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 dB_sys / 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 B_sys 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.