We present the model of a cylindrical pore with chains tethered by one end
to its inner surface. The conformational and "quasistatic" (under low and m
edium shear rates) hydrodynamic properties of the system are studied. Since
it was shown by other researchers that the density profile of the polymer
layer is only slightly affected by flow in the region of low and medium she
ar rates, we do not take flow into account when calculating chain conformat
ions. The conformational properties of the concave layer are very similar t
o those of the flat one. They are characterized by the layer thickness h. T
he hydrodynamic properties are characterized by the hydrodynamic thickness
L-h. We show that L-h depends strongly on the chain surface density sigma u
nder conditions of the "mushroom" regime in contrast to h. Finally, we pred
ict that the net permeability of the cylinder could decrease with the incre
asing temperature. It enables us, principally, to control the pore permeabi
lity with temperature. (C) 2001 American Institute of Physics.