Analytical asymptotic solutions of nA+mB→C reaction-diffusion equations in two-layer systems: A general study

Large time evolution of concentration profiles is studied analytically for reaction-diffusion systems where the reactants A and B are each initially separately contained in two immiscible solutions and react upon contact and transfer across the interface according to a general nA+mB-->C reaction scheme. This study generalizes to immiscible two-layer systems the large time analytical asymptotic limits of concentrations derived by Koza [J. Stat. Phys. 85, 179 (1996)] for miscible fluids and for reaction rates of the form A;{n}B;{m} with arbitrary diffusion coefficients and homogeneous initial concentrations. In addition to a dependence on the parameters already characterizing the miscible case, the asymptotic concentration profiles in immiscible systems depend now also on the partition coefficients of the chemical species between the two solution layers and on the ratio of diffusion coefficients of a given species in the two fluids. The miscible time scalings are found to remain valid for the immiscible fluids case. However, for immiscible systems, the reaction front speed is enhanced by increasing the stoichiometry of the invading species over that of the species being invaded. The direction of the front propagation is found to depend on the diffusion coefficient of the invading species in its initial fluid but not on its value in the invading fluid. Hence, a reaction front in immiscible fluids can travel in the opposite direction to the reaction front formed in miscible fluids for a range of parameter values. The value of the invading species partition coefficient affects the magnitude of the front speed but it cannot alter the direction of the front. For sufficiently large times, the total amount of product produced in time is independent of the rate of the reaction. The centre of mass of the product can move in the opposite direction to the center of mass of the reaction rate.Journal Articleinfo:eu-repo/semantics/publishe

Business in Engineering Education: Issues, Identities, Hybrids, and Limits

This chapter explores how engineering students are broadened in their education through the teaching of non-engineering subjects, such as business subjects, in order to develop critical thinking skills and self-knowledge of what it means to be an engineer. The goal of the chapter is to provide a commentary on the level of interaction, from design of courses to design of curricula, between business faculty and engineering faculty, and the results of that interaction. This chapter sets out to (i) explore whether there appears to be a place in engineering education curricula for reflective critique of assumptions related to business thinking, and why; (ii) discover what kinds of business issues are reflected in engineering education curricula, and for what purpose; (iii) explore the degree of business hybridization in engineering degree programs; (iv) ask who teaches business issues within engineering education? To this end a taxonomy of engineering enlightenment is proposed, and this is used to discuss evidence of broadening with engineering curricula. The approach adopted is to describe all relevant engineering degree programs in Ireland, based on their publicly available program information; examine the accreditation reports for these same programs; and then survey deans from colleges or schools of business to examine whether the business college/school is involved in the education of engineering students in the institution or university. If yes, how the business college or relevant business faculty are engaged in the design of engineering curricula. In order to enable a comparative discussion, the chapter will focus on Irish engineering programs that seek accreditation from Engineers Ireland for professional engineering. A number of hybrid engineering programs of study are also explored, and their apparent strengths discussed, including hybridity limits

Density profiles around A+B -> C reaction-diffusion fronts in partially miscible systems: A general classification

Various spatial density profiles can develop in partially miscible stratifications when a phase A dissolves with a finite solubility into a host phase containing a dissolved reactant B. We investigate theoretically the impact of an A+B -> C reaction on such density profiles in the host phase and classify them in a parameter space spanned by the ratios of relative contributions to density and diffusion coefficients of the chemical species. While the density profile is either monotonically increasing or decreasing in the non reactive case, reactions combined with differential diffusivity can create eight different types of density profiles featuring up to two extrema in density, at the reaction front or below it.We use this framework to predict various possible hydrodynamic instability scenarios inducing buoyancy-driven convection around such reaction fronts when they propagate parallel to the gravity field.info:eu-repo/semantics/publishe

Chemically Driven Hydrodynamic Instabilities

info:eu-repo/semantics/publishe

Quadrature methods for highly oscillatory singular integrals

We address the evaluation of highly oscillatory integrals, with power-law and logarithmic singularities. Such problems arise in numerical methods in engineering. Notably, the evaluation of oscillatory integrals dominates the run-time for wave-enriched boundary integral formulations for wave scattering, and many of these exhibit singularities. We show that the asymptotic behaviour of the integral depends on the integrand and its derivatives at the singular point of the integrand, the stationary points and the endpoints of the integral. A truncated asymptotic expansion achieves an error that decays faster for increasing frequency. Based on the asymptotic analysis, a Filon-type method is constructed to approximate the integral. Unlike an asymptotic expansion, the Filon method achieves high accuracy for both small and large frequency. Complex-valued quadrature involves interpolation at the zeros of polynomials orthogonal to a complex weight function. Numerical results indicate that the complex-valued Gaussian quadrature achieves the highest accuracy when the three methods are compared. However, while it achieves higher accuracy for the same number of function evaluations, it requires significant additional cost of computation of orthogonal polynomials and their zeros

Recent developments on on-line rheometry to monitor the extrusion process

On-line rheometers are generally inserted between extruder and die and generate data that is typically utilized for quality control purposes. However, on-line rheometers have also the potential to detect changes in structure, morphology, or composition of a given material system, thus assisting materials research and processing optimization, if they can be used along the axis of the extruder or compounder. The authors have previously developed on-line capillary and rotational/oscillatory rheometers that can be inserted and used at specific locations along the extruder. Since these devices are operated manually, their manipulation may be cumbersome and data may lack reliability. This work presents new versions of these rheometers, with improved functionalities and motorized operation. Details on the validation of one of them is also given.This study was carried out within the frame of the MULTIHYBRIDS IP 026685-2IP project, 6th Framework EC Program. The authors also gratefully acknowledge funding by FEDER via FCT, Fundação para a Ciência e Tecnologia, under the POCI 2010 and Plurianual programs