Driver and Seegmiller backstep auxiliary data. Contents (tables 1-3 for alpha=0 and 6 deg.): Table 1. REATTACHMENT LENGTH for REARWARD FACING STEP FLOW with 9:1 Expansion Ratio, H=12.7mm Table 2. PRESSURE DISTRIBUTION FOR REARWARD FACING STEP FLOW H=12.7mm, 9:1 Expansion Ratio Table 3. SKIN-FRICTION DISTRIBUTION FOR REARWARD FACING STEP with H = 12.7 mm, Expansion Ratio = 9:1 Table 4a. PITOT VELOCITY PROFILES FOR REARWARD FACING STEP WITH 9:1 EXPANSION RATIO WALL DEFLECTION = 0.0000000E+00 X/H= -4.000000 Table 4b. PITOT VELOCITY PROFILES FOR REARWARD FACING STEP WITH 9:1 EXPANSION RATIO WALL DEFLECTION = 0.0000000E+00 X/H= 36.00000 Table 4c. PITOT VELOCITY PROFILES FOR REARWARD FACING STEP WITH 9:1 EXPANSION RATIO WALL DEFLECTION = 6.000000 X/H= -4.000000 Table 4.d PITOT VELOCITY PROFILES FOR REARWARD FACING STEP WITH 9:1 EXPANSION RATIO WALL DEFLECTION = 6.000000 X/H= 36.00000 ********************************************************** Table 1. REATTACHMENT LENGTH for REARWARD FACING STEP FLOW with 9:1 Expansion Ratio, H=12.7mm Determined by laser oil-flow interferometer measurements of skin-friction and interpolation of the zero skin-friction location Roof Angle Reattachment Length (degrees) Xr/H dXr/H -2.0 5.82 +- 0.08 0.0 6.26 +- 0.10 2.0 6.72 +- 0.10 4.0 7.44 +- 0.25 6.0 8.30 +- 0.15 8.0 9.22 +- 0.24 10.0 10.18 +- 0.50 Table 2. PRESSURE DISTRIBUTION FOR REARWARD FACING STEP FLOW H=12.7mm, 9:1 Expansion Ratio Cp for Stepside wall _________________________________ X/H a=-2 a=0 a=6 a=10 -8.5 0.0000 0.0039 0.0117 0.0088 -6.5 0.0000 0.0000 0.0136 0.0108 -4.5 -0.0059 -0.0048 0.0166 0.0187 -2.5 -0.0296 -0.0231 0.0214 0.0266 -0.5 -0.0642 -0.0472 0.0283 0.0512 0.0 -0.0859 -0.0607 0.0361 0.0610 0.5 -0.0899 -0.0636 0.0331 0.0600 1.0 -0.0899 -0.0665 0.0312 0.0571 1.5 0.0292 0.0571 2.0 -0.1017 -0.0742 0.0253 0.0571 2.5 0.0502 3.0 -0.1037 -0.0762 0.0185 0.0482 3.5 -0.0830 -0.0665 0.0253 4.0 -0.0464 -0.0424 0.0400 0.0581 4.5 0.0049 0.0077 0.0585 5.0 0.0494 0.0482 0.0829 0.0876 5.5 0.0771 0.0782 6.0 0.1037 0.1129 0.1297 0.1251 6.5 0.1205 0.1303 7.0 0.1275 0.1389 0.1667 0.1556 8.0 0.1304 0.1515 0.1989 0.1871 8.5 0.2115 9.0 0.1225 0.1535 0.2203 0.2117 9.5 0.2310 11.0 0.0978 0.1477 0.2544 0.2551 12.0 0.2641 13.0 0.0751 0.1409 0.2749 0.2846 15.0 0.0534 0.1342 0.2924 0.3073 17.0 0.0385 0.1303 0.3080 0.3280 19.5 0.0168 0.1285 0.3265 0.3448 21.5 0.0010 0.1246 0.3402 0.3596 23.5 -0.0168 0.1227 0.3528 0.3723 25.5 -0.0346 0.1227 0.3674 0.3813 27.5 -0.0494 0.1218 0.3821 0.3921 29.5 -0.0652 0.1218 0.3889 0.4011 31.5 -0.0850 0.1199 0.4035 0.4090 33.5 -0.1048 0.1160 0.4133 0.4139 35.5 -0.1236 0.1189 0.4279 0.4198 37.5 -0.1463 0.1141 0.4347 0.4209 PRESSURE DISTRIBUTION FOR REARWARD FACING STEP FLOW H=12.7mm, 9:1 Expansion Ratio Cp Opposing wall _________________________________ X/H a=-2 a=0 a=6 a=10 -5.0 0.0178 0.0087 0.0039 -0.0108 3.0 0.0306 0.0414 0.0799 0.0896 5.0 0.0300 0.0511 0.1248 0.1536 7.0 0.0296 0.0598 0.1627 0.1989 9.0 0.0425 0.0810 0.1989 0.2471 11.0 0.0504 0.0993 0.2320 0.2816 13.0 0.0454 0.1118 0.2612 0.3092 15.0 0.0336 0.1138 0.2846 0.3338 17.0 0.0286 0.1206 0.3080 0.3545 19.0 0.0148 0.1216 0.3246 0.3683 21.0 0.0010 0.1216 0.3402 0.3821 