Semi-similar solutions of the unsteady compressible second-order boundary layer flow at the stagnation point

Semi-similar solutions of the unsteady compressible laminar boundary layer flow over two-dimensional and axisymmetric bodies at the stagnation point with mass transfer are studied for all the second-order boundary layer effects when the free stream velocity varies arbitrarily with time. The set of partial differential equations governing the unsteady compressible second-order boundary layers representing all the effects are derived for the first time. These partial differential equations are solved numerically using an implicit finite-difference scheme. The results are obtained for two particular unsteady free stream velocity distributions: (a) an accelerating stream and (b) a fluctuating stream. It is observed that the total skin friction and heat transfer are strongly affected by the surface mass transfer and wall temperature. However, their variation with time is significant only for large times. The second-order boundary layer effects are found to be more pronounced in the case of no mass transfer or injection as compared to that for suction. Résumé Des solutions semi-similaires d'écoulement variable compressible de couche limite sur des corps bi-dimensionnels thermique, sont étudiées pour tous les effets de couche limite du second ordre, lorsque la vitesse de l'écoulement libre varie arbitrairement avec le temps. Le systéme d'équations aux dérivées partielles représentant tous les effets est écrit pour la premiére fois. On le résout numériquement á l'aide d'un schéma implicite aux différences finies. Les résultats sont obtenus pour deux cas de vitesse variable d'écoulement libre: (a) un écoulement accéléré et (b) un écoulement fluctuant. On observe que le frottement pariétal total et le transfert de chaleur sont fortement affectés par le transfert de masse et la température pariétaux. Néanmoins, leur variation avec le temps est sensible seulement pour des grandes durées. Les effets sont trouvés plus prononcés dans le cas de l'absence du transfert de masse ou de l'injection par rapport au cas de l'aspiration.

Total synthesis of (+/-)-herbertenediol

A formal total synthesis of the sesquiterpene (+/-)-herbertenediol and its dimers mastigophorenes A-D has been accomplished, starting from vanillin via 2,3-dimethoxy-5-methylbenzaldehyde. A combination of Claisen rearrangement and ring-closing metathesis reactions were employed for the generation of the two vicinal quaternary carbons on a cyclopentane ring.

The first total synthesis of (+/-)-lagopodin A

The first total synthesis of (±)-lagopodin A and a formal total synthesis of enokipodins A and B is described. The requisite precursors containing two vicinal quaternary carbon atoms were assembled employing Claisen rearrangement and an RCM reaction as key steps starting from 2,5-dimethoxy-4-methylacetophenone.

Total synthesis ofdl-9(11)-dehydrotestosterone anddl-testosterone

17β-Hydroxy-des-A-androst-9-en-5-one (II, R=OH), prepared fromtrans-1β-hydroxy-8-methyl-4, 5-(3′-methyl-4′-methoxybenzo)-hydrindane (I, R=CH3)′, has been converted intodl-9(II)-dehydrotestosterone (IV, R=OH) anddl-testosterone (IX) in very short sequences of steps, albeit in poor yields.

Rearrangement of homobrendane derivatives. Total syntheses of racemic copacamphor, ylangocamphor, and their homologs

Rearrangement of a homobrendane derivative 8a to perhydro-1,4-methanoindenesy stem 9a could be brought about either by p-toluenesulfonic acid or boron trifluoride etherate. Similarly, rearrangement of 8b-d led to the formation of perhydro-1,4-methanoindened erivatives 9b-d. On the basis of the location of substituents in the starting material and the product, a probable mechanistic pathway has been suggested. The appropriate modification of the peripheral functionalities in 9 led to efficient total syntheses of (f)-copacamphor (15a),(f)-ylangocamphor (16a), and their homologues 15b and 16b.

Total synthesis of (+/-)-merrilactone A

As a consequence of the advancing age profile of the global population, particularly in developed nations,nerrodegener-ative disorders such as Alzheimers and Parkinsons diseases have emerged as a major public health concern. In this regard, neurotrophic agents, which have been implicated in the maintenance and growth of neurons as well as prevention of neuronal death, are being considered as potential leads for therapeutic development.

