Steady Flow

For a steady flow the time derivative in the equation vanishes. As a result,

$$\int_{CS}~ \rho \overrightarrow{V}.d\overrightarrow{A}~=~0$$ (3.31)

In addition if the flow is incompressible, =constant and we have

$$\int_{CS}~ \overrightarrow{V}.d\overrightarrow{A}~=~0$$ (3.32)

(c) Aerospace, Mechanical & Mechatronic Engg. 2005
University of Sydney