Table 6. Yield-Gravity Parameter Yg at Re = 0.001 with Different Values of λ, E, and Bn.
Bn |
|||||||
---|---|---|---|---|---|---|---|
E | λ | 0.001 | 0.1 | 10 | 100 | 1000 | Critical Yg(i.e., Bn → ∞)a |
0.2 | 2 | 4.416 × 10–5 | 4.274 × 10–3 | 1.076 × 10–2 | 1.497 × 10–1 | 1.604 × 10–1 | ∼1.64 × 10–1 |
5 | 1.247 × 10–4 | 1.067 × 10–2 | 1.123 × 10–1 | 1.488 × 10–1 | 1.589 × 10–1 | ||
10 | 1.578 × 10–4 | 1.174 × 10–2 | 1.120 × 10–1 | 1.490 × 10–1 | 1.572 × 10–1 | ||
15 | 1.688 × 10–4 | 1.179 × 10–2 | 1.120 × 10–1 | 1.490 × 10–1 | 1.587 × 10–1 | ||
0.5 | 2 | 3.771 × 10–5 | 3.657 × 10–3 | 9.799 × 10–2 | 1.406 × 10–1 | 1.523 × 10–1 | ∼1.57 × 10–1 |
5 | 1.157 × 10–4 | 9.919 × 10–3 | 1.051 × 10–1 | 1.406 × 10–1 | 1.520 × 10–1 | ||
10 | 1.486 × 10–4 | 1.107 × 10–2 | 1.060 × 10–1 | 1.400 × 10–1 | 1.518 × 10–1 | ||
15 | 1.597 × 10–4 | 1.115 × 10–2 | 1.047 × 10–1 | 1.403 × 10–1 | 1.510 × 10–1 | ||
1 | 2 | 2.806 × 10–5 | 2.732 × 10–3 | 7.997 × 10–2 | 1.214 × 10–1 | 1.345 × 10–1 | ∼1.43 × 10–1 |
5 | 9.905 × 10–5 | 8.535 × 10–3 | 9.215 × 10–2 | 1.236 × 10–1 | 1.357 × 10–1 | ||
10 | 1.314 × 10–4 | 9.814 × 10–3 | 9.223 × 10–2 | 1.232 × 10–1 | 1.356 × 10–1 | ||
15 | 1.425 × 10–4 | 9.790 × 10–3 | 9.196 × 10–2 | 1.228 × 10–1 | 1.355 × 10–1 | ||
2 | 2 | 1.740 × 10–5 | 1.698 × 10–3 | 5.439 × 10–2 | 8.749 × 10–2 | 9.998 × 10–2 | ∼1.14 × 10–1 |
5 | 7.339 × 10–5 | 6.404 × 10–3 | 7.140 × 10–2 | 9.714 × 10–2 | 1.075 × 10–1 | ||
10 | 1.036 × 10–4 | 7.800 × 10–3 | 7.119 × 10–2 | 9.681 × 10–2 | 1.073 × 10–1 | ||
15 | 1.146 × 10–4 | 7.877 × 10–3 | 7.108 × 10–2 | 9.662 × 10–2 | 1.078 × 10–1 | ||
5 | 2 | 7.705 × 10–6 | 7.550 × 10–4 | 2.621 × 10–2 | 4.425 × 10–2 | 5.183 × 10–2 | ∼7.12 × 10–2 |
5 | 3.851 × 10–5 | 3.436 × 10–3 | 4.253 × 10–2 | 5.924 × 10–2 | 6.626 × 10–2 | ||
10 | 6.089 × 10–5 | 4.658 × 10–3 | 4.261 × 10–2 | 5.883 × 10–2 | 6.541 × 10–2 | ||
15 | 7.050 × 10–5 | 4.933 × 10–3 | 4.257 × 10–2 | 5.884 × 10–2 | 6.617 × 10–2 |
Extrapolation.