Question$1$: Consider steady one$-$dimensional heat conduction in a pin fin of Question$1$: Consider steady one$-$dimensional heat conduction in a pin fin of

constant diameter $D$ with constant thermal conductivity. The fin is losing heat by

convection to the ambient air at $T_{}$ with a heat transfer coefficient of $h.$ The nodal

network of the fin consists of nodes $0($at the base$),1($in the middle$),$ and $2($at the

fin tip$)$ with a uniform nodal spacing of $x.$ Using the energy balance approach,

obtain the finite difference formulation of this problem to determine $T_1$ and $T_2$ for

the case of specified temperature at the fin base and negligible heat transfer at the

fin tip. All temperatures are in $C.$

constant diameter D with constant thermal conductivity. The fin is losing heat by

convection to the ambient air at T$\backslash$infty with a heat transfer coefficient of h$.$ The nodal

network of the fin consists of nodes $0($at the base$),1($in the middle$),$ and $2($at the

fin tip$)$ with a uniform nodal spacing of $\backslash$Delta x$.$ Using the energy balance approach,

obtain the finite difference formulation of this problem to determine T$1$ and T$2$ for

the case of specified temperature at the fin base and negligible heat transfer at the

fin tip. All temperatures are in $\backslash$deg C