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

Table 2

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

𝜉	𝛽=0.4,𝜓=1			𝛽=0.2,𝜓=0.5
	NS	DTM [7]; (11)	HAM (8); (this work)	NS	DTM [7]; (11)	HAM (8); (this work)
0	0.71604	0.71604	0.71604	0.90344	0.90344	0.90344
0.05	0.71674	0.71674	0.71674	0.90368	0.90368	0.90368
0.10	0.71883	0.71883	0.71883	0.90440	0.90440	0.90440
0.15	0.72231	0.72231	0.72231	0.90559	0.90559	0.90559
0.20	0.72718	0.72718	0.72718	0.90727	0.90727	0.90727
0.25	0.73346	0.73346	0.73346	0.90942	0.90942	0.90942
0.30	0.74114	0.74114	0.74114	0.91206	0.91206	0.91206
0.35	0.75022	0.75022	0.75022	0.91517	0.91517	0.91517
0.40	0.76072	0.76072	0.76072	0.91877	0.91877	0.91877
0.45	0.77264	0.77264	0.77264	0.92285	0.92285	0.92285
0.50	0.78599	0.78599	0.78599	0.92741	0.92741	0.92741
0.55	0.80077	0.80077	0.80077	0.93246	0.93246	0.93246
0.60	0.81699	0.81699	0.81699	0.93799	0.93799	0.93799
0.65	0.83467	0.83467	0.83467	0.94402	0.94402	0.94402
0.70	0.85381	0.85381	0.85381	0.95053	0.95053	0.95053
0.75	0.87442	0.87442	0.87442	0.95753	0.95753	0.95753
0.80	0.89652	0.89652	0.89652	0.96503	0.96503	0.96503
0.85	0.92011	0.92011	0.92009	0.97302	0.97302	0.97302
0.90	0.94522	0.94522	0.94518	0.98151	0.98151	0.98151
0.95	0.97184	0.97184	0.97181	0.99050	0.99050	0.99050
1.00	1.00000	0.99999	1.00000	0.99999	0.99999	0.99999