23.0 -0.0158 0.1207 0.3538 0.3890 25.0 -0.0296 0.1236 0.3713 0.3979 27.0 -0.0474 0.1217 0.3840 0.4029 29.0 -0.0642 0.1208 0.3947 0.4079 31.0 -0.0811 0.1189 0.4055 0.4178 33.0 -0.1038 0.1160 0.4133 0.4178 35.0 -0.1236 0.1179 0.4298 0.4228 37.0 -0.1464 0.1131 0.4396 0.4239 Table 3. SKIN-FRICTION DISTRIBUTION FOR REARWARD FACING STEP with H = 12.7 mm, Expansion Ratio = 9:1 Determined by laser oil-flow interferometer measurements Alpha = 0 degrees Uncertainty X/H Cf (dCf/Cf) -3.956 0.00288 0.07 -1.804 0.00285 0.06 -0.804 0.00311 0.10 0.000 0.00000 0.00 0.484 0.00009 0.15 1.804 -0.00011 0.17 2.804 -0.00052 0.21 3.804 -0.00102 0.16 4.804 -0.00082 0.15 5.882 -0.00022 0.28 7.090 0.00045 0.37 7.978 0.00102 0.12 9.196 0.00118 0.09 11.196 0.00154 0.08 13.196 0.00173 0.07 16.196 0.00191 0.07 20.196 0.00202 0.07 24.136 0.00204 0.07 28.130 0.00205 0.10 32.196 0.00212 0.07 35.994 0.00230 0.08 Alpha = 6 degrees Uncertainty X/H Cf (dCf/Cf) -3.854 0.00268 0.09 -1.844 0.00264 0.08 -0.804 0.00258 0.07 0.000 0.00000 0.00 0.238 0.00014 0.07 1.790 -0.00011 0.10 2.804 -0.00033 0.16 3.804 -0.00066 0.13 4.804 -0.00079 0.14 5.804 -0.00058 0.10 6.804 -0.00037 0.30 7.804 -0.00008 0.37 9.876 0.00031 0.17 11.196 0.00047 0.13 12.196 0.00059 0.12 14.196 0.00066 0.10 16.198 0.00073 0.07 20.196 0.00077 0.06 28.106 0.00077 0.06 36.196 0.00079 0.08 Table 4a. PITOT VELOCITY PROFILES FOR REARWARD FACING STEP WITH 9:1 EXPANSION RATIO WALL DEFLECTION = 0.0000000E+00 X/H= -4.000000 Step side wall Opposite Wall ________________________________________________ _____________________________ Centerline Z=0 Z/H = -2 Z/H = +2 Centerline Z=0 Z/H = -2 ------------- ------------ ------------ ------------ ------------ J Y(mm) U/Ue Y(mm) U/Ue Y(mm) U/Ue Y(mm) U/Ue Y(mm) U/Ue 1 0.18 0.442 0.15 0.404 0.15 0.377 0.15 0.397 0.21 0.500 2 0.23 0.469 0.22 0.476 0.18 0.433 0.26 0.492 0.24 0.528 3 0.35 0.532 0.34 0.551 0.30 0.540 0.36 0.532 0.34 0.550 4 0.55 0.575 0.54 0.595 0.49 0.581 0.56 0.566 0.59 0.586 5 0.85 0.617 0.89 0.635 0.84 0.632 0.81 0.594 1.14 0.641 6 1.35 0.663 1.39 0.669 1.34 0.674 1.31 0.639 2.14 0.701 7 1.85 0.697 2.39 0.725 2.34 0.723 2.06 0.687 4.14 0.782 8 2.35 0.721 3.89 0.772 3.84 0.775 3.06 0.731 8.14 0.898 9 3.10 0.749 6.39 0.839 6.34 0.838 4.06 0.769 12.14 0.975 10 3.85 0.774 9.89 0.906 9.84 0.909 5.06 0.804 14.14 0.992 11 4.85 0.802 14.89 0.988 15.84 0.987 6.56 0.848 16.14 0.997 12 6.35 0.838 17.89 1.000 17.84 0.998 8.06 0.886 20.14 0.998 13 7.85 0.867 19.89 1.000 19.84 0.998 10.06 0.932 25.14 1.000 14 9.85 0.905 24.89 0.999 24.84 1.000 12.06 0.968 35.14 1.000 15 11.85 0.932 47.89 1.000 47.84 1.000 14.06 0.990 45.14 1.000 16 13.85 0.959 0.00 0.000 0.00 0.000 16.06 0.999 0.00 0.000 17 15.85 0.981 0.00 0.000 0.00 0.000 18.06 1.000 0.00 0.000 18 16.85 0.990 0.00 0.000 0.00 0.000 20.06 1.000 0.00 0.000 19 17.85 0.994 0.00 0.000 0.00 0.000 25.06 1.000 0.00 0.000 20 19.85 0.998 0.00 0.000 0.00 0.000 35.06 1.000 0.00 0.000 21 21.85 0.998 0.00 0.000 0.00 0.000 45.06 1.000 0.00 0.000 22 24.85 0.998 0.00 0.000 0.00 0.000 47.81 1.000 0.00 0.000 23 29.85 0.999 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 24 29.85 0.999 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 25 47.85 1.