Metal fuels have promising characteristics to store and trade renewable electricity. Indeed, their combustion releases the energy when it is needed while renewable electricity can be stored by reducing the combustion products (see figure attached). Particularly, iron powder features a high energy content, no carbon emissions, and is safe and abundant. Moreover, it burns in a particular combustion regime allowing easy capture of the solid iron oxides after combustion. My research aims to numerically understand the effects of introducing other elements than iron inside the powder during combustion.
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)