Stabilized finite‐element computation of compressible flow with linear and quadratic interpolation functions

The unsteady compressible flow equations are solved using a stabilized finite‐element formulation with C⁰ elements. In 2D, the performance of three‐noded linear and six‐noded quadratic triangular elements is compared. In 3D, the relative performance is evaluated for 6‐noded linear and 18‐noded quadratic wedge elements. Results are compared for the solutions to Euler, laminar, and turbulent flows at different Mach numbers for several flow problems. The finite‐element meshes considered for comparison have same location of nodes for the linear and quadratic interpolations. For the turbulent flow, the Spalart–Allmaras model is used for closure. It is found that the quadratic elements yield better performance than the linear elements. This is attributed to accurate representation of the stabilization terms that involve second‐order derivatives in the formulation. When these terms are dropped from the formulation with quadratic interpolation, the numerical results are similar to those obtained with linear interpolation. The absence of these terms result in added numerical diffusion that seems to give the effect of a relatively reduced Reynolds number. For the same location of nodes, the computations with the linear triangular and wedge elements are approximately 20% and 100% faster than those with quadratic triangular and wedge elements, respectively. However, if the same quadrature rule for numerical integration is used for both interpolations, the computations with quadratic elements are approximately 20% and 45% faster in 2D and 3D, respectively. Copyright © 2014 John Wiley & Sons, Ltd.     

Multifractal analysis of sputtered CaF2 thin films

The surface morphologies of CaF₂ thin films prepared by electron beam evaporation technique were measured by atomic force microscopy. The films were bombarded by energetic ion beams of different fluences, which modified the surface morphology predominantly via the process of erosion. The dependence of the surface morphology on ion fluence was explored using multifractal analysis. It was found that the roughness of the film first decreased with ion fluence but increased at higher fluences. Copyright © 2013 John Wiley & Sons, Ltd.     

Approach to Synthesis of γ-Aminobutyric Acid (GABA) Analogues with Rigid Conformations - Convenient One Pot Synthesis of Functionalized Bisnaphthalenes

Silica gel supported cerium (IV) ammonium nitrate has been successfully employed to achieve functionalized C-C-linked bisnaphthalenes. The study demonstrates the utility of silica gel support for controlling over oxidation in cerium (IV) based oxidants and is of significance to prepare GABA analogues with restricted conformation required for studying GABAergic processes in neurochemical investigations.     

PE-CPE blends and their graphene oxide nanocomposites with reduced low temperature brittleness

The low-temperature flexibility of polyethylene (PE)–chlorinated polyethylene (CPE) blends and their composites with a small amount of graphene oxide filler was studied. Quantitative height variation in the AFM images, rheological as well as fracture analyses were employed to gain insights into the generation of flexibility in the matrix phase. The semi-crystalline CPE (CPE25) polymer did not induce viscoelastic behavior at temperatures lower than the glass transition temperature of PE, whereas the amorphous CPE (CPE35) had completely different behavior. The samples with CPE35 could not be sufficiently hardened even at ?180 °C and remained too soft for cryosectioning. Therefore, compression, which results in a 30–60 % reduction in length along the cutting direction with no change in the dimension perpendicular to it, was very prominent for both thin section and block face of the sample. The composites had even higher degree of compression due to additional effect of weak filler matrix interactions and as a consequence, the topographical variations led to filler pull out during sectioning. It was also confirmed using the rheological analysis that composites (and blends with 10 % CPE35 content) had phase immiscibility as CPE phase was suspected to concentrate near the graphene oxide phase leading to generation of chlorine-rich phases. The addition of graphene oxide did not lead to reduced flexibility and the composites also retained the modulus similar to pure polymer. The mechanical fracture of the samples also confirmed the flexibility of the CPE containing blends and composites as these samples were still flexible at ?195 °C.     

A Sufficient Condition for (F1)-Effectiveness of theCT-Method

The study of (F)-effectiveness of theN_p-method was initiated by Hille and Tamarkin. In this direction, Dikshit investigated (F₁)-effectiveness of the product methodC¹N_p-method. Recently Kumar and Prasad established the necessary condition for (F₁)-effectiveness of the product method. In this note, we extend the corresponding sufficient part of Kumar and Prasad to theC¹T-method.