Slow invariant manifolds (SIM) are calculated for spatially inhomogeneous closed reactive systems to obtain a model reduction. A robust method of constructing a onedimensional SIM by calculating equilibria and then integrating along heteroclinic orbits is extended to two new cases: i) adiabatic systems, and ii) spatially inhomogeneous systems with simple diffusion. The adiabatic condition can b...

Small and medium sized enterprises (SMEs) make a substantial contribution to the economic and social wellbeing of many national economies. Consequently, the European Union (EU) is funding several initiatives aimed at stimulating growth within SMEs. In particular, there is concern that despite the potential benefits of information and communication technology (ICT), adoption rates in UK-based SM...

Gossypiboma is a mass formed by a retained surgical sponge and reactive tissue. The cases with gossypiboma are usually asymptomatic or with nonspecific symptoms, which delay diagnosis for months or years after surgery. We describe imaging findings in a 43-year-old woman with a symptomatic retained surgical sponge in a lumbar laminectomy site. Ultrasonography, computed tomography, magnetic reson...

Abstract The flow of reactive fluids into porous media, a phenomenon known as infiltration, is important in natural and engineered systems. While most the studies this area cover theoretical experimental analyses linear acid flow, present work concentrates on radial conditions from wellbore field finding exact analytical solutions to moving boundary problems uniform dissolution front. Closed-fo...

2014 The general results recently obtained for the Boltzmann collision term in a gas of atomic hydrogen are applied to the study of longitudinal spin diffusion in high magnetic fields. This phenomenon can be described as a diffusion of concentration in a four component reactive mixture (the reaction being here the electronic transfer between nuclei). A numerical discussion of all the coefficien...

We present an approach to reduce the convective flow in an electrostatically levitated liquid droplet to such an extent that diffusion is the dominant mechanism for mass transport, thus enabling direct measurements of atomic diffusion in reactive liquids at elevated temperatures. Convection is minimized by containerless processing, and reducing temperature variations in the sample. The diffusio...

Numerical convergence of a Telegraph Predator-Prey system is studied. This partial differential equation (PDE) can describe various biological systems with reactive, diffusive, and delay effects. Initially, the PDE was discretized by Finite Differences method. Then, equations in time-explicit form space-implicit obtained. The consistency discretization verified. Von Neumann stability conditions...