S

Fig. 3.7 Sketch of the time evolution of the control volume V(t) and the surface S: at time to the control volume is Vo, and its outer surface expands with a velocity of Us, so that at time to + St, the new volume is V1.

In the three-dimensional case, the corresponding generalized Leibnitz theorem (Kundu, 1990, p. 75) is

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