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Angular Momentum Control Volume Analysis
(Section 66,
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 welldefined 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. 650 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. 651 to a scalar equation,
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 Fall '05
 CIMBALA

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