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Thus we have finally the following parabolic velocity profile:
In addition, the equation is based on the parabolic velocity gradient discussed in the last section.
In the usually used closed cells this creates Poiseuille type back flow, leading to parabolic velocity profile.
Linear stability theory applied to Poiseuille flow indicates that the parabolic velocity profile is stable at all values of the Reynolds number;.
For the sake of simplicity in solving, a linear temperature profile and a parabolic velocity profile are assumed within the vapor phase.
Measurement of parabolic velocity profiles in live embryo vessels indicate that vessel walls are exposed to levels of laminar and shear stress which can have a bioactive effect.
Particles that move further away from the wall reach higher positions in the parabolic velocity profile of the liquid flowing through the chamber and will be eluted from the chamber at a faster rate.
It may be noted that in the limiting case of stationary plates, the flow is referred to as plane Poiseuille flow with a symmetric (with reference to the horizontal mid-plane) parabolic velocity profile.
When is small (1 or less), it means the frequency of pulsations is sufficiently low that a parabolic velocity profile has time to develop during each cycle, and the flow will be very nearly in phase with the pressure gradient, and will be given to a good approximation by Poiseuille's law, using the instantaneous pressure gradient.