Page 413 - Introduction to Continuum Mechanics
P. 413
Newtonian Viscous Fluid 397
dv m
We now show that the third term on the left-hand side is equal to --—£„.
OX n
From Eq. (6.19.9), we have
Thus,
tnus
But it can be easily verified that for any A^ e mniAj^4ji ~ 0»
and since e mn / e pji = (d mpd nj-(5 m/5 n/,)[see Prob. 2A7]
dv n
where we have used the equation of continuity -— = 0. Therefore, we have
QJC»t
or,
which can be written in the following invariant form:
where
