Polymer Fluid Dynamics: Continuum and Molecular Appoaches

To solve problems in polymer fluid dynamics, one needs the equation of continuity, motion, and energy. The last two equations contain the stress tensor and the heat-flux vector for the material. There are two ways to formulate the stress tensor: (1) one can write a continuum expression for the stress tensor in terms of kinematic tensors, or (2) one can select a molecular model that represents the polymer molecule, and then develop an expression for the stress tensor from kinetic theory. The advantage of the kinetic theory approach is that one gets information about the relation between the molecular structure of the polymers and the rheological properties. In this review, we restrict the discussion primarily to the simplest stress tensor expressions or “constitutive equations” containing from two to four adjustable parameters, although we do indicate how these formulations may be extended to give more complicated expressions. We also explore how these simplest expressions are recovered as special cases of a more general framework, the Oldroyd 8-constant model. The virtue of studying the simplest models is that we can discover some general notions as to which types of empiricisms or which types of molecular models seem to be worth investigating further. We also explore equivalences between continuum and molecular approaches. We restrict the discussion to several types of simple flows, such as shearing flows and extensional flows. These are the flows that are of greatest importance in industrial operations. Furthermore, if these simple flows cannot be well described by continuum or molecular models, then it is not necessary to lavish time and energy to apply them to more complex flow problems.

Thirty minutes of handgrip exercise enhances brachial artery flow-mediated dilation in response to two different shear stress profiles.

The walls of blood vessels are lined with a single-cell layer of endothelial cells. As blood flows through the arteries, a frictional force known as shear stress is sensed by mechanosensitive structures on the endothelium. Short and long term changes in shear stress can have a significant influence on the regulation of endothelial function. Acutely, shear stress triggers a pathway that culminates in the release of vasodilatory molecules from the endothelium and subsequent vasodilation of the artery. This endothelial response is known as flow mediated dilation (FMD). FMD is used as an index of endothelial function and is commonly assessed using reactive hyperemia (RH)-FMD, a method which elicits a large, short lived increase in shear stress following the release of a brief (5 min) forearm occlusion. A recent study found that a short term exposure (30 min) to a sustained elevation in shear stress potentiates subsequent RH-FMD. FMD can also result from a more prolonged, sustained increase in shear stress elicited by handgrip exercise (HGEX-FMD). There is evidence to suggest that interventions and conditions impact FMD resulting from sustained and transient shear stress stimuli differently, indicating that HGEX-FMD and RH-FMD provide different information about endothelial function. It is unknown whether HGEX-FMD is improved by short term exposure to shear stress. Understanding how exercise induced FMD is regulated is important because it contributes to blood flow responses during exercise. The study purpose was therefore to assess the impact of a handgrip exercise (intervention) induced sustained elevation in shear stress on subsequent brachial artery (BA) HGEX-FMD. Twenty healthy male participants (22±3yrs) preformed a 30-minute HGEX intervention on two experimental days. BA-FMD was assessed using either an RH or HGEX shear stress stimulus at 3 time points: pre-intervention, 10 min post and 60 min post. FMD and shear stress magnitude were determined via ultrasound. Both HGEX and RH-FMD increased significantly from pre-intervention to 10 min-post (p<0.01). These findings indicate that FMD stimulated by exercise induced increases in shear stress is potentiated by short term shear stress exposure. These findings advance our understanding regarding the regulation of endothelial function by shear stress.

Development of An Enhanced Oil Sands Fluid Tailings Generation Model

Bitumen extraction from surface-mined oil sands results in the production of large volumes of Fluid Fine Tailings (FFT). Through Directive 085, the Province of Alberta has signaled that oil sands operators must improve and accelerate the methods by which they deal with FFT production, storage and treatment. This thesis aims to develop an enhanced method to forecast FFT production based on specific ore characteristics. A mass relationship and mathematical model to modify the Forecasting Tailings Model (FTM) by using fines and clay boundaries, as the two main indicators in FFT accumulation, has been developed. The modified FTM has been applied on representative block model data from an operating oil sands mining venture. An attempt has been made to identify order-of-magnitude associated tailings treatment costs, and to improve financial performance by not processing materials that have ultimate ore processing and tailings storage and treatment costs in excess of the value of bitumen they produce. The results on the real case study show that there is a 53% reduction in total tailings accumulations over the mine life by selectively processing only lower tailings generating materials through eliminating 15% of total mined ore materials with higher potential of fluid fines inventory. This significant result will assess the impact of Directive 082 on mining project economic and environmental performance towards the sustainable development of mining projects.

SIGNIFICANCE OF HEAT DISSIPATION IN THE CATHODE CATALYST LAYER ON THE LIFETIME AND RELIABILITY OF POLYMER ELECTROLYTE FUEL CELLS

To study the dissipation of heat generated due to the formation of pinholes that cause local hotspots in the catalyst layer of the Polymer Electrolyte Fuel Cell, a two-phase non-isothermal model has been developed by coupling Darcy’s law with heat transport. The domain under consideration is a section of the membrane electrode assembly with a half-channel and a half-rib. Five potential locations where a pinhole might form were analyzed: at the midplane of the channel, midway between the channel midplane and the channel wall, at the channel or rib wall, midway between the rib midplane and the channel wall, at the midplane of the rib. In the first part of this work, a preliminary thermal model was developed. The model was then refined to account for the two-phase effects. A sensitivity study was done to evaluate the effect of the following properties on the maximum temperature in the domain: Catalyst layer thermal conductivity, the Microporous layer thermal conductivity, the anisotropy factor of the Catalyst layer thermal conductivity, the Porous transport layer porosity, the liquid water distribution and the thickness of the membrane and porous layers. Accounting for the two-phase effects, a slight cooling effect was observed across all hotspot locations. The thermal properties of the catalyst layer were shown to have a limited impact on the maximum temperature in the catalyst layer of new fuel cells without pinhole. However, as hotspots start to appear, thermal properties play a more significant role in mitigating the thermal runaway.