Transient Heat Transfer: Analytical Solutions

This lecture covers the transient heat transfer regime, including examples such as infinite plate, infinite cylinder, and sphere. It discusses the heating rate, graphical and analytical solutions, and heat flux density. The lecture progresses to explain the Fourier equation, boundary conditions, and the Biot number. It delves into the Newtonian heating or cooling, emphasizing the importance of conduction over convection. The analytical solutions for the infinite plate are explored, along with applications and graphical representations. The lecture further extends to solutions for semi-infinite plates, with detailed boundary conditions and analytical expressions. The density of heat flux is analyzed, along with its implications for different geometries and materials.