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Angular_momentum_CV_analysis

# Angular_momentum_CV_analysis - Angular Momentum Control...

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Angular Momentum Control Volume Analysis (Section 6-6, Ç engel and Cimbala) 1. Equations and definitions See the derivation in the book, using the Reynolds transport theorem. The result is: (Relative velocity) We simplify the control surface integral for cases in which there are well-defined inlets and outlets, just as we did previously for mass, energy, and momentum. The result is: Note that we cannot define an “angular momentum flux correction factor” like we did previously for the kinetic energy and momentum flux terms. Furthermore, many problems we consider in this course are steady . For steady flow, Eq. 6-50 reduces to: = Rate of flow of angular momentum out of the control volume by mass flow Rate of flow of angular momentum into the control volume by mass flow Net moment or torque acting on the control volume by external means Finally, in many cases, we are concerned about only one axis of rotation, and we simplify Eq. 6-51 to a scalar equation,

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