3-069-S-HeatInBar
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Abstract
The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches. A series of experiments are designed to study the effects of materials, ambient fluid flows, geometric characteristics, and boundary conditions on the temperatures at prescribed locations of the bar. A steady-state temperature distribution model is developed based on the principle of conservation of energy. The resulting second-order ordinary differential equation is solved analytically with specified boundary conditions. A numerical scheme using the finite volume method on a uniform grid is developed. Numerical simulations are performed in accordance with various physical scenarios in the experiments. The comparison of analytical, numerical solutions, and the experimental data provides insights on the heat transfer process and show correlation between modeling and experiments.
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