This article studies a class of ﬁn problems with two nonlinear terms arising from thermal conductivity and convection heat transfer coefﬁcient. A one-dimensional convective straight ﬁn is analysed for exponentially temperature-dependent thermal conductivity and exponentially temperature-dependent heat transfer coefﬁcient. The exact ﬁn temperature excess, heat transfer rate and ﬁn efﬁciency are obtained and presented graphically. The obtained results show the strong inﬂuences of exponent indexes of thermal conductivity and convection transfer coefﬁcient as well as thermogeometric ﬁn parameter on the ﬁn efﬁciency and heat ﬂow.
Volume 95, 2021
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