Consider the general form of the Reynolds transport theorem (RTT) given by dBsys / dt = d/dt ∫CV ρb dV +∫CS ρbV-›r·n-› dAwhere V-›r is the velocity of the fluid relative to the control surface. . Let Bsys be the angular momentum H-› = r→ × mV-› of a system of fluid particles, where r → is the moment arm. We know that for a system, conservation of angular momentum is ∑M-›= d / dt H-›sys where Σ M-› is the net moment applied to the system. Use the RTT and the above equation to derive the equation of conservation of angular momentum for a control volume.
Consider the general form of the Reynolds transport theorem (RTT) given by dBsys / dt = d/dt ∫CV ρb dV +∫CS ρbV-›r·n-› dA
where V-›r is the velocity of the fluid relative to the control surface. . Let Bsys be the angular momentum H-› = r→ × mV-› of a system of fluid particles, where r → is the moment arm. We know that for a system, conservation of angular momentum is ∑M-›= d / dt H-›sys where Σ M-› is the net moment applied to the system. Use the RTT and the above equation to derive the equation of conservation of angular momentum for a control volume.
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