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This lecture covers the concepts of thermal transport and steady-state in fluids, focusing on the equilibrium and the distinction between thermal and mechanical transport. It discusses the heat flux into a continuum particle by conduction, emphasizing the accumulation of heat and the role of thermal conductivity. The lecture also explores the conditions for stable mechanical equilibrium and the importance of temperature gradients in fluid dynamics. Key elements such as thermal diffusivity, convective heat transfer, and the role of viscosity are highlighted.