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Lecture
Fourier Analysis and PDEs
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Related lectures (31)
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Transient Heat Transfer: Analytical Solutions
Explores transient heat transfer, analytical solutions, boundary conditions, and heat flux density in various geometries and materials.
Heat Exchangers: Fundamentals and Applications
Explores the fundamentals of heat exchangers, including conduction, convection, and temperature profiles, with practical examples.
Complex Analysis: Laplace and Fourier Transforms
Discusses complex analysis, focusing on Laplace transforms, Fourier series, and the heat equation's solutions and uniqueness.
Diffusion: Macroscopic View
Explores diffusion from a macroscopic perspective, emphasizing the derivation of the diffusion equation through mass conservation and fixed flux law.
Fourier Transform and Partial Differential Equations
Explores the application of Fourier transform to PDEs and boundary conditions.
Unbounded and Bounded Systems: Fourier Methods
Explores the spectral properties of unbounded and bounded systems using Fourier methods and emphasizes the importance of choosing the correct representation for different boundary conditions.
Heat Recovery in Process Units
Explores heat recovery, heat exchanger calculation, and pinch analysis for energy optimization.
Numerical Methods: Boundary Value Problems
Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.
Boundary Conditions - 1D Systems
Covers boundary conditions for heat diffusion in 1D systems.
Thermal Circuits: Overall Heat Transfer Coefficient
Explores thermal circuits and the overall heat transfer coefficient in the context of heat conduction.