Heat Equation: Diffusion and Temperature Distribution

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Explores the Fourier equation in 2D for a stationary regime without heat production in a semi-infinite wall.

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

Covers boundary conditions for heat diffusion in 1D systems.

Explores the effects of temperature on materials, including thermal expansion and conductivity.

Explores diffusion from a macroscopic perspective, emphasizing the derivation of the diffusion equation through mass conservation and fixed flux law.

Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution methods.

Covers the heat equation for diffusion and conservation of thermal energy.

Explores applications of the Fourier equation in different heat transfer scenarios.

Covers thermal resistances, Bi number, and thermal circuits, including conductive heat transfer and heat diffusion equations.

Explores heat diffusion in 1D steady-state conduction with heat sources and discusses thermal resistance and Kirchhoff's laws.