Total risk rating and stability analysis of embankment dams in the Kachchh Region, Gujarat, India

A method for total risk analysis of embankment dams under earthquake conditions is discussed and applied to the selected embankment dams, i.e., Chang, Tapar, Rudramata, and Kaswati located in the Kachchh region of Gujarat, India, to obtain the seismic hazard rating of the dam site and the risk rating of the structures. Based on the results of the total risk analysis of the dams, coupled non-linear dynamic numerical analyses of the dam sections are performed using acceleration time history record of the Bhuj (India) earthquake as well as five other major earthquakes recorded worldwide. The objective of doing so is to perform the numerical analysis of the dams for the range of amplitude, frequency content and time duration of input motions. The deformations calculated from the numerical analyses are also compared with other approaches available in literature, viz, Makdisi and Seed (1978) approach, Jansen's approach (1990), Swaisgood's method (1995), Bureau's method (1997). Singh et al. approach (2007), and Saygili and Rathje approach (2008) and the results are utilized to foresee the stability of dams in future earthquake scenario. (C) 2010 Elsevier B.V. All rights reserved.

Total syntheses of the fungal metabolites (+/-)-acremines A, B and I

A concise and diversity-oriented approach, incorporating elements of regio- and stereocontrol, to the recently isolated bioactive polyoxygenated cyclohexanoid natural products acremines A. B and I. from commercially accessible building blocks, is outlined. (c) 2010 Elsevier Ltd. All rights reserved.

Total synthesis of the fungal metabolite (+/-)-acremine G: acceleration of a biomimetic Diels-Alder reaction on silica gel

A total synthesis of the bioactive tetracyclic natural product acremine G has been achieved in which a regio- and stereoselective biomimetic Diels-Alder reaction between two readily assembled building blocks, accelerated on a solid support (silica gel), forms the key step. (c) 2010 Elsevier Ltd. All rights reserved.

Effect of a linear potential variation on the gate of an FET

This correspondence aims at reporting the results of an analysis carried out to find the effect of a linear potential variation on the gate of an FET.

Vinyl radical induced Michael additions: Total synthesis of (±)-seychellene

A new strategy for the total synthesis of (±)-seychellene which involves (i) a regiospecific construction of a bicyclo(2.2.2)octene moiety having a methyl group at the bridgehead and (ii) a vinyl radical induced intramolecular Michael addition is described.

Enantiospecific total synthesis of aciphyllene

Enantiospecific total synthesis of the sesquiterpene aciphyllene and its three epimers have been described starting from the readily available monoterpene (R)-limonene employing an intramolecular type II carbonyl ene reaction as the key step. (C) 2010 Elsevier Ltd. All rights reserved.

Enantiodivergent Formal Total Synthesis of Aspercyclide C from L-(+)-Tartaric Acid

The enantiodivergent formal syntheses of both enantiomers of aspercyclide C is accomplished. Starting from L-(+)-tartaric acid, the key protected allylic alcohol, (3R,4R)-4-(methoxy-methoxy) non-1-en-3-ol is prepared, and is then elaborated into both enantiomers of 3-(4-methoxybenzyl)oxy]non-1-en-4-ol via Mitsunobu inversion. Esterification with a known biaryl acid, followed by ring-closing metathesis and deprotection completes the syntheses.

First total synthesis of a natural thapsane

A stereospecific first total synthesis of a natural thapsane 1, from the readily available cyclogeraniol 8, is described.

DNA polymorphism and local variation in base-pair orientation: a theoretical rationale

Basepair stacking calculations have been carried out to understand the conformational polymorphism of DNA and its sequence dependence. The recently developed self-consistent parameter set, which is specially suitable for describing irregular DNA structures, has been used to describe the geometry of a basepair doublet. While for basepairs without any propeller, the favourable stacking patterns do not appear to have very strong features, much more noticeable sequence dependent stacking patterns emerge once a propeller is applied to the basepairs. The absolute minima for most sequences occurs for a doublet geometry close to the B-DNA fibre models. Hence in the B-DNA region, no strong sequence dependent features are found, but the range of doublet geometries observed in the crystal structures generally lie within the low energy contours, obtained from stacking energy calculations. The doublet geometry corresponding to the A-DNA fibre model is not energetically favourable for the purine-pyrimidine sequences, which prefer small roll angle values when the slide has a large negative value as in A-DNA. However positive roll with large negative slide is allowed for GG, GA, AG and the pyrimidine-purine steps. This is consistent with the observed geometries of various steps in A-DNA crystals. Thus the general features of the basepair doublets predicted from these theoretical studies agree very well with the results from crystal structure analysis. However, since most sequences show an overall preference for B-type doublet geometry, the B --> A transition for random sequence DNA cannot be explained on the basis of basepair stacking interactions.