Finite Control Volume –
Conservation of Mass and Linear Momentum
(Deformable CV)
In a Nut Shell: The strategy for both conservation of mass
and for conservation of linear momentum is
to apply the complete equations For
conservation of mass: ∂/∂t ∫ ρ dV +
∫ ρ V . n dS =
0
cv cs For
conservation of linear momentum: ∂/∂t ∫ ρ V dV
+ ∫ V ρ V . n dS =
Σ F acting on contents of the control
volume cv cs where
the terms involving the control volume are no longer zero. The
term ∂/∂t ∫ ρ dV represents the change of mass within the control
volume. cv Note,
the mass within the control volume could be increasing or decreasing with
time. The
term ∂/∂t ∫ ρ V dV
represents the change of linear momentum within the control volume. cv Again,
it could be increasing or decreasing with time. |
Copyright © 2019 Richard C. Coddington
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