Research Article

Some Exact Solutions of Nonlinear Fin Problem for Steady Heat Transfer in Longitudinal Fin with Different Profiles

Table 8

Symmetries for  and various .

Fin profile (parameter ) Parameter Symmetries

Arbitrary arbitrary
Rectangular arbitrary ,
, ,
Convex parabolic arbitrary
,
Triangular arbitrary
,
Concave parabolic arbitrary
,

Cubic arbitrary
, 
Exponential arbitrary
arbitrary ,