Determining the correct matching boundary condition is fundamental to our understanding of several everyday problems. Despite over a century of scientific work, existing velocity boundary conditions are unable to consistently explain and capture the complete physics associated with certain common but complex problems, such as moving contact lines and corner flows. The widely used Maxwell and Na...

bioremediation of heavy metals remains a major challenge in environmental biotechnology. biosorption is a novel technique for decreasing metal ion content in the waste water. biosorption experiments for cu (ii) were investigated in this study using bacteria isolated from the industrial effluent. the results showed that the dead cells of pseudomonas sp. were an efficient adsorbent of cu (ii). fo...

the sorption behavior of loofa-immobilized phanerochaete chrysosporium mycelia in two forms, live (l) and heat-inactivated (hia), was studied for the removal of hg2+ ions from aqueous solution. using the langmuir isotherm, the two key parameters for the sorption performance, qm and the coefficient b, were obtained; the qm values for hg2+ ions were 72.46 mg/g and 92.59 mg/g and the b coefficient...

We consider a compressible gas-liquid drift-flux model with a general slip law commonly used to describe realistic two-phase flow scenarios. The slip law will introduce a difference in the magnitude of the two fluid velocities, and they possibly also have different sign. This allows the model to describe the effect of buoyant forces, for example in a vertical conduit, where heavy liquid will mo...

We present a model describing friction due to the thermally activated formation and rupture of molecular bonds between two surfaces, with long molecules on one surface attaching to discrete or continuous binding sites on the other. The physical assumptions underlying this model are formalized using a continuum approximation resulting in a class of master-equation-like partial differential equat...

Microscale fluid dynamics has received intensive interest due to the emergence of MicroElectro-Mechanical Systems (MEMS) technology. When the mean free path of the gas is comparable to the channel’s characteristic dimension, the continuum assumption is no longer valid and a velocity slip may occur at the duct walls. Non-circular cross sections are common channel shapes that can be produced by m...

Inelastic deformation of metallic glasses occurs via slip events with avalanche dynamics similar to those of earthquakes. For the first time in these materials, measurements have been obtained with sufficiently high temporal resolution to extract both the exponents and the scaling functions that describe the nature, statistics and dynamics of the slips according to a simple mean-field model. Th...

We present a new stability analysis for hybrid legged locomotion systems based on the “symmetric” factorization of return maps.We apply this analysis to two-degrees-of-freedom (2DoF) and threedegreesoffreedom (3DoF) models of the spring loaded inverted pendulum (SLIP) with different leg recirculation strategies. Despite the non-integrability of the SLIP dynamics, we obtain a necessary condition...