Abstract

Citation

Researchers should cite this work as follows:

• Zhang, Y. (2022). 3-069-HeatInBar-ModelingScenario. SIMIODE, QUBES Educational Resources. doi:10.25334/WHY5-F106

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Article Context

Description

Conduction and convection are two important modes of heat transfer. To understand the mechanisms of these two types of heat transfer processes, we study the temperature distribution in uniform slender bars though experiments, modeling, and numerical simulations. Various boundary conditions are investigated to demonstrate the effects of conduction and convection on the temperature distribution. Some of the related engineering applications of this study include the design of a heat exchanger with fins or a thermal radiator.

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.

We investigate the steady-state temperature distribution within a uniform slender bar, such as a thin rod or a slender rectangular bar.