Finite Control Volume -
Conservation of Mass
In a Nutshell: For conservation of
mass, the mass of a system must remain constant. DMsys/Dt = 0 Click
here for a review of the Eulerian method of
description. Use of Reynolds Transport Theorem
gives the integral form for mass transfer (conservation of mass). ∂/∂t ∫ ρ dV +
∫ ρ V . n dS =
0 cv
= control volume, cs = control surface cv cs where ρ
= the mass density of the fluid Note: ρ is the intensive property ∂/∂t = the time rate of change dV = the element of volume within the control
volume V = the fluid velocity crossing the control
surface n
= the unit outward normal to
the control surface V . n
= the normal component of velocity crossing
the control surface (dot product) dS = the element of area on the control surface Click
here for a discussion on strategy using control volumes. Click
here to continue this discussion |
Copyright © 2019 Richard C. Coddington
All rights reserved.