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Lecture

Thermal Conduction: Stationary vs. Unsteady

In course

MSE-425: Soft matter

The first part of the course is devoted to the self-assembly of molecules. In the second part we discuss basic physical chemical principles of polymers in solutions, at interfaces, and in bulk. Finally, we look at colloids and emulsions. ...

Description

This lecture covers the concepts of conduction in thermal transfer, distinguishing between stationary and unsteady regimes. It explains the Fourier equation, simplifications for steady state, and the thermal conductivity of various materials. The lecture also delves into heat flux, heat density, and specific heat, providing insights into the evolution of temperature over time and space.

Instructors (2)

Harm-Anton Klok

Esther Amstad

Esther Amstad studied material science at ETH in Zurich. She also carried out her PhD thesis at the same University under the supervision of Prof. Marcus Textor; for her thesis, she worked on the surface modification and steric stabilization of oxide nanoparticles. As a postdoctoral fellow, she joined the experimental condensed soft matter group of David A. Weitz at Harvard University where she used droplet based microfluidics to assemble different types of functional micro- and nanomaterials. In addition, she developped new microfluidic devices that enable the production of very small, airborne drops as well as devices that produce highly monodisperse emulsion drops at a very high throughput. In June 2014, Esther joined the material science department (IMX) of EPFL where she is leading the Soft Materials Laboratory (SMAL).

Official source

Ontological neighbourhood

Physics

Physical quantities: Topics in physical quantities

Related concepts (30)

Thermal conduction

Conduction is the process by which heat is transferred from the hotter end to the colder end of an object. The ability of the object to conduct heat is known as its thermal conductivity, and is denoted k. Heat spontaneously flows along a temperature gradient (i.e. from a hotter body to a colder body). For example, heat is conducted from the hotplate of an electric stove to the bottom of a saucepan in contact with it.

Heat equation

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.

Fourier transform

In physics and mathematics, the Fourier transform (FT) is a transform that converts a function into a form that describes the frequencies present in the original function. The output of the transform is a complex-valued function of frequency. The term Fourier transform refers to both this complex-valued function and the mathematical operation. When a distinction needs to be made the Fourier transform is sometimes called the frequency domain representation of the original function.

Fourier series

A Fourier series (ˈfʊrieɪ,_-iər) is an expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series, but not all trigonometric series are Fourier series. By expressing a function as a sum of sines and cosines, many problems involving the function become easier to analyze because trigonometric functions are well understood. For example, Fourier series were first used by Joseph Fourier to find solutions to the heat equation.

Thermal conductivity

The thermal conductivity of a material is a measure of its ability to conduct heat. It is commonly denoted by , , or . Heat transfer occurs at a lower rate in materials of low thermal conductivity than in materials of high thermal conductivity. For instance, metals typically have high thermal conductivity and are very efficient at conducting heat, while the opposite is true for insulating materials like mineral wool or Styrofoam.

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