The four basic transport mechanisms across porous membranes are known as
Poiseuille flow, Knudsen diffusion, surface diffusion and capillary condensation [7, 11].
Since the nose--nasopharynx region is not a tube and has a wider diameter than the trachea, it does not offer resistance as envisaged by the
Poiseuille's equation.
1, a RBC at a specific distance from the entrance of microchannel is in the
poiseuille flow, stenosis of microchannel in this problem has curved shape which help the problem to be real.
Stuart, "A non-linear instability theory for a wave system in plane
Poiseuille flow," Journal of Fluid Mechanics, vol.
Silberberg, "Radial particle displacements in
Poiseuille flow of suspensions," Nature, vol.
The elastic RBCs were placed asymmetrically in a
Poiseuille shear flow near the wall of the channel.
By applying Darcy's and
Poiseuille's Laws, a relationship between porosity and permeability can be derived as the following equation:
Poiseuille's law shows the enormous influence of the vessel diameter on the rate of blood flow rate (Q = ([DELTA][Pr.sup.4]/[eta]L8)) [31], where Q is the flow rate ([cm.sup.3]/sec), P is the pressure (mmHg), r is the radius of the vessel (m), [eta] is the viscosity of blood (Pa*s), and L is the length of the vessel (cm).
Pfitzner, "
Poiseuille and his law," Anaesthesia, vol.
Kleijn, "Magnetic particle motion in a
Poiseuille flow," Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, vol.
Chan, "Analytical modeling of rarefied
Poiseuille flow in microchannels," Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, vol.