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Learn advanced heat transfer concepts through a comprehensive course covering fundamental principles and complex applications. Starting with Fourier's law and basic conservation equations, progress through steady-state and transient heat conduction, including multi-dimensional analysis and approximate solution methods. Master convective heat transfer with detailed explorations of laminar flow over external surfaces, internal flow conditions, and turbulent flow dynamics. Examine natural convection phenomena through boundary layer equations, similarity solutions, and integral methods. Apply theoretical knowledge to solve practical heat transfer problems using various analytical approaches, from shape factors to two-equation turbulence models. Develop expertise in analyzing heat transfer scenarios across different geometries and boundary conditions, preparing for advanced thermal engineering applications.