Table 9 Variations in temperature profile against \(\xi\) if \(f(\tau ) = 1\) for different values of \(\alpha\).
\(\xi\) | \(\theta (\xi ,\tau )\) at \(\alpha = 0.3\) | \(\theta (\xi ,\tau )\) at \(\alpha = 0.5\) | \(\theta (\xi ,\tau )\) at \(\alpha = 0.7\) | \(\theta (\xi ,\tau )\) at \(\alpha = 1.0\) |
|---|---|---|---|---|
0 | 0 | 0 | 0 | 0 |
0.04 | 0.019 | 0.023 | 0.027 | 0.032 |
0.08 | 0.039 | 0.046 | 0.054 | 0.063 |
0.12 | 0.059 | 0.069 | 0.081 | 0.095 |
0.16 | 0.079 | 0.093 | 0.108 | 0.127 |
0.2 | 0.1 | 0.117 | 0.137 | 0.16 |
0.24 | 0.122 | 0.142 | 0.165 | 0.193 |
0.28 | 0.145 | 0.168 | 0.195 | 0.227 |
0.32 | 0.169 | 0.195 | 0.226 | 0.262 |
0.36 | 0.194 | 0.224 | 0.257 | 0.297 |
0.4 | 0.221 | 0.254 | 0.29 | 0.333 |
0.44 | 0.25 | 0.285 | 0.324 | 0.37 |
0.48 | 0.281 | 0.318 | 0.36 | 0.408 |
0.52 | 0.315 | 0.354 | 0.397 | 0.448 |
0.56 | 0.35 | 0.391 | 0.436 | 0.488 |
0.6 | 0.389 | 0.431 | 0.476 | 0.529 |
0.64 | 0.431 | 0.474 | 0.519 | 0.571 |
0.68 | 0.476 | 0.519 | 0.563 | 0.614 |
0.72 | 0.525 | 0.567 | 0.61 | 0.658 |
0.76 | 0.578 | 0.619 | 0.66 | 0.703 |
0.8 | 0.635 | 0.674 | 0.712 | 0.75 |
0.84 | 0.697 | 0.733 | 0.767 | 0.8 |
0.88 | 0.764 | 0.795 | 0.824 | 0.851 |
0.92 | 0.837 | 0.86 | 0.884 | 0.905 |
0.96 | 0.915 | 0.929 | 0.943 | 0.958 |
1 | 1 | 1 | 1 | 1 |
