction,
SHOCK WAVES, Vol. 30, No. 1, 2020, pp. 1-12
662
663
664
665
666
667
668
Fig. 10. Ratio of channel width to cell width vs. argon mole fraction in ethylene mixtures (E1–E4).
669
670
45
A. Kawasaki and J. Kasahara, A novel characteristic length of detonation relevant to supercritical diffraction,
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671
672
673
674
675
676
677
Fig. 11. Ratio of channel width to cell width vs. argon mole fraction in acetylene mixtures (A1–A2).
678
679
46
...