In deriving the continuity equation, we assumed, for simplicity, that the mass fl ow per
Chapter 4, Problem p4.6(choose chapter or problem)
In deriving the continuity equation, we assumed, for simplicity, that the mass fl ow per unit area on the left face was just u . In fact, u varies also with y and z , and thus it must be different on the four corners of the left face. Account for these variations, average the four corners, and determine how this might change the inlet mass fl ow from u dy dz .
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