Transient growth in the flow past a three-dimensional smooth roughness element

This work provides a global optimization analysis, looking for perturbations inducing the largest energy growth at a finite time in a boundary-layer flow in the presence of smooth three-dimensional roughness elements. Amplification mechanisms are described which can bypass the asymptotical growth of Tollmien–Schlichting waves. Smooth axisymmetric roughness elements of different height have been studied, at different Reynolds numbers. The results show that even very small roughness elements, inducing only a weak deformation of the base flow, can localize the optimal disturbance characterizing the Blasius boundary-layer flow. Moreover, for large enough bump heights and Reynolds numbers, a strong amplification mechanism has been recovered, inducing an increase of several orders of magnitude of the energy gain with respect to the Blasius case. In particular, the highest value of the energy gain is obtained for an initial varicose perturbation, differently to what found for a streaky parallel flow. Optimal varicose perturbations grow very rapidly by transporting the strong wall-normal shear of the base flow, which is localized in the wake of the bump. Such optimal disturbances are found to lead to transition for initial energies and amplitudes considerably smaller than sinuous optimal ones, inducing hairpin vortices downstream of the roughness element

Sustainability of collusion and market transparency in a sequential search market: a generalization

The present work generalizes the analytical results of Petrikaite (2016) to a market where more than two firms interact. In other words, we show that, for a generic number of firms in a homogeneous goods market where a continuum of buyers searches sequentially, the relationship between the minimum discount factor which allows the sellers to collude and the share of buyers with null search cost is non-monotonic, reaching a unique interior point of minimum. The first section discusses the motivation of our work and exposes the related literature. The second section summarizes the model of Petrikaite (2016). The third section presents the analytical computations and the mathematical reasoning needed for our generalization, which mainly relies on the Leibniz rule for differentiation under the integral sign and the Bounded Conver­gence Theorem. The fourth section offers policy implications of market design and suggestions for further research

Halogen and hydrogen bonding in multicomponent crystals of tetrabromo-1H-benzotriazole

4,5,6,7-Tetrabromo-1H-benzotriazole (TBBT) is still considered a reference inhibitor of casein kinase II (CK2), a valuable target for anticancer therapy, even though the poor solubility in water of this active pharmaceutical ingredient (API) has prevented its implementation in therapy. We decided to explore the interactions preferentially formed by TBBT in crystalline solids in order to obtain information helpful for the development of new TBBT cocrystals possibly endowed with improved bioavailability. In this paper, we describe the synthesis and the structural characterization of the TBBT methanol solvate and of the TBBT salt with N,N,Nâ\u80²,Nâ\u80²-tetramethylethylenediamine. It is shown that TBBT can give rise to several competing interactions. This API is clearly a good halogen bond (XB) donor, with bromine atoms adjacent to the triazole ring possibly better donors than the two others. TBBT is also a good hydrogen bond (HB) donor, with the triazole hydrogen forming an HB with the acceptor or being transferred to it. Interestingly, one of the triazole nitrogens was proven to be able to work as a hydrogen bond acceptor

Tubulo-interstitial lesions mediate renal damage in adriamycin glomerulopathy

Tubulo-interstitial lesions mediate renal damage in adriamycin glomerulopathy. The present study was designed to investigate the relationship between proteinuria, focal sclerosis, and tubulo-interstitial changes in the evolution of renal damage in experimental nephrosis. We utilized an accelerated unilateral model of adriamycin (ADR) nephrosis characterized by morphological changes more severe than in the classical model. The first events in ADR-induced glomerulopathy were epithelial cell damage and proteinuria. Subsequently, tubular casts were formed at the distal level. The cast formation preceded the development of interstitial damage, which was determined by tubular obstruction and breaking of tubular basement membrane (TBM), which in turn promoted an interstitial inflammatory reaction. Despite the severity of tubulo-interstitial damage observed after a long period of heavy proteinuria, the incidence of focal segmental glomerulosclerosis (FSG) was very low. The results of the present study indicate that chronic proteinuria is not necessarily accompanied by the development of focal sclerosis Tubulo-interstitial lesions appear to be the most important determinant for the progression of renal damage in this model

Systematic Study of Podand Molecules for Synergistic Halogen and Hydrogen Bond-Driven Anion Recognition in the Solid State

The increasing demand of species for the efficient capture and sensing of anions benefits from a systematic study of anion binding capabilities in the solid state. This work reports a detailed crystallographic study of ten structurally related podands and shows that these charged receptors bind anions with a combination of charge-assisted halogen and hydrogen bonds. Computational tools helped in highlighting the role of the different involved interaction and afforded possible design principles for the design of improved podands

Halogen bonding in hypervalent iodine and bromine derivatives: Halonium salts

Halogen bonds have been identified in a series of ionic compounds involving bromonium and iodonium cations and several different anions, some also containing hypervalent atoms. The hypervalent bromine and iodine atoms in the examined compounds are found to have positive Ï\u83-holes on the extensions of their covalent bonds, while the hypervalent atoms in the anions have negative Ï\u83-holes. The positive Ï\u83-holes on the halogens of the studied halonium salts determine the linearity of the short contacts between the halogen and neutral or anionic electron donors, as usual in halogen bonds

An Evaluation Matrix to Compare Computer Hydrological Models for Flood Predictions

In order to predict and control the impacts of floods in torrents, it is important to verify the simulation accuracy of the most used hydrological models. The performance verification is particularly needed for applications in watersheds with peculiar climatic and geomorphological characteristics, such as the Mediterranean torrents. Moreover, in addition to the accuracy, other factors affect the choice of software by stakeholders (users, modellers, researchers, etc.). This study introduces a “performance matrix”, consisting of several evaluation parameters weighted by stakeholders’ opinions. The aim is to evaluate the accuracy of the flood prediction which is achieved by different models, as well as the pros and cons of software user experience. To this aim, the performances and requisites of four physical-based and conceptual models (HEC-HMS, SWMM, MIKE11 NAM and WEC-FLOOD) have been evaluated, by predicting floods in a midsized Mediterranean watershed (Mèsima torrent, Calabria, Southern Italy). In the case study, HEC-HMS and MIKE 11 NAM were the best computer models (with a weighted score of 4.45 and 4.43, respectively), thanks to their low complexity and computation effort, as well as good user interface and prediction accuracy. However, MIKE11 NAM is not free of charge. SWMM showed a lower prediction accuracy, which put the model in third place of the four models. The performance of WEC-FLOOD, although not being as good as for the other tested models, can be considered overall acceptable in comparison to the other well-consolidated models, considering that WEC-FLOOD is in the early stage of development. Overall, the proposal of the performance matrix for hydrological models may represent a first step in building a more complete evaluation framework of the hydrological and hydraulic commercial models, in order to give indications to allow potential users to make an optimal choice