Analytical expressions correlating the volumetric flow rate to the inlet and outlet pressures are derived for the time-independent flow of Newtonian fluids in cylindrically-shaped elastic tubes using a one-dimensional Navier-Stokes flow model with two pressure-area constitutive relations. These expressions for elastic tubes are the equivalent of Poiseuille and Poiseuille-type expressions for ri...

Incompressible two dimensional lattice Boltzmann method (LBM) is adopted to simulate flow inside a pipe commonly called Poiseuille flow. Instead of D2Q9 lattice Boltzmann model, we used an incompressible two-dimensional model, D2Q9i to simulate the flow conditions. At the inlet, velocity boundary condition, while at outlet, pressure boundary condition and at the surfaces, no slip boundary condi...

In the present investigation, slip-continuum and molecular (DSMC) flow models have been used to compare the drag coefficient on a confined microsphere over a range of Knudsen numbers between 0.01 and 0.4. The simulations consider a fixed Reynolds number (Re=0.125) and a range of blockage ratios from 2.0 up to 13.0. Two separate problem formulations have been studied; the first considers flow pa...

We investigate the statistical properties of an overdamped brownian particle that is trapped by a harmonic potential and simultaneously exposed to a linear shear flow or to a plane Poiseuille flow. Its probability distribution is determined via the corresponding Smoluchowski equation, which is solved analytically for a linear shear flow. In the case of a plane Poiseuille flow, analytical approx...

We examine a generalised Navier-Stokes theory applicable to fluids composed of non-spherical molecules. We compare the theoretical predictions for flow velocity and viscosity with results obtained from nonequilibrium molecular dynamics (NEMD) simulations of a fluid undergoing gravity fed flow down a rectangular channel. We study two different fluids: one composed of spherical particles and the ...

The results of an experimental study on intermittent spiral vortices observed in a counter-rotating Taylor-Couette system with an additional axial through flow, i.e. SpiralPoiseuille flow, are presented. Convectively unstable upstream propagating spiral vortices appear in the laminar basic flow from an oscillatory instability and in general become absolutely unstable at higher inner cylinder Re...

For Newtonian fluid flow in a right circular tube, with a linear Navier slip boundary, we show that a second flow field arises which is different to conventional Poiseuille flow in the sense that the corresponding pressure is quadratic in its dependence on the length along the tube, rather than a linear dependence which applies for conventional Poiseuille flow. However, assuming that the quadra...

The fluid dynamics of a particle with vapor transport in the presence of gaseous Poiseuille flow is examined in detail for low translational Reynolds number. Poiseuille flow is used to represent an undisturbed steady flow in a cylindrical tube. The particle has a dominant radial field of condensation, evaporation, sublimation, or other form of gasification, with a corresponding radial Reynolds ...