Effect of injection on the flow of Oldroyd fluid in the inlet region of a channel

The effect of injection on the flow of Oldroyd fluid in the inlet region of a channel has been investigated using the moment and energy integrals, taking into account the loss of energy due to viscous dissipation in the boundary layer. Analytical expression for boundary layer development has been presented.     

Steady-state self-focusing of Gaussian electromagnetic beams in an inhomogeneous nonlinear medium: Effect of absorption and initial curvature of the beam

The authors have investigated the effect of linear absorption and initial curvature of an electromagnetic Gaussian beam on focusing/defocusing in an inhomogeneous nonlinear medium. Numerical computations have been made for linear inhomogeneity and saturating nonlinearity, characteristic of dielectrics and collisional plasmas. The maximum and minimum of the beam width keep decreasing with increase in distance of propagation (or absorption), till the beam becomes very weak and diverges steeply; penetration in an overdense medium also decreases with increasing absorption. Converging beams initially converge and then go in: (i) the oscillatory divergence (ii) self-focusing or (iii) steady divergence mode, depending upon the initial values of beam width and axial irradiance. The maximum penetration in an overdense medium has the highest values for −0.7<(df/dξ)_ξ=0<0.4 and falls sharply, outside these limits.     

Naproxen Inhibits UVB‐induced Basal Cell and Squamous Cell Carcinoma Development in Ptch1+/−/SKH‐1 Hairless Mice

Naproxen possesses anti‐proliferative and pro‐apoptotic effects besides its known anti‐inflammatory functions. Here, we demonstrate the anticancer effects of naproxen against UVB‐induced basal cell carcinoma (BCCs) and squamous cell carcinoma (SCCs) in a highly susceptible murine model of UVB carcinogenesis. Naproxen significantly inhibited UVB‐induced BCCs and SCCs in this model. Tumor number and volume were significantly decreased (P < 0.005 and P < 0.05, respectively). Inhibition in UVB‐induced SCCs and BCCs was 77% and 86%, respectively, which was associated with reduced PCNA and cyclin D1 and increased apoptosis. As expected, inflammation‐related iNOS, COX‐2 and nuclear NFκBp65 were also diminished by naproxen treatment. Residual tumors excised from naproxen‐treated animal were less invasive and showed reduced expression of epithelial‐mesenchymal transition (EMT) markers N‐cadherin, Vimentin, Snail and Twist with increased expression of E‐cadherin. In BCC and SCC cells, naproxen‐induced apoptosis and activated unfolded protein response (UPR) signaling with increased expression of ATF4, p‐eIF2α and CHOP. Employing iRNA‐based approaches, we found that naproxen‐induced apoptosis was regulated by CHOP as sensitivity of these cutaneous neoplastic cells for apoptosis was significantly diminished by ablating CHOP. In summary, these data show that naproxen is a potent inhibitor of UVB‐induced skin carcinogenesis. ER stress pathway protein CHOP may play an important role in inducing apoptosis in cancer cells.     

“On water” ultrasound-assisted one pot efficient synthesis of functionalized 2-oxo-benzo[1,4]oxazines: First application to the synthesis of anticancer indole alkaloid,Cephalandole A

For the first time, an efficient, simple, synthetic green protocol for the one-pot synthesis of functionalized 2-oxo-benzo[1,4]oxazines 24–29 in water under ultrasound irradiation is presented. As compared to conventional methods, the present protocol avoids traditional chromatography and purification steps and furnished the target molecules in excellent yields (upto 98%) with no side products. The methodology was also demonstrated on gram scale synthesis. Moreover, functionalized 2-oxo-quinoxaline analogues 31–33, another class of bio-active heterocyclic scaffolds, were also prepared using this method. For the first time, this protocol was successfully applied in the synthesis of the anticancer indole alkaloid, Cephalandole A 35.     

A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. I Equal diffusivities

A simple model for homogeneous-heterogeneous reactions in stagnation-point boundary-layer flow is constructed in which the homogeneous (bulk) reaction is assumed to be given by isothermal cubic autocatalator kinetics and the heterogeneous (surface) reaction by first order kinetics. The possible steady states of this system are analysed in detail in the case when the diffusion coefficients of both reactant and autocatalyst are equal. Hysteresis bifurcations leading to multiple solutions are found. The temporal stability of these steady states is then discussed.     

