2. Consider steady one-dimensional heat conduction in a pin fin of constant diameter D, like the one shown below, with constant thermal conductivity k. The fin is losing heat by convection to the...


2. Consider steady one-dimensional heat conduction in a pin fin of constant diameter D, like<br>the one shown below, with constant thermal conductivity k. The fin is losing heat by<br>convection to the ambient air at T, with a heat transfer coefficient of h. The nodal network<br>of the fin consists of nodes 0 (at the base), 1 (in the middle), and 2 (at the fin tip) with a<br>uniform nodal spacing of Ax. Using the energy balance approach, obtain the finite<br>difference formulation of this problem to determine T, and T, for the case of specified<br>temperature at the fin base and negligible heat transfer at the fin tip. Temperatures are in °C.<br>D<br>L<br>

Extracted text: 2. Consider steady one-dimensional heat conduction in a pin fin of constant diameter D, like the one shown below, with constant thermal conductivity k. 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 Ax. Using the energy balance approach, obtain the finite difference formulation of this problem to determine T, and T, for the case of specified temperature at the fin base and negligible heat transfer at the fin tip. Temperatures are in °C. D L

Jun 11, 2022
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