Thermal FEM: Steady State and Transient Analysis

In course

Description

This lecture covers the steady-state thermal analysis of a silicon beam with uniform heat generation, including the effects of convection. It also delves into transient thermal simulations, discussing the heat equation, thermal diffusivity, and lumped element modeling. Practical exercises involve calculating temperature distributions and performing transient thermal analysis. The instructor emphasizes the importance of considering losses due to convection in real systems and provides insights into using COMSOL for thermal analysis.

Instructors (2)

Official source

https://mediaspace.epfl.ch/media/0_usn3cgi1

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Related concepts (46)

In mathematics and physics, the heat equation is a certain partial differential equation. Solutions of the heat equation are sometimes known as caloric functions. The theory of the heat equation was first developed by Joseph Fourier in 1822 for the purpose of modeling how a quantity such as heat diffuses through a given region. As the prototypical parabolic partial differential equation, the heat equation is among the most widely studied topics in pure mathematics, and its analysis is regarded as fundamental to the broader field of partial differential equations.

In electrical engineering, the distributed-element model or transmission-line model of electrical circuits assumes that the attributes of the circuit (resistance, capacitance, and inductance) are distributed continuously throughout the material of the circuit. This is in contrast to the more common lumped-element model, which assumes that these values are lumped into electrical components that are joined by perfectly conducting wires.

Thermal analysis is a branch of materials science where the properties of materials are studied as they change with temperature.

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

In electrical engineering, electrical elements are conceptual abstractions representing idealized electrical components, such as resistors, capacitors, and inductors, used in the analysis of electrical networks. All electrical networks can be analyzed as multiple electrical elements interconnected by wires. Where the elements roughly correspond to real components, the representation can be in the form of a schematic diagram or circuit diagram. This is called a lumped-element circuit model.