Microfluidic devices could find applications in many areas, such as BioMEMs, miniature fuel cells and microfluidic cooling of electronic circuitry. One of the important considerations of microfluidic device in analytical and bioanalytical chemistry is the dispersion of solute. In this study, we have developed an analytical solution, which considers the axial dispersion of a solute along the flow direction, to simulate convection and diffusion transport in a pressure driven creeping flow for a rectangular shape slit. During flow, the balance of competing effects of diffusion (especially cross-section diffusion) and convective diffusion in the flow direction are investigated. / Singapore-MIT Alliance (SMA)

Electroosmotic flow is a convenient mechanism for transporting polar fluid in a microfluidic device. The flow is generated through the application of an external electric field that acts on the free charges that exists in a thin Debye layer at the channel walls. The charge on the wall is due to the chemistry of the solid-fluid interface, and it can vary along the channel, e.g. due to modification of the wall. This investigation focuses on the simulation of the electroosmotic flow (EOF) profile in a cylindrical microchannel with step change in zeta potential. The modified Navier-Stoke equation governing the velocity field and a non-linear two-dimensional Poisson-Boltzmann equation governing the electrical double-layer (EDL) field distribution are solved numerically using finite control-volume method. Continuities of flow rate and electric current are enforced resulting in a non-uniform electrical field and pressure gradient distribution along the channel. The resulting parabolic velocity distribution at the junction of the step change in zeta potential, which is more typical of a pressure-driven velocity flow profile, is obtained. / Singapore-MIT Alliance (SMA)

For the past two decades, flow cytometry has been widely used as a powerful analysis tool for the diagnosis of many diseases due to its ability to count, characterize and sort cells. However, conventional flow cytometers are often bulky, expensive and complicated because sophisticated fluidic, electronic and optical systems are required to realize the functions of flow cytometry. The high cost and the complexity in operation and maintenance associated with flow cytometers as well as the large size have limited its use. In recent years, the rapid development of microfluidics-based lab-on-a-chip technology has created a new pathway for flow cytometry. Microfluidic devices allow for the integration of multiple liquid handling processes required in the diagnostic assays, such as pumping, metering, sampling, dispensing, sequential loading and washing. These lab-on-a-chip solutions have been recognized as an opportunity to bring portable, accurate and sensitive diagnostic tests to the flow cytometry. However, most current microfluidic flow cytometry devices are micro- only in the microfluidic chip, the rest of most apparatuses are still large and costly, usually involving tubes, microscopes, lasers and mechanical pumps. Therefore, the objective of this study is to develop a novel lab-on-a-chip system based on the electrokinetically-induced pressure-driven flow and dual-wavelength fluorescent detection, which lights a promising pathway for making a real portable, compact, low-cost microfluidic flow cytometry device. In this study, the core of this microfluidic system is the custom-designed PDMS (polydimethylsiloxane) microchip. A novel method was applied to generate the electrokinetically-induced pressure-driven flow in a T-shaped microchannel using parameters settings that had been optimized by numerical study. This method combined both the electrokinetic pumping force and the pressure pumping force to eliminate their shortcomings associated with the use of each force alone. This is the fundamental of my study. By using this microchip, the size of the fluidic control subsystem is reduced significantly. Furthermore, the dual-wavelength fluorescent detection strategy is proposed in this thesis. On the optical detection side, excitation lights of two different wavelengths are provided by a single LED (light-emitting diode) from one side of the microchannel. Then the two emission lights are captured individually by two photo-detectors placed on the top and the bottom of the microchip. Compared with other microfluidic detection devices reported in the literatures that use lasers or PMTs (Photomultiplier tubes), this design allows for a significant reduction of 90% in the volume and cost. As another important part of my thesis research, a novel flow focusing method that allows the hydrodynamic focusing in a T-shaped microchannel with two sheath flows is developed. This method solves the biggest obstacle which exists in current microfluidic flow cytometry devices. In this method, no external pumps, valves and tubing are involved in the system. Although substantial progress has been made in current microfluidic flow cytometry, there is still a need for a low-cost, compact, portable microfluidic devices, especially in low-resource settings as well as the developing world for POC (point-of-care) diagnosis and analysis. This thesis work has made a great achievement towards the final goal.

This thesis is motivated by problems studied as part of the Diavik Waste Rock Pile Project. Located at the Diavik Diamond Mine in the Northwest Territories, with academic support from the University of Waterloo, the University of Alberta, and the University of British Columbia, this project focuses on constructing mine waste rock piles and studying their physical and chemical properties and the transport processes within them. One of the main reasons for this investigation is to determine the effect of environmental factors on acid mine drainage (AMD) due to sulfide oxidation and the potential environmental impact of AMD. This research is concerned with modeling pressure driven flow through waste rock piles. Unfortunately, because of the irregular shape of the piles, very little data for fluid flow about such an obstacle exists, and the numerical techniques available to work with this domain are limited. Since this restricts the study of the mathematics behind the flow, this thesis focuses on a cylindrical domain, since flow past a solid cylinder has been subjected to many years of study. The cylindrical domain also facilitates the implementation of a pseudo-spectral method. This thesis examines a pressure driven flow through a cylinder of variable permeability subject to turbulent forcing. An equation for the steady flow of an incompressible fluid through a variable permeability porous medium is derived based on Darcy's law, and a pseudo-spectral model is designed to solve the problem. An unsteady time-dependent model for a slightly compressible fluid is then presented, and the unsteady flow through a constant permeability cylinder is examined. The steady results are compared with a finite element model on a trapezoidal domain, which provides a better depiction of a waste rock pile cross section.

This thesis is motivated by problems studied as part of the Diavik Waste Rock Pile Project. Located at the Diavik Diamond Mine in the Northwest Territories, with academic support from the University of Waterloo, the University of Alberta, and the University of British Columbia, this project focuses on constructing mine waste rock piles and studying their physical and chemical properties and the transport processes within them. One of the main reasons for this investigation is to determine the effect of environmental factors on acid mine drainage (AMD) due to sulfide oxidation and the potential environmental impact of AMD. This research is concerned with modeling pressure driven flow through waste rock piles. Unfortunately, because of the irregular shape of the piles, very little data for fluid flow about such an obstacle exists, and the numerical techniques available to work with this domain are limited. Since this restricts the study of the mathematics behind the flow, this thesis focuses on a cylindrical domain, since flow past a solid cylinder has been subjected to many years of study. The cylindrical domain also facilitates the implementation of a pseudo-spectral method. This thesis examines a pressure driven flow through a cylinder of variable permeability subject to turbulent forcing. An equation for the steady flow of an incompressible fluid through a variable permeability porous medium is derived based on Darcy's law, and a pseudo-spectral model is designed to solve the problem. An unsteady time-dependent model for a slightly compressible fluid is then presented, and the unsteady flow through a constant permeability cylinder is examined. The steady results are compared with a finite element model on a trapezoidal domain, which provides a better depiction of a waste rock pile cross section.