Page 260 - Gas Adsorption Equilibria

246 Chapter 5

and “thick” disks for which the inequalities hold

with the characteristic length of the system

and the kinematic viscosity of the fluid

the Navier-Stokes-equations for the velocity field v reduce to

They are complemented by the continuity equation (summation
convention)

the boundary conditions

a) on fixed surfaces:

b) on the surface of the pendulum

and the initial condition

Now in view of (5.26), (5.27) and (5.35) one can expect a linear nonlocal or
integral relation between M(t) and to exist. This indeed is the case [5.1].
Taking Laplace transforms of this relation and also of the EOM (5.18), we get