Asymptotic analysis for the coupled wavenumbers in an infinite fluid-filled flexible cylindrical shell: The beam mode

Using asymptotics, the coupled wavenumbers in an infinite fluid-filled flexible cylindrical shell vibrating in the beam mode (viz. circumferential wave order n = 1) are studied. Initially, the uncoupled wavenumbers of the acoustic fluid and the cylindrical shell structure are discussed. Simple closed form expressions for the structural wavenumbers (longitudinal, torsional and bending) are derived using asymptotic methods for low- and high-frequencies. It is found that at low frequencies the cylinder in the beam mode behaves like a Timoshenko beam. Next, the coupled dispersion equation of the system is rewritten in the form of the uncoupled dispersion equation of the structure and the acoustic fluid, with an added fluid-loading term involving a parameter mu due to the coupling. An asymptotic expansion involving mu is substituted in this equation. Analytical expressions are derived for the coupled wavenumbers (as modifications to the uncoupled wavenumbers) separately for low- and high-frequency ranges and further, within each frequency range, for large and small values of mu. Only the flexural wavenumber, the first rigid duct acoustic cut-on wavenumber and the first pressure-release acoustic cut-on wavenumber are considered. The general trend found is that for small mu, the coupled wavenumbers are close to the in vacuo structural wavenumber and the wavenumbers of the rigid-acoustic duct. With increasing mu, the perturbations increase, until the coupled wavenumbers are better identified as perturbations to the pressure-release wavenumbers. The systematic derivation for the separate cases of small and large mu gives more insight into the physics and helps to continuously track the wavenumber solutions as the fluid-loading parameter is varied from small to large values. Also, it is found that at any frequency where two wavenumbers intersect in the uncoupled analysis, there is no more an intersection in the coupled case, but a gap is created at that frequency. This method of asymptotics is simple to implement using a symbolic computation package (like Maple). (C) 2008 Elsevier Ltd. All rights reserved.

Microstructure-hardness-fretting wear resistance correlation in ultrafine grained Cu-TiB2-Pb composites

The retention of the desired combination of mechanical/tribological properties in ultrafine grained materials presents important challenges in the field of bulk metallic composites. In order to address this aspect, the present work demonstrates how one can achieve a good combination of hardness and wear resistance in Cu-Pb-TiB2 composites, consolidated by spark plasma sintering at low temperatures ( < 500 degrees C). Transmission electron microscope (TEM) studies reveal ultrafine grains of Cu (100-400 nm) with coarser TiB2 particles (1-2 mu m) along with fine scale Pb dispersoid at triple junctions or at the grain boundaries of Cu. Importantly, a high hardness of around 2.2 GPa and relative density of close to 90% relative density (rho(theo)) have been achieved for Cu-15 wt% TiB2-10 wt% Pb composite. Such property theo, combination has never been reported for any Cu-based nanocomposite, by conventional processing route. In reference to the tribological performance, fretting wear tests were conducted on the sintered nanocomposites and a good combination of steady state COF (0.6-0.7) and wear rate (10-4 mm(3)/N m) were measured. An inverse relationship between wear rate and hardness was recorded and this commensurates well with Archard's relationship of abrasive wear. The formation of a wear-resistant delaminated tribolayer consisting of TiB2 particles and ultrafine oxide debris, (Cu, Fe, Ti)(x)O-y as confirmed from subsurface imaging using focused ion beam microscopy has been identified as the key factors for the low wear rate of these composites. (C) 2014 Elsevier B.V. All rights reserved.

Cyro-hydrogel for the construction of a tyrosinase-based biosensor

A new immobilization method for construction of a tyrosinase based biosensor is described. A simple physical freezing technique was adopted for preparation. The immobilized enzyme yields specific activities that are more than 22% of the soluble enzyme. The enzyme electrode can be stored in dry state for more than three months without any loss of activity. The biosensor was applied to the determination of several phenols and o-diphenols. The lowest detect limit is 0.02 mu mol/1 and the linear range was 1.0 X 10(-7)-1.0 X 10(-4) mol/1 for catechol. The kinetic parameters have also been calculated.

REEVALUATION OF 2,2-BIPYRIDINE AND PYRAZINE AS PROMOTERS FOR DIRECT ELECTRON-TRANSFER BETWEEN CYTOCHROME-C AND METAL-ELECTRODES

Results from previous electrochemical studies have indicated that 2,2'-bipyridine and pyrazine do not function as promoters for heterogeneous electron transfer between cytochrome c and metal electrodes. Their lack of activity was attributed to the improper positioning of the two functional groups in 2,2'-bipyridine and the inefficient length of pyrazine. In the present study it was determined that both 2,2'-bipyridine and pyrazine act as promoters when self-absorbed over a sufficiently long dipping time or at roughened electrodes. The promoter characteristics of these two molecules were studied and compared with those of 4,4'-bipyridine. The difference in their promoter behavior appears to result primarily from their different strengths of adsorption and not because electrodes modified with 2,2'-bipyridine or pyrazine are unsuitable for accelerating direct electron transfer reactions in cytochrome c. These results have implications regarding the mechanism(s) of promoter effects in electrochemical reactions of cytochrome c.