The paper presents the results of a numerical study devoted to the hydraulic properties of a network of parallel triangular microchannels (hydraulic diameter Dh = 110 um). Previous experimental investigations had revealed that pressure drop through the microchannels system dramatically increases for the Reynolds number exceeding value of 10. The disagreement of the experimental findings with the estimations of flow resistance based on the assumption of fully developed flow were suspected to result from the so-called scale effect. Numerical simulations were performed by using the classical system of flow equations (continuity and Navier-Stokes equations) in order to explain the observed discrepancies. The calculations showed a very good agreement with the experimental results proving that there is no scale effect for the microchannels considered, i.e. the relevance of the constitutive flow model applied was confirmed. It was also clearly indicated that the excessive pressure losses in the high Reynolds number range are due to the secondary flows and separations appearing in several regions of the microchannel system.
The aim of this paper is to study the applicability of the theory of micropolar ﬂuids to modelling and calculating ﬂows in microchannels depending on the geometrical dimension of the ﬂow ﬁeld. First, it will be shown that if the characteristic linear dimension of the ﬂow becomes appropriately large, the equations describing the micropolar ﬂuid ﬂow can be transformed into Navier-Stokes equations. Next, Poiseuille ﬂows in a microchannel is studied in detail. In particular, the maximal cross-sectional size of the channel for which the micropolar eﬀects of the ﬂuid ﬂow become important will be established. The experimentally determined values of rheological constants of the ﬂuid have been used in calculations.
Dissipative Particle Dynamics (DPD) is a simulation method at mesoscopic scales that bridges the gap between molecular dynamics and continuum hydrodynamics. It can simulate efficiently complex liquids and dense suspensions using only a few thousands of virtual particles and at speed-up factors of more than one hundred thousands compared to Molecular Dynamics. Lowes approach provides a powerful alternative to the usual DPD integrating schemes. Here, we demonstrate the details and potential of Lowes scheme. We compute viscosity, diffusivity and Schmidt number values and we present comparison of wormlike chain models under shear with experimental and Brownian Dynamics results for ll-phage DNA.