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 J O(mm) Ue(m/s) O(mm) Ue(m/s) O(mm) Ue(m/s) O(mm) Ue(m/s) O(mm) Ue(m/s) 40 1.90 44.879 1.85 44.045 1.83 44.242 1.72 43.852 1.63 43.961 Table 4b. PITOT VELOCITY PROFILES FOR REARWARD FACING STEP WITH 9:1 EXPANSION RATIO WALL DEFLECTION = 0.0000000E+00 X/H= 36.00000 Step side wall Opposite Wall ________________________________________________ _____________________________ Centerline Z=0 Z/H = -2 Z/H = +2 Centerline Z=0 Z/H = -2 ------------- ------------ ------------ ------------ ------------ J Y(mm) U/Ue Y(mm) U/Ue Y(mm) U/Ue Y(mm) U/Ue Y(mm) U/Ue 1 0.18 0.422 0.15 0.355 0.15 0.369 0.15 0.328 0.20 0.416 2 0.21 0.451 0.18 0.451 0.18 0.413 0.20 0.382 0.22 0.460 3 0.26 0.482 0.23 0.493 0.23 0.450 0.25 0.444 0.27 0.471 4 0.41 0.521 0.38 0.546 0.38 0.523 0.45 0.507 0.47 0.527 5 0.66 0.562 0.63 0.534 0.72 0.584 0.85 0.550 0.82 0.578 6 1.16 0.611 1.13 0.637 1.22 0.627 1.45 0.597 1.32 0.605 7 2.16 0.658 2.13 0.671 2.22 0.670 2.45 0.643 2.32 0.651 8 3.66 0.699 3.63 0.712 3.72 0.710 4.45 0.699 4.32 0.707 9 5.66 0.730 5.63 0.741 5.72 0.740 7.45 0.762 7.32 0.771 10 8.66 0.766 8.63 0.778 8.72 0.777 11.45 0.841 11.32 0.847 11 12.66 0.810 12.63 0.822 12.72 0.821 15.45 0.906 15.32 0.916 12 15.16 0.837 17.63 0.874 17.72 0.876 19.45 0.962 19.32 0.970 13 17.66 0.863 21.63 0.916 21.72 0.916 22.45 0.988 22.32 0.992 14 19.66 0.887 24.63 0.941 24.72 0.942 24.45 0.997 24.32 0.999 15 21.66 0.907 27.63 0.954 27.72 0.964 26.45 1.000 26.32 1.001 16 24.66 0.935 30.63 0.976 30.72 0.979 50.45 1.000 50.32 1.000 17 27.66 0.957 49.30 1.000 49.39 1.000 0.00 0.000 0.00 0.000 18 30.66 0.972 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 19 33.66 0.987 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 20 36.66 0.992 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 21 39.66 0.997 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 22 49.33 1.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 23 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 24 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 25 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 J O(mm) Ue(m/s) O(mm) Ue(m/s) O(mm) Ue(m/s) O(mm) Ue(m/s) O(mm) Ue(m/s) 40 4.09 41.063 3.83 41.298 3.84 41.346 2.98 41.437 2.85 41.140 Table 4c. PITOT VELOCITY PROFILES FOR REARWARD FACING STEP WITH 9:1 EXPANSION RATIO WALL DEFLECTION = 6.000000 X/H= -4.000000 Step side wall Opposite Wall ________________________________________________ _____________________________ Centerline Z=0 Z/H = -2 Z/H = +2 Centerline Z=0 Z/H = -2 ------------- ------------ ------------ ------------ ------------ J Y(mm) U/Ue Y(mm) U/Ue Y(mm) U/Ue Y(mm) U/Ue Y(mm) U/Ue 1 0.20 0.450 0.15 0.374 0.16 0.386 0.15 0.375 0.22 0.468 2 0.27 0.496 0.25 0.473 0.22 0.443 0.25 0.465 0.35 0.539 3 0.37 0.539 0.55 0.571 0.52 0.578 0.55 0.558 0.65 0.604 4 0.62 0.587 1.15 0.640 0.92 0.626 1.15 0.624 1.15 0.649 5 1.12 0.634 2.05 0.692 1.67 0.678 2.35 0.708 2.35 0.717 6 1.92 0.686 4.05 0.767 3.67 0.764 4.35 0.781 4.35 0.798 7 3.92 0.764 7.05 0.846 6.67 0.844 7.35 0.871 7.35 0.885 8 6.92 0.843 11.05 0.923 10.67 0.922 11.35 0.958 11.35 0.966 9 10.92 0.921 14.05 0.966 13.67 0.965 14.35 0.992 14.35 0.995 10 13.92 0.963 17.05 0.989 16.67 0.991 16.35 0.999 16.35 1.000 11 15.92 0.981 19.05 0.998 18.67 0.997 23.35 1.000 23.35 1.000 12 17.92 0.993 24.05 0.999 23.67 1.000 48.35 1.000 48.35 1.000 13 18.92 0.996 48.55 1.000 48.17 1.000 0.00 0.000 0.00 0.000 14 23.92 0.999 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 15 48.42 1.