
374 Appendix
© 2010 Taylor & Francis Group, LLC
a.2.1 mass transfer equatIon
Here, instantaneous velocity vector projections as well as signposts to the existence
of components are not necessarily continuous functions of spatial coordinates and
time:
t
dV dS
ii ii if
ϑ
∫∫
′
γ
′
ρ=−
′
γ
′
ρ
′
(A.63)
A differential mass transfer equation may be obtained from integral Equation
A.63. For this purpose, in order to ensure the continuity of scalar and vector
values included in the equation and derivatives of the same with spatial coordi-
nates and time, we need to apply the operation of averaging and transition to an
innitesimal volume.
All scalar and vector v ...