Page 29 - Packed bed columns for absorption, desorption, rectification and direct heat transfer

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;
G z+dz =G Z+ dG z = w 2C.dx.dy.dT + ' r W dz.dx.dy,dr (71)
dz

Hereupon, the quantify of the component transferred with the flow from the
parallelepiped is:

, d(wC)
dG = ——^-^-dx.dy.dz.dr, (72)
8x

(73)
dy

(74)
dz

For the whole parallelepiped:

d(w xC) | d(w yC) | 8(w zC)
dG x+dG y+dG z = .dx.dy.dz.dt ;(75)
dx dy dz

or

dG = c c .dx.dy.dz.dr +
+ +
dx dy dz (76)
I dC dC dC
dx.dy.dz.dt
I x dx y dy z dz

According to the equation of continuity of the flow

dw. dw z
+ + (77)
dx dy dz

therefore