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 16 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 17 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 18 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 19 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 20 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 21 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 22 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 23 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 24 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 25 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 J O(mm) Ue(m/s) O(mm) Ue(m/s) O(mm) Ue(m/s) O(mm) Ue(m/s) O(mm) Ue(m/s) 40 1.93 43.598 1.94 43.795 1.86 43.821 1.70 44.159 2.21 43.823 Table 4.d PITOT VELOCITY PROFILES FOR REARWARD FACING STEP WITH 9:1 EXPANSION RATIO WALL DEFLECTION = 6.000000 X/H= 36.00000 Step side wall Opposite Wall ________________________________________________ _____________________________ Centerline Z=0 Z/H = -2 Z/H = +2 Centerline Z=0 Z/H = -2 ------------- ------------ ------------ ------------ ------------ J Y(mm) U/Ue Y(mm) U/Ue Y(mm) U/Ue Y(mm) U/Ue Y(mm) U/Ue 1 0.18 0.246 0.15 0.215 0.16 0.223 0.15 0.129 0.18 0.149 2 0.28 0.278 0.35 0.293 0.38 0.304 0.25 0.168 0.28 0.214 3 0.43 0.318 0.85 0.378 0.78 0.381 0.50 0.215 0.53 0.244 4 0.93 0.374 2.10 0.429 1.38 0.416 1.00 0.276 1.03 0.271 5 1.68 0.410 4.10 0.466 3.38 0.465 2.00 0.310 2.90 0.314 6 3.68 0.458 9.10 0.529 8.38 0.526 3.50 0.340 5.90 0.374 7 5.68 0.482 19.10 0.648 18.38 0.652 5.50 0.375 10.90 0.459 8 8.68 0.510 29.10 0.792 28.38 0.788 8.00 0.420 15.90 0.592 9 13.68 0.563 39.10 0.913 38.38 0.910 11.00 0.481 19.90 0.671 10 18.68 0.628 44.10 0.953 43.38 0.954 15.00 0.570 24.90 0.792 11 23.68 0.700 48.60 0.977 47.88 0.976 20.00 0.690 28.90 0.878 12 28.68 0.769 53.99 0.997 53.78 0.993 25.00 0.804 31.90 0.930 13 33.68 0.832 58.99 0.999 58.78 0.998 29.00 0.883 35.90 0.981 14 38.68 0.895 73.49 1.000 72.28 1.000 32.00 0.933 39.90 1.000 15 43.68 0.942 0.00 0.000 0.00 0.000 34.00 0.961 47.90 1.000 16 48.18 0.969 0.00 0.000 0.00 0.000 36.00 0.981 0.00 0.000 17 53.32 0.987 0.00 0.000 0.00 0.000 38.00 0.992 0.00 0.000 18 58.32 0.997 0.00 0.000 0.00 0.000 43.00 0.998 0.00 0.000 19 63.32 0.999 0.00 0.000 0.00 0.000 50.50 1.000 0.00 0.000 20 72.82 1.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 21 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 22 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 23 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 24 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 25 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 0.00 0.000 J O(mm) Ue(m/s) O(mm) Ue(m/s) O(mm) Ue(m/s) O(mm) Ue(m/s) O(mm) Ue(m/s) 40 8.67 33.432 8.31 33.801 8.22 33.785 6.54 33.678 6.58 33.236