A Linear Approach Suitable for a Class of Steady-State Heat Transfer Problems with Temperature-Dependent Thermal Conductivity

Table 3

The constants (equation (51)) evaluated with some selected values of , obtained with , , , , , and .

1	83.3333	71.4286	50.0000	38.4615	5.0000	0.5000
2	−111.1111	15.3061	37.5000	39.9408	9.3750	0.9938
3	203.7037	59.4023	40.6250	39.9977	13.2031	1.4813
4	Overflow	24.7553	39.8438	39.9999	16.5527	1.9628
5	Overflow	51.9780	40.0391	40.0000	19.4836	2.4383
6	Overflow	30.5887	39.9902	40.0000	22.0482	2.9078
7	Overflow	47.3946	40.0024	40.0000	24.2922	3.3715
8	Overflow	34.1900	39.9994	40.0000	26.2556	3.8293
9	Overflow	44.5650	40.0002	40.0000	27.9737	4.2814
10	Overflow	36.4132	40.0000	40.0000	29.4770	4.7279
11	Overflow	42.8182	40.0000	40.0000	30.7924	5.1688
12	Overflow	37.7857	40.0000	40.0000	31.9433	5.6042
13	Overflow	41.7398	40.0000	40.0000	32.9504	6.0342
14	Overflow	38.6330	40.0000	40.0000	33.8316	6.4587
15	Overflow	41.0741	40.0000	40.0000	34.6026	6.8780
20	Overflow	39.6784	40.0000	40.0000	37.2316	8.8970
30	Overflow	39.9712	40.0000	40.0000	39.2717	12.5733
40	Overflow	39.9974	40.0000	40.0000	39.8084	15.8151
50	Overflow	39.9998	40.0000	40.0000	39.9496	18.6737
100	Overflow	40.0000	40.0000	40.0000	39.9999	28.6297
200	Overflow	40.0000	40.0000	40.0000	40.0000	36.7679
300	Overflow	40.0000	40.0000	40.0000	40.0000	39.0813
400	Overflow	40.0000	40.0000	40.0000	40.0000	39.7388
500	Overflow	40.0000	40.0000	40.0000	40.0000	39.9258