TL;DR: In this paper, an analytical model of steady gaseous flows through rectangular microducts with second-order boundary conditions is proposed, which completes previous studies on flows in circular microtubes or between parallel plates found in the literature.
Abstract: An analytical model of steady gaseous flows through rectangular microducts with second-order boundary conditions is proposed. It completes previous studies on flows in circular microtubes or between parallel plates found in the literature. The influence of the second-order terms and of the geometric parameters is analyzed. It is shown that the mass flow rate is underestimated when second-order terms are not taken into account and that these terms become more significant when the cross section of the microduct tends to a square cross section. Difficulties in obtaining exploitable experimental comparisons, due to problems in the determination of the Maxwell reflection coefficient σ v , are also discussed
TL;DR: In this article, closed form solutions for fully developed temperature distribution and entropy generation due to forced convection in microelectromechanical systems (MEMS) in the slip-flow regime, for which the Knudsen number lies within the range 0.001
TL;DR: In this article, a microcable consisting of two layers of different synthetic materials, in which the inner layer of said protective sheath consists of a material having an elasticity modulus in a range of 1500-3000 MPa at room temperature, and the outer layer of the cable consists of an optical fiber material with elasticity in the range of 600-1200 MPa.
Abstract: The invention relates to the field of optical fiber cables and more specifically to an optical fiber cable especially suited for blown installation or pushing installation in microducts of small diameter. The microcable comprises a protective sheath holding a plurality of optical fibers, wherein said protective sheath is composed of two layers of different synthetic materials, in which the inner layer of said protective sheath consists of a material having an elasticity modulus in a range of 1500-3000 MPa at room temperature, and that the outer layer of said protective sheath consists of a material having an elasticity modulus in the range of 600-1200 MPa at room temperature.
TL;DR: In this article, the authors show that the flow in microducts can be reliably described by a consistently non-empirical model without considering the tangential momentum accommodation coefficient (TMAC).
Abstract: In microducts deviation from continuum flow behaviour of a gas increases with rarefaction. When using Navier–Stokes equations to calculate a flow under slightly and moderately rarefied conditions, slip boundary conditions are used which in turn refer to the tangential momentum accommodation coefficient (TMAC). Here we demonstrate that, in the so-called slip and transition regime, the flow in microducts can be reliably described by a consistently non-empirical model without considering the TMAC. We obtain this equation by superposition of convective transport and Fickian diffusion using two-dimensional solutions of Navier–Stokes equations and a description for the Knudsen diffusion coefficient as derived from kinetic theory respectively. For a wide variety of measurement series found in the literature the calculation predicts the data accurately. Surprisingly only size of the duct, temperature, gas properties and inlet and outlet pressure are necessary to calculate the resulting mass flow by means of a single algebraic equation. From this, and taking the discrepancies of the TMAC concerning surface roughness and nature of the gases into account, we could conclude that neither the diffusive proportions nor the total mass flow rates are influenced by surface topology and chemistry at Knudsen numbers below unity. Compared to the tube geometry, the model slightly underestimates the flow rate in rectangular channels when rarefaction increases. Likewise, the dimensionless mass flow rate and the diffusive proportion of the total flow are distinctly higher in a tube. Thus the cross-sectional geometry has a significant influence on the transport mechanisms under rarefied conditions.
TL;DR: In this paper, a superposition approach is presented to investigate forced convection in microducts of arbitrary cross-section, subject to H1 and H2 boundary condition, in the slip-flow regime with further complication of a temperature jump condition assumption.