Fundamentals of steady state, non-Newtonian rimming flow

Rimming flow on the inner surface of a horizontal rotating cylinder is investigated. Using a scale analysis, a theoretical description is obtained for steady-state non-Newtonian flow. Simple lubrication theory is applied since the Reynolds number is small and the liquid film is thin. Since the Deborah number is very small the flow is viscometric. The shear-thinning number, which characterizes the shear-thinning effect, may be small or large. A general constitutive law for this kind of flow requires only a single function relating shear stress and shear rate that corresponds to a generalized Newtonian liquid. For this case the run-off condition for rimming flow is derived. Provided the run-off condition is satisfied, the existence of a continuous steady-state solution is proved. The rheological models, which show Newtonian behavior at low shear rates with transition to power-law shear thinning at moderate shear rates, are considered. Numerical results are carried out for the Carreau and Ellis models, which exhibit Newtonian behavior near the free surface and power-law behavior near the wall of the rotating cylinder.

Multiple Markers of Inflammation in Crevicular Fluid During Experimental Gingivitis

Objective: To evaluate temporal changes in GCF levels of substance P, cathepsin G, interleukin 1 beta (IL-1&beta), neutrophil elastase and alpha1-antitrypsin (&alpha1AT) during development of and recovery from experimental gingivitis. Methods: Healthy human volunteers participated in a split-mouth study: experimental gingivitis was induced using a soft vinyl splint to cover test teeth during brushing over 21 days, after which normal brushing was resumed. Modified gingival index (MGI), gingival bleeding index (BI) and modified Quigley and Hein plaque index (PI) were assessed and 30-second GCF samples taken from 4 paired test and contra-lateral control sites in each subject at days 0, 7, 14, 21, 28 and 42. GCF volume was measured and site-specific quantification of one analyte per GCF sample was performed using radioimmunoassay (substance P), enzyme assay (cathepsin G) or ELISA (IL-1&beta, elastase, &alpha1AT). Site-specific data were analysed using analysis of repeated measurements and paired sample tests. Results: 56 subjects completed the study. All measurements at baseline (day 0) and at control sites throughout the study were low. Clinical indices and GCF volumes at the test sites increased from day 0, peaking at day 21 (difference between test and control for PI, BI, MGI and GCF all p<0.0001) and decreased again to control levels by day 28. Levels of four inflammatory markers showed a similar pattern, with significant differences between test and control apparent at 7 days (substance P p=0.0015; cathepsin G p=0.029; IL-1&beta p=0.026; elastase p=0.0129) and peaking at day 21 (substance P p=0.0023; cathepsin G, IL-1&beta and elastase all p<0.0001). Levels of &alpha1AT showed no apparent pattern over the course of the study. Conclusion: GCF levels of substance P, cathepsin G, IL-1&beta and neutrophil elastase have the potential to act as early markers of experimentally-induced gingival inflammation.

An Experimental Investigation into the Pressure Drop for Turbulent 90o Elbow Bends

The prediction of the pressure drop for turbulent single-phase fluid flow around sharp 90° bends is difficult owing to the complexity of the flow arising from frictional and separation effects. Several empirical equations exist, which accurately predict the pressure loss due to frictional effects. More recently, Crawford et al. [1] proposed an equation for the prediction of pressure loss due to separation of the flow. This work proposes a new composite equation for the prediction of pressure drop due to separation of the flow, which incorporates bends with ratio R/r <2. A new composite equation is proposed to predict pressure losses over the Reynolds number range 4 x 103-3 x 105. The predictions from the new equation are within a range of -4 to +6 per cent of existing experimental data.

Kinetics of phase transformations in a model with metastable fluid-fluid separation: A molecular dynamics study

By molecular dynamics (MD) simulations we study the crystallization process in a model system whose particles interact by a spherical pair potential with a narrow and deep attractive well adjacent to a hard repulsive core. The phase diagram of the model displays a solid-fluid equilibrium, with a metastable fluid-fluid separation. Our computations are restricted to fairly small systems (from 2592 to 10368 particles) and cover long simulation times, with constant energy trajectories extending up to 76x10(6) MD steps. By progressively reducing the system temperature below the solid-fluid line, we first observe the metastable fluid-fluid separation, occurring readily and almost reversibly upon crossing the corresponding line in the phase diagram. The nucleation of the crystal phase takes place when the system is in the two-fluid metastable region. Analysis of the temperature dependence of the nucleation time allows us to estimate directly the nucleation free energy barrier. The results are compared with the predictions of classical nucleation theory. The critical nucleus is identified, and its structure is found to be predominantly fcc. Following nucleation, the solid phase grows steadily across the system, incorporating a large number of localized and extended defects. We discuss the relaxation processes taking place both during and after the crystallization stage. The relevance of our simulation for the kinetics of protein crystallization under normal experimental conditions is discussed. (C) 2002 American Institute of Physics.

Ion Association in [bmim][PF6]/Naphthalene Mixtures: An Experimental and Computational Study

Mixtures of room temperature ionic liquids (IL) with neutral organic molecules provide a valuable testing ground to investigate the interplay of the ionic and molecular-dipolar state in dense Coulomb systems at near ambient conditions. In the present study, the viscosity eta and the ionic conductivity a of 1-n-butyl-3-methylimidazolium hexafluorophosphate ([bmim][PF6])/naphthalene mixtures at T = 80 degrees C have been measured at 10 stoichiometries spanning the composition range from pure naphthalene to pure [bmim][PF6]. The viscosity grows nearly monotonically with increasing IL mole fraction (x), whereas the conductivity per ion displays a clear peak at x approximate to 15%. The origin of this maximum has been investigated using molecular dynamics simulations based on a classical force field. Snapshots of the simulated samples show that the conductivity maximum is due to the gradual transition in the IL component from an ionic state at high x to a dipolar fluid made of neutral ion pairs at low x. At concentrations x <0.20 the ion pairs condense into molecular-thin filaments bound by dipolar forces and extending in between nanometric droplets of IL. These results are confirmed and complemented by the computation of dynamic and transport properties in [bmim][PF6]/naphthalene mixtures at low IL concentration.