Incompressible fluid flow simulations with flow rate as the sole information at synthetic inflow and outflow boundaries

In numerically simulating heat and mass transport processes in an unconfined domain involving synthetic open (inflow and/or outflow) boundaries, how to properly specify flow conditions at these boundaries can become a challenging issue. In this work, within the context of a pressure‐based finite volume method under an unstructured grid, a solution procedure without the need for explicit specification of flow profiles at any of these boundaries when simulating incompressible fluid flow is proposed and numerically examined. Within this methodology, the flow at any open boundary is not necessarily assumed to be unidirectional or fully developed; indeed, the sole information required is the mass flow rate crossing the boundary. As a result, one can select the specific region of interest to perform simulations, rather than having to artificially increase the flow domain so as to invoke fully developed flow at all open boundaries. This not only greatly reduces computational costs (both in terms of memory requirements and simulation run‐time) but provides the means to engage with flow problems, which otherwise cannot be solved with currently available methods for handling the flow conditions at open boundaries. The proposed methodology is demonstrated by simulating laminar flow of an incompressible fluid in a two‐dimensional planar channel with a 90° T‐branch, a known inflow rate, and flow splits for the two outflow channels. The results obtained by placing the entrance and the two exits at different locations show that the flow behavior predicted is completely unaffected by using a highly truncated domain. Copyright © 2015 John Wiley & Sons, Ltd.     

An investigation of the complexation of host <Emphasis Type="Italic">N,N′</Emphasis>-bis(9-phenyl-9-thioxanthenyl)ethylenediamine with dihaloalkane guests

In this study, the formation of supramolecular inclusion complex of doxorubicin (DOX), a high loading and pH-dependent delivery of DOX on β-CD dendrimer was studied. β-cyclodextrin (β-CD) dendrimer having β-CD in both periphery and core was prepared with entrapment efficiency using click reaction. The encapsulation property of the β-CD-dendrimer was investigated by DOX as model drug. The chemical construction of β-CD-dendrimer was described by ¹H NMR, ¹³C NMR and FTIR and its inclusion complex construction was studied by FTIR, DSC, SEM, and DLS techniques. It was confirmed that β-CD dendrimer able to encapsulate DOX in solution; as a result, the designed complex revealed pH-dependent sustained release of DOX, in vitro. Also, the in vitro outcomes on T47D cells displayed that complexation of DOX with β-CD dendrimer involved an improvement of in vitro cytotoxicity and anticancer activity and this data appeared to be as a result of the developed solubility of the DOX.     

Preparation of Bragg mirrors on silica optical fibers and inner walls of silica capillaries by employing the sol–gel method,and titanium and silicon alkoxides

Journal of Sol-Gel Science and Technology - The paper presents results on sol–gel preparation and characterization of multilayered coatings, Bragg mirrors, on silica slides, silica fibers,...     

A simple and cost-effective synthesis of sulfated β-cyclodextrin and its application as chiral mobile phase additive in the separation of cloperastine enantiomers

Journal of Inclusion Phenomena and Macrocyclic Chemistry - A simple and cost-effective method for the synthesis of sulfated β-cyclodextrin, one of the most widely used chiral mobile phase...     

Generalized sensitivity analysis of nonlinear programs using a sequence of quadratic programs

ABSTRACT

Local sensitivity information is obtained for KKT points of parametric NLPs that may exhibit active set changes under parametric perturbations; under appropriate regularity conditions, computationally relevant generalized derivatives of primal and dual variable solutions of parametric NLPs are calculated. Ralph and Dempe obtained directional derivatives of solutions of parametric NLPs exhibiting active set changes from the unique solution of an auxiliary quadratic program. This article uses lexicographic directional derivatives, a newly developed tool in nonsmooth analysis, to generalize the classical NLP sensitivity analysis theory of Ralph and Dempe. By viewing said auxiliary quadratic program as a parametric NLP, the results of Ralph and Dempe are applied to furnish a sequence of coupled QPs, whose unique solutions yield generalized derivative information for the NLP. A practically implementable algorithm is provided. The theory developed here is motivated by widespread applications of nonlinear programming sensitivity analysis, such as in dynamic control and optimization problems.     

An Efficient Preparation of 2,6-Di-t-Butyl-1,4-Benzoquinone

A convenient and high yielding preparation of 2,6-di-t-butyl-1,4-benzoquinone from the iron-catalyzed oxidation of 2,4,6-tri-t-butylphenol with t-butyl hydroperoxide (TBHP) under acidic conditions is reported.