This review of shear dispersion emphasizes that the usual one-dimensional diffusion equation, derived by Taylor [ Proc. R. Sot. London Ser. A 219, 186 ( 1953) 1, is an asymptotic result that is valid only at large time. One route to earlier validity is a systematic wave-number expansion based on the center manifold theorem. This procedure captures much of the early behavior but it does discard ...

Microwave sintering (MW) allows fast heating (?30 min) and densification of ceramic materials, like alumina Al2O3. In order to predict the final material properties (density, size grain size) mechanical SOVS (Skorohold Olevsky Viscous Sintering) model is adapted validated for conventional alumina. The implemented on ABAQUS with UMAT subroutine. Secondly, modified microwave by adapting shear vis...

Mamaku gum is a polysaccharide extracted from the fronds of the black tree fern found in New Zealand. The cooked pith has traditionally been used for various medicinal purposes and as a food source by the Maori people of New Zealand. It has potential applications as a thickener in the food industry and as a palliative for patients with dysphagia. Studies on the shear rheology of Mamaku gum have...

The magnetorotational instability is thought to be responsible for the generation of magnetohydrodynamic turbulence that leads to enhanced outward angular momentum transport in accretion discs. Here, we demonstrate that, during the exponential growth of the instability, the mean Reynolds stress is always positive, the mean Maxwell stress is always negative, and hence the total stress is positiv...

In cell culture, when cells are inoculated into fresh media, there can be a period of slow (or lag phase) growth followed by a transition to exponential growth. This period of slow growth is usually attributed to the cells' adaptation to a new environment. However, we argue that, based on observations of shaken suspension culture of Dictyostelium discoideum, a model single-cell eukaryote, this ...

We formulate a microscopic, force-level, activated dynamics-based statistical-mechanical theory for the continuous startup nonlinear shear-rheology of ultra-dense glass-forming hard-sphere fluids and colloidal suspensions in context ECNLE approach. Activated structural relaxation is described as coupled local-nonlocal event involving caging longer-range collective elasticity which controls char...

We use the Airy stress function to derive exact solutions for plane strain deformations of a functionally graded (FG) hollow cylinder with the inner and the outer surfaces subjected to different boundary conditions, and the cylinder composed of an isotropic and incompressible linear elastic material. For the shear modulus given by either a power law or an exponential function of the radius r, w...

Low-temperature high-stress rheology of olivine was investigated under water-saturated conditions by large strain shear deformation experiments using the Griggs-type apparatus. Samples at T=1273–1373K and P=2GPa under water-saturated conditions deformed under a significantly lower applied stress than expected from the power-law relation and the strain rate increases more rapidly with stress. Th...

Non-monotonic velocity profiles are an inherent feature of mixing flows obeying non-slip boundary conditions. There are, however, few known models laminar which incorporate this and have proven properties. Here we present such a model, alternating between two non-monotonic shear act in orthogonal (i.e. perpendicular) directions. Each is defined by independent variable, giving two-dimensional pa...