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jatin1990
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Good Day, I am looking for mathematical modelling of Joule heating of a simple cantilever beam . Can anybody provide me good source of relevant material.
Thanks in advance.
Thanks in advance.
Chestermiller said:What is the relevance of the beam being cantilevered? Is it that the beam is extended out into the air? What is the thermal boundary condition at the cantilever end of the beam. Do you need to include the heat transfer from the beam to the air, or is it just that the cantilever end is a heat sink at fixed temperature?
Chet
The differential equation that describes this system is given by:jatin1990 said:Thanks Chestermiller for reply, "What is the relevance of the beam being cantilevered?" good point there no practical relevance the only thing is V is connected to the fixed end and V0 is connected to the free end. "What is the thermal boundary condition at the cantilever end of the beam." Actually there is another cantilever on the other end , both are connected at the center so we can assume free end surface is loosing heat (equivalent to the actual conduction into the other cantilever) "Do you need to include the heat transfer from the beam to the air" No we can neglect the convection lose.
Thanks.
Joule heating is the process in which electrical energy is converted into heat energy when current flows through a conductor. It is important in modeling techniques because it helps to accurately predict the temperature distribution in a material, which is crucial in various industrial applications such as electronics, welding, and power generation.
The main factors that affect Joule heating in a material are its electrical resistivity, current density, and thermal conductivity. Materials with higher resistivity and lower thermal conductivity tend to experience more heating when an electric current is passed through them.
Joule heating can be modeled using various techniques such as finite element analysis, finite difference method, and analytical solutions. These methods use mathematical equations to represent the material's electrical and thermal properties and simulate the Joule heating process.
One of the main limitations of modeling Joule heating is the assumption of uniform current distribution in the material. In reality, current flow may vary in different parts of the material, leading to inaccuracies in the predicted temperature distribution. Additionally, the accuracy of the model depends on the accuracy of the input parameters and the simplicity of the model used.
The accuracy of Joule heating models can be improved by using more advanced techniques such as computational fluid dynamics, which take into account the effects of fluid flow on heat transfer. Additionally, using experimental data to validate the model can also help improve its accuracy. It is also important to use accurate and relevant input parameters to obtain more realistic results.