Use the Reynolds transport theorem (Eq. 4.19) with (B=) volume and, therefore, (b=) volume/mass (=1 /) density
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Use the Reynolds transport theorem (Eq. 4.19) with \(B=\) volume and, therefore, \(b=\) volume/mass \(=1 /\) density to obtain the continuity equation for steady or unsteady incompressible flow through a fixed control volume: \(\int_{\mathrm{cv}} \mathbf{V} \cdot \hat{\mathbf{n}} d A=0\).
Eq. 4.19
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Related Book For 
Munson Young And Okiishi's Fundamentals Of Fluid Mechanics
ISBN: 9781119080701
8th Edition
Authors: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein
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