The purpose of the present work is to numerically study the conjugate heat transfer coupled with the mass transfer of a Newtonian fluid around a vertical hollow cylinder. This configuration is of major interest in the field of industrial applications or systems producing nuclear or chemical energy. In this regard, the credibility of this work requires to take into account: - The parietal conduction of the cylinder which gives rise to a conjugated heat transfer convection - conduction- The different parameters such as the magnetic field, the chemical reaction and the heat generation.
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