Research Article
A Linear Approach Suitable for a Class of Steady-State Heat Transfer Problems with Temperature-Dependent Thermal Conductivity
Table 2
The constants
(equation (
51)) evaluated with some selected values of
, obtained with
, , , , , and
.
| | | | | | | |
| 1 | 1.6667 | 0.5000 | 0.1667 | 0.1000 | 0.0400 | 0.0100 | 2 | 1.9444 | 0.8750 | 0.3194 | 0.1950 | 0.0792 | 0.0200 | 3 | −0.2963 | 1.1563 | 0.4595 | 0.2853 | 0.1176 | 0.0299 | 4 | 1.6173 | 1.3672 | 0.5879 | 0.3710 | 0.1553 | 0.0397 | 5 | 1.9362 | 1.5254 | 0.7055 | 0.4524 | 0.1922 | 0.0495 | 6 | −0.1674 | 1.6440 | 0.8134 | 0.5298 | 0.2283 | 0.0593 | 7 | 1.6388 | 1.7330 | 0.9123 | 0.6033 | 0.2637 | 0.0690 | 8 | 1.9398 | 1.7998 | 1.0029 | 0.6732 | 0.2985 | 0.0786 | 9 | −0.2235 | 1.8498 | 1.0860 | 0.7395 | 0.3325 | 0.0882 | 10 | 1.6294 | 1.6507 | 1.1622 | 0.8025 | 0.3659 | 0.0978 | 11 | 1.9382 | 1.7380 | 1.2320 | 0.8624 | 0.3985 | 0.1073 | 12 | −0.1990 | 1.8035 | 1.2960 | 0.9193 | 0.4306 | 0.1168 | 13 | 1.6335 | 1.8360 | 1.3547 | 0.9733 | 0.4620 | 0.1262 | 14 | 1.9389 | 1.7061 | 1.4085 | 1.0247 | 0.4927 | 0.1355 | 15 | −0.2097 | 1.7796 | 1.4577 | 1.0734 | 0.5229 | 0.1449 | 20 | 1.9387 | 1.6996 | 1.6490 | 1.2830 | 0.6648 | 0.1908 | 30 | −0.2064 | 1.8498 | 1.8103 | 1.5707 | 0.9090 | 0.2792 | 40 | 1.6323 | 1.8362 | 1.8100 | 1.7430 | 1.1086 | 0.3634 | 50 | 1.9387 | 1.7377 | 1.8100 | 1.8100 | 1.2717 | 0.4434 | 100 | 1.6323 | 1.8486 | 1.8100 | 1.8100 | 1.7348 | 0.7885 | 200 | 1.9387 | 1.7833 | 1.8100 | 1.8100 | 1.8100 | 1.2661 | 300 | −0.2065 | 1.8468 | 1.8100 | 1.8100 | 1.8100 | 1.5554 | 400 | 1.6323 | 1.6673 | 1.8100 | 1.8100 | 1.8100 | 1.7307 | 500 | 1.9387 | 1.7582 | 1.8100 | 1.8100 | 1.8100 | 1.8099 |
|
|