Establish the continuity equation (10.34) for the mass density by working out the change in mass inside an infinitesimal cubic box centred at a position written in Cartesian coordinates as (x, y, z). The box has square faces orthogonal to the Cartesian axes and the dimensions of the edges of the box are d_x, d_y and d_z. The velocity field is v (x, y, z).

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m+ (V.v) m = 0 (10.34)