Zur Strömung viskoser Flüssigkeiten durch gewellte Rohre

Zusammenfassung Die Strömung zäher nicht-newtonscher Flüssigkeiten durch gewellte kreisförmige Rohre unter Wirkung eines axialen Druckgefälles wurde theoretisch und experimentell untersucht. Das besondere Interesse galt dabei der durch die Wellung veränderten Druck-Durchsatz-Charakteristik. Die theoretischen Betrachtungen beziehen sich auf den Grenzfall hinreichend langer Wellen, wo sich der Querschnitt des Flüssigkeitsfadens in Strömungsrichtung nur langsam ändert und sowohl die Trägheit als auch die Elastizität der Flüssigkeit eine untergeordnete Rolle spielen. In dieser Näherung konnte der Durchsatz in Abhängigkeit vom Druckgefälle und den nichtlinearen Fließeigenschaften der Flüssigkeit für beliebige Wellenamplituden analytisch bestimmt werden. Die theoretischen Ergebnisse sind in Einklang mit experimentellen Befunden.

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The flow of a non-Newtonian fluid driven by an axial pressure gradient through a corrugated pipe of circular cross-section is analysed theoretically and realized experimentally. Particular attention is directed toward the pressure-discharge characteristics of the pipe which change due to the corrugation. A theory is developed for the limiting case of corrugations with long wave-length, where the cross-section of the pipe varies gradually in the flow direction and the effects of inertia and elasticity of the fluid are of minor importance. Within such a long-wave approximation the flow rate, in dependence on the applied pressure drop and on the non-linear viscous properties of the fluid, is determined analytically for arbitrary wave amplitudes. The theoretical results are in agreement with experimental findings.

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Acid Catalyzed Efficient Syntheses of Aryl‐5H‐dibenzo[b,i]xanthene‐5,7,12,14‐(13H)‐tetraones and 3,3‐(Arylmethylene)bis(2‐hydroxynaphthalene‐1,4‐diones) and In Vitro Evaluation of their Antioxidant Activity

A simple and efficient synthesis of aryl‐5H‐dibenzo[b,i]xanthene‐5,7,12,14‐(13H)‐tetraones and 3,3‐(arylmethylene)bis(2‐hydroxynaphthalene‐1,4‐diones) by the condensation of aromatic aldehydes and 2‐hydroxy‐1,4‐naphthoquinone under extremely mild conditions using catalytic amount of H₂SO₄ or in the presence of acidic ionic liquid 1‐butyl‐3‐methylimidazolium hydrogen sulphate, which could be recycled, has been reported. The radical scavenging capacity of the synthesized compounds has been examined towards the stable free radical 2,2‐diphenyl‐1‐picrylhydrazyl (DPPH), and the compounds 2 were found to scavenge DPPH free radical efficiently.     

Efficient complexation of pyrrole-bridged dizinc(II) bisporphyrin with fluorescent probe pyrene: synthesis, structure, and photoinduced singlet-singlet energy transfer

A diethylpyrrole‐bridged dizinc(II) bisporphyrin (Zn₂DEP) is reported that encapsulates fluorescent probe pyrene molecules through strong π–π interactions, which can relay information about the chemical environment in the interior of the host–guest supramolecular assembly. X‐ray structures of both Zn₂DEP and the encapsulated pyrene complex are reported, which provides a rare opportunity to investigate the structural changes upon guest binding. A comparative structural analysis demonstrated the exceptional ability of this bisporphyrin platform to open its binding pocket for pyrene encapsulation by a vertical displacement of more than 2.45 Å, although both Zn₂DEP and the pyrene complex have nearly parallel porphyrin ring orientations. The ¹H NMR spectrum of the encapsulated pyrene complex in solution shows the upfield shifts of the pyrene protons due to a strong ring current effect, which demonstrates the retention of the solid‐state structure in solution. To further assess the extent to which pyrene guests remain encapsulated in solution, a known fluorescence quencher, dimethylaniline, was added to the host–guest assembly, which shows no exciplex formation for days in nonpolar solvents. Thus, the assembly also retained the structural integrity in solution for a long time. The association constant (K_asso) for such a complexation process in solution was observed to be 1.78×10⁵ M ^?2 for 1:2 binding. Steady‐state fluorescence and lifetime studies indicate significant photoinduced singlet–singlet energy transformation from the excited state of pyrene to zinc bisporphyrin.     

Thermal analyses of organic powders made from precipitation polymerization of triallyl monomers

Organic solids have been prepared from radical-initiated activation of solutions composed of tetradecane and triallyl trimesate (TAM) monomer or triallyl phosphate (TAP) monomer using a recently developed variation of precipitation polymerization methods. The powders, which comprise fused aggregates, are shown to be rich in monomer (83–88 wt% TAM or 86–92 wt% TAP), and are believed to be formed by a combination of hydrocarbon addition and allyl group oligomerization. TAM-g-tetradecane primary particles are on the order of 500 nm in diameter, while TAP-g-tetradecane particles are on the order of 100–200 nm diameter. These products are thermochemically assessed using a combination of differential scanning calorimetry, thermogravimetry and pyrolysis combustion flow calorimetry. The phosphorus-containing TAP-g-tetradecane shows exothermic activity around 230 °C, likely due to thermal decomposition of the trialkyl phosphate moiety, and may find use in advanced materials applications.