Using the theory of exponential Riordan arrays and orthogonal polynomials, we demonstrate that the Eulerian polynomials and the shifted Eulerian polynomials are moment sequences for a simple family of orthogonal polynomials. The coefficient arrays of these families of orthogonal polynomials are shown to be exponential Riordan arrays. Using the theory of orthogonal polynomials we are then able t...

Gas-lift pumps are devices for lifting liquid phase incorporating the gas phase to be injected in the bottom of liquid column. They are widely used in various industrial applications such as oil extracting in petroleum industries. Gas-liquid flow being the main part of the flow through these systems, flowing in vertical pipes of gas-lift pumps has different regimes namely bubbly, slug, chur...

In the computational fluid dynamics (CFD) modeling of gas-solids two phase flow, the effect of boundary conditions play an important role in predicting the hydrodynamic characteristics of fluidized beds. In this work, the hydrodynamics of conical fluidized bed containing dried TiO2 nano-agglomerates were studied both experimentally and computationally. The pressure drop ...

In this work, the finite element simulation of dissimilar friction stir welding process is investigated. The welded materials are AA 6061-T6 and AA 7075-T6 aluminum alloys. For this purpose, a 3D coupled thermo-mechanical finite element model is developed according to the Coupled Eulerian-Lagrangian (CEL) method. The CEL method has the advantages of both Lagrangian and Eulerian approaches, whic...

Classical air quality models at regional scale, based on Eulerian gridded approaches, suffer from several limitations when applied to the dispersion of elevated point emissions (e.g. from power plant stacks). In particular, emissions from point sources are assumed to mix immediately within a grid cell, whereas a typical point-source plume does not expand to the size of the grid cell for a subst...

In this paper, we develop a new multicasting model for wormhole-routed networks based on the concept of Euler path in graph theory. The model can support multiple multicasts freely from deadlock and can be applied to any network which is Eulerian or is Eulerian after some links being removed. In particular, we demonstrate the power of this model by showing its fault-tolerant capability in suppo...

A two-phase Eulerian model, based on porous media concept, describing the flow domain as porous region is presented to estimate the hydrodynamics of two-phase flow in trickle-bed reactors (TBRs) operating at high pressures. The drag forces between phases have been accounted by employing the relative permeability concept (Sàez and Carbonell, 1985). The model has been validated with the different...

This study aims to incorporate most recent multiphase models in order to investigate the hydrodynamic behaviour of a TBR in terms of pressure drop, liquid holdup and catalyst wetting efficiency. Taking into account transport phenomena such as mass and heat transfer, an Eulerian k-fluid model was developed resulting from the volume averaging of the continuity and momentum equations and solved fo...