This lecture will outline the developments over the past two years of Todd Dupont and the author on problems of flow of fluids in porous media arising from petroleum reservoir engineering. Two specific problems will be discussed and a third mentioned. The first is the single-phase flow of a non-ideal gas. This flow can be described by a nonlinear parabolic equation. The second is the two-phase ...

Ahatract-An analysis is made of the boundary layer flow of Reiner-Philippoff fluids. This work is an extension of a previous analysis by Hansen and Na [A. G. Hansen and T. Y. Na, Similarity solutions of laminar, incompressible boundary layer equations of non-Newtonian fluids. ASME 67-WA/FE-2 presented at the ASME Winter Annual Meeting, November (1967)], where the existence of similar solutions ...

This paper deals with a mathematical modeling of flow stability Newtonian and non-Newtonian fluids in the gap between two concentric cylinders, one which rotates. A typical feature is formation vortex flow, so-called Taylor vortices. Vortex structures are affected by speed rotating cylinder physical properties fluids, i.e., viscosity density. Analogy terms assumed for magnetorheological fluids....

the effect of weak shear thickening and shear thinning on the stability of the taylor-couette flow is explored for a carreau-bird fluid in the narrow-gap limit. the galerkin projection method is used to derive a low-order dynamical system from the conservation of mass and momentum equations. in comparison with the newtonian system, the present equations include additional nonlinear coupling in ...

Due to long-range correlations and slow dynamics of concentration fluctuations in the vicinity of the gas-liquid critical point, shear flow is very effective in distorting the microstructure of near-critical fluids. The anisotropic nature of the shear-field renders the microstructure highly anisotropic, leading to dichroism. Experiments on the dichroic behavior can thus be used to test theoreti...

The aim of this article is to model the synovial fluid flow under specific conditions where it can be described as an incompressible viscous non-Newtonian fluid. We propose two different models for viscosity to capture the shear-thinning property and the viscosity dependence on the concentration of the hyaluronan present in the synovial fluid. First we determine the unknown material parameters ...

Understanding and engineering the flow-response of complex and non-Newtonian fluids at a molecular level is a key challenge for their practical utilisation. Here we demonstrate the coupling of microfluidics with small angle neutron scattering (SANS). Microdevices with high neutron transmission (up to 98%), low scattering background (≲10⁻² cm⁻¹), broad solvent compatibility and high pressure tol...

We probe the response of viscous and viscoelastic fluids on micrometer and microsecond length and time scales using two optically trapped beads. In this way we resolve the flow field, which exhibits clear effects of fluid inertia. Specifically, we resolve the short-time vortex flow and the corresponding evolution of this vortex, which propagates diffusively for simple liquids. For viscoelastic ...

Enabling fluids to be manipulated on the micron-scale, microfluidic technologies have facilitated major advances in how we study cells. In this review, we highlight key developments in how flow in microfluidic devices is exploited to investigate the behavior of individual cells, from trapping and positioning single cells to probing cell deformability. Exploiting the properties of fluids and flo...