Poiseuille flow numerical solution

The data on pressure drop in irregular channels are presented by Shah and London (1978) and White (1994). Analytical solutions for the drag in micro-channels with a wide variety of shapes of the duct cross-section were obtained by Ma and Peterson (1997). Numerical values of the Poiseuille number for irregular microchannels are tabulated by Sharp et al. (2001). It is possible to formulate the general features of Poiseuille flow as follows ... 

Johansson (Jl) reported numerical calculations of the flow around a sphere fixed on the axis of a Poiseuille flow (Fig. 9.1 with b = 0,U = 0). Only solutions for 2 = 0.1 were considered, and wake formation was predicted for Re = 20.4 based on the centerline velocity Uq. ... 

Howard Brenner Let me give a simple example of this, that derives from the generalized Taylor dispersion theory references cited in my previous comments. Think of a tubular reactor in which one has a Poiseuille flow, together with a chemical reaction occurring on the walls. One can certainly write down all the relevant differential equations and boundary conditions and solve them numerically. However, the real essence of the macrophysics is that if one examines the average velocity with which the reactive species moves down the tube, this speed is greater than that of the carrier fluid because the solute is destroyed in the slower-moving fluid streamlines near the wall. Consequently, the only reactive solute molecules that make it... 

Capillary viscometers provide an accurate means of observing viscosity effects in polymer solutions. There are numerous designs but the Ubbelohde dilution viscometer shown in Figure 2.3 is one of the most commonly used. The principles of measurement are based on the Poiseuille equation which relates the time required for the volume K of a liquid to flow through a... 

---