A Non-Newtonian Fluid with Navier Boundary Conditions

We consider in this paper the equations of motion of third grade fluids on a bounded domain of or with Navier boundary conditions. Under the assumption that the initial data belong to the Sobolev space H ², we prove the existence of a global weak solution. In dimension two, the uniqueness of such solutions is proven. Additional regularity of bidimensional initial data is shown to imply the same additional regularity for the solution. No smallness condition on the data is assumed.     

Application of screen-printed microband biosensors incorporated with cells to monitor metabolic effects of potential environmental toxins

Microband biosensors were fabricated from a screen-printed water-based carbon ink containing cobalt phthalocyanine redox mediator and glucose oxidase or lactate oxidase enzyme. The microbiosensors were characterised for their ability to monitor ferrocyanide and H₂O₂ in phosphate buffer solution: sigmoidal cyclic voltammograms, high current density values and steady-state amperometric responses confirmed the existence of radial-diffusion-limiting microelectrode behaviour. The lactate microband biosensors were then used, in conjunction with a screen-printed Ag/AgCl reference and platinum counter electrode, to monitor lactate levels in culture medium, with a linear range of 0.5–5 mM, sensitivity of 20 nA.mM^?1, and dynamic range up to >9 mM. The lactate microband biosensors could operate continuously in culture medium over extended times (up to 24 h) at 37 °C. These biosensors were then applied to detect changes in lactate release from cultured cells in response to toxic challenge: m-dinitrobenzene (500 μM) caused a reduction in lactate production by high-passage number HepG2 single cells; D-galactosamine (20 mM) induced release of lactate by HepG2 spheroid cultures. This novel use of microband biosensors in cell culture has the potential for further application in toxicity monitoring, in both environmental and pharmaceutical areas.     

Comparative evaluation of critical operating conditions for a tubular catalytic reactor using thermal sensitivity and loss-of-stability criteria

Optimal operation of a chemical reactor according to various performance criteria often drives the system towards critical boundaries. Thus, precise evaluation of runaway limits in the parametric space becomes a crucial problem not only for the reactor’s safe operation, but also for over-designing the system. However, obtaining an accurate estimate for operating limits is a difficult task due to the limited validity of kinetic models describing complex processes, as well as the inherent fluctuations of the system’s properties (catalyst, raw-material quality). This paper presents a comparison of several effective methods of deriving critical conditions for the case of a tubular fixed-bed catalytic reactor used for aniline production in the vapour phase. Even though the methods being compared are related to one another, the generalised sensitivity criterion of Morbidelli-Varma (MV) seems to be more robust, not depending on a particular parameter being perturbed, when compared to the criteria that detect an incipient loss of system stability in the critical region (i.e., div-methods based on the system’s Jacobian and Green’s function matrix analysis). Combined application of div- and MV criteria allows for an accurate evaluation of the distance from the reactor’s nominal conditions to the safety limits.