Page 258 - Gas Adsorption Equilibria

244 Chapter 5

with as defined by (5.2) and

The additional moment of inertia is made up of three parts:

the moment of inertia of the mass adsorbed
the moment of inertia of the mass of gas in the free space
between the sorbent pellets in the ring slit,
and the moment of inertia of the mass of a boundary layer
of the fluid’s flow above and below the oscillating disk, cp. Fig. 5.4.

We now assume the masses and moving with the disk to be
homogenously distributed within the ring slit. Then we have for and
correspondingly to Eq. (5.3) the expressions

Also let us introduce the “effective” or “equivalent” mass for the moment
of inertia by

Then according to (5.20) can be written as

Combining Eqs. (5.2, 5.3, 5.19, 5.24) we get for the sum of masses
accelerated with the disk, and plus the equivalent mass
corresponding to the fluid’s flow boundary layer moment of inertia, in
addition to the empty disk and sorbent sample divided by the sample
mass the expression