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Deriving the Heat Equation - A Parabolic Partial Differential Equation for Heat Energy Conservation

Steve Brunton via YouTube

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This course derives the one-dimensional heat equation for temperature in an insulated metal rod. It uses conservation of thermal energy, heat flux, Fourier’s law of heat conduction, and source terms.

Syllabus

Overview
Statement in Words
Statement in Math
Heat Flux
Fourier's Law of Heat Conduction
The Heat Equation

Taught by

Steve Brunton

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