FLUID FLOW IN NANOTUBES - Foundations of Nanotechnology: Pore Size in Carbon-Based Nano-Adsorbents - page 212

FIGURE 4.11 The results of calculations of fluid flow in the nanotube.

The typical size of crystallite is 1-2 nm, that is,compared, for example, with a
diameter of silica nanotubes of different composition and structure.
The flow model proposed in the present work is based on the presence of
“quasi-solid” phase in the central part of the nanotube and liquid layer, non-au-
tonomous phases [23].
Consideration of such a structure that is formed when fluid flows through the
nanotube, is also justified by the aforementioned results of the experimental stud-
ies and molecular modeling.
When considering the fluid flow with such structure through the nanotube, we
will take into account the aspect ratio of “quasi-solid” phase and the diameter of
the nanotube. Then the character of the flow is stable and the liquid phase can be
regarded as a continuous medium with viscosity h .
Let's establish relationship between the volumetric flow rate of liquidflowing
from a liquid layer of the nanotube lengthl, l , the radius R and the pressure drop

, , where, p 0 is the initial pressure in the tube (Fig. 4.12).

D p = p − p D p / l

0

FIGURE 4.12 Flow through liquid layer of the nanotube.

Let R 0 be a radius of the tube from the “quasi-solid” phase and v - velocity of
fluid flow through the nanotube.