Analytical Solution of Nonlinear Boundary Value Problem for Fin Efficiency of Convective Straight Fins with Temperature-Dependent Thermal Conductivity

Table 1

Our work is compared with Joneidi et al.’s [7] work and exact solution of dimensionless temperature 𝜃(𝜉) (linear case).

𝜉	(a) 𝛽=0,𝜓=0.5			(b) 𝛽=0,𝜓=1
	HAM (8); (this work)	DTM [7]; (11)	Exact	HAM (8); (this work)	DTM [7]; (11)	Exact
0	0.88681	0.88681	0.88681	0.64805	0.64805	0.64805
0.05	0.88709	0.88709	0.88709	0.64886	0.64886	0.64886
0.10	0.88792	0.88792	0.88792	0.65129	0.65129	0.65129
0.15	0.88931	0.88931	0.88931	0.65535	0.65535	0.65535
0.20	0.89125	0.89125	0.89125	0.66105	0.66105	0.66105
0.25	0.89375	0.89375	0.89375	0.66841	0.66841	0.66841
0.30	0.89681	0.89681	0.89681	0.67743	0.67743	0.67743
0.35	0.90043	0.90043	0.90043	0.68815	0.68815	0.68815
0.40	0.90461	0.90461	0.90461	0.70059	0.70059	0.70059
0.45	0.90936	0.90936	0.90936	0.71478	0.71478	0.71478
0.50	0.91467	0.91467	0.91467	0.73076	0.73076	0.73076
0.55	0.92056	0.92056	0.92056	0.74856	0.74856	0.74856
0.60	0.92702	0.92702	0.92702	0.76824	0.76824	0.76824
0.65	0.93406	0.93406	0.93406	0.78984	0.78984	0.78984
0.70	0.94169	0.94169	0.94169	0.81341	0.81341	0.81341
0.75	0.94990	0.94990	0.94990	0.83902	0.83902	0.83902
0.80	0.95871	0.95871	0.95871	0.86673	0.86673	0.86673
0.85	0.96812	0.96812	0.96812	0.89660	0.89660	0.89660
0.90	0.97813	0.97813	0.97813	0.92871	0.92871	0.92871
0.95	0.98875	0.98875	0.98875	0.96315	0.96315	0.96315
1.00	1.00000	1.00000	0.99999	1.00000	1.00000	1.00000