Temperature Distribution in Porous Fins, Subjected to Convection and Radiation, Obtained from the Minimization of a Convex Functional

Table 1

Temperature gradient for distinct values of , , and computed in the present paper and by Gorla and Bakier [13] for insulated fin and very long fin.

			insulated	[13] insulated	long	[13] long
1.00	10.0	0.01	2.17619	2.1763	2.21137	2.2111
1.00	10.0	0.10	2.64106	2.6413	2.66766	2.6678
1.00	10.0	0.50	5.44088	5.4420	5.44419	5.4467
1.00	10.0	1.00	10.22574		10.21980
1.00	1.00	0.01	0.93334	0.9334	1.06124	1.0582
1.00	1.00	0.10	1.04642	1.0464	1.15980	1.1574
1.00	1.00	0.50	1.82689	1.8269	1.89033	1.8901
1.00	1.00	1.00	3.30814		3.32628
1.00	0.10	0.01	0.68614	0.6861	0.86847	0.8637
1.00	0.10	0.10	0.70212	0.7021	0.88081	0.8762
1.00	0.10	0.50	0.83892	0.8389	0.99593	0.9928
1.00	0.10	1.00	1.18902		1.31176
10.0	10.0	0.01	3.27878	3.2791	3.29690	3.2975
10.0	10.0	0.10	3.60551	3.6059	3.61979	3.6206
10.0	10.0	0.50	5.96756	5.9690	5.96904	5.9722
10.0	10.0	1.00	10.51447		10.50804
10.0	1.00	0.01	2.63499	2.6351	2.66264	2.6628
10.0	1.00	0.10	2.67758	2.6777	2.70427	2.7044
10.0	1.00	0.50	3.07271	3.0729	3.09290	3.0932
10.0	1.00	1.00	4.12188		4.13045
10.0	0.10	0.01	2.56154	2.5616	2.59067	2.5907
10.0	0.10	0.10	2.56595	2.5660	2.59498	2.5951
10.0	0.10	0.50	2.60992	2.6100	2.63801	2.6381
10.0	0.10	1.00	2.75047		2.77625
100.0	10.0	0.01	8.41470	8.4178	8.41173	8.4185
100.0	10.0	0.10	8.54630	8.5496	8.54306	8.5506
100.0	10.0	0.50	9.77565	9.7806	9.77013	9.7810
100.0	10.0	1.00	13.05389		13.04186
100.0	1.00	0.01	8.18740	8.1899	8.18510	8.1907
100.0	1.00	0.10	8.20103	8.2036	8.19870	8.2043
100.0	1.00	0.50	8.33727	8.3400	8.33474	8.3407
100.0	1.00	1.00	8.77516		8.77199
100.0	0.10	0.01	8.16432	8.1668	8.16209	8.1676
100.0	0.10	0.10	8.16569	8.2036	8.17722	8.1689
100.0	0.10	0.50	8.17948	8.1820	8.16159	8.1824
100.0	0.10	1.00	8.22515		8.20699
1000.0	1.00	0.01	25.57136		25.81644