rigure $3\mathrm{.}15$

Q$2$: Consider a spine fin of exponentially variable cross$-$section $,$ where $C$ and $n$ are constants$),$ as shown in Figure $3\mathrm{.}13.$ The thermal conductivity of the spine fin material, base thickness, and length of the spine fin are $k,2^{}b,$ and $L,$ respectively. The temperature of base wall is $T_b.$ The heat transfer coefficient is $h$ and the ambient temperature of $T_{}.$ Determine: $(1)$ The steady temperature distribution along the spine fin and $(2)$ The rate of heat transfer that dissipated through the spine fin.

$27$

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Barea