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Heterogeneous and reactive flows are important in many areas, including aeronautics and space, the chemical industry, nuclear engineering, gas and electricity production, and the automotive industry. Reactive flows present heterogeneities or variations of concentration, temperature, speed, and sources of transfer phenomena such as thermal conduction, diffusion, or viscosity. The existence of these multiple phenomena coupled with convection makes the study of these flows difficult.§§The modeling of heterogeneous and reactive flows progressed mainly with advances in aerospace, which gave birth to a new science called aero-thermo-chemistry, as well as through progress made in chemical and process engineering. The methods implemented, the phenomena studied, and the aims for each field differed, but the obtained results have considerably enriched knowledge of reactive flows. This work presents basic concepts and methods necessary to study heterogeneous and reactive flows in areas such as fluid mechanics, thermodynamics, and chemistry. §The book examines tools of interest to graduate students, researchers in mathematical physics, and engineers who wish to investigate problems of reactive flows. Portions of the text may be used in courses on the physics of liquids or in seminars on mechanics.