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Mechanical EngineeringQ&A LibraryIn deriving the continuity equation, we assumed, for simplicity,that the mass fl ow per unit area on the left face wasjust ρ u . In fact, ρ u varies also with y and z , and thus it mustbe different on the four corners of the left face. Account forthese variations, average the four corners, and determinehow this might change the inlet mass fl ow from ρ u dy dz .Start your trial now! First week only $4.99!*arrow_forward*

Question

In deriving the continuity equation, we assumed, for simplicity,

that the mass fl ow per unit area on the left face was

just ρ u . In fact, ρ 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 ρ u dy dz .

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Mechanical Engineering

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