Continuity and momentum equations govern the pore-scale flow properties of fluid in porous media, whereas Darcy’s law governs Darcy scale transport media. The empirical shift factor relates steady shear-dependent viscosity non-Newtonian fluids to reported values cover three orders magnitude depending on considered fluid-medium configurations. This creates a challenge upscale rheology from scale...

In this paper, an asymptotic expansion is used to derive a description of Phan-Tien Tanner / Oldroyd-B flows in the thin film situation without the classical “Upper Convective Maxwell” assumption. We begin with a short presentation of the Phan-Thien Tanner / Oldroyd-B models which introduce viscoelastic effects in a solute-solvant mixture. The three dimensional flow is described using five para...

This article addresses the issue of reproducing quantitative pressure-drop predictions for constant shear-viscosity fluids in contraction and contraction/expansion flow geometries. Experimental observations on pressure-drop for severe strain-hardening Boger fluids reveal significant enhancement above Newtonian fluids in axisymmetric but not planar configurations. This discrepancy has eluded pre...

The flow of viscoelastic fluids between parallel plates under the combined influence of electro-osmotic and pressure gradient forcings with asymmetric boundary conditions, by considering different zeta potentials at the walls, is investigated. The fluids are z–z symmetric electrolytes. The analytic solutions of the electrical potential, velocity distributions and streaming potential are based o...

The fully-developed thermal and hydrodynamic steady laminar pipe flow of the SPTT fluid is here investigated for the constant wall temperature boundary condition, assuming constant properties and negligible axial conduction. Two limiting conditions were identified: the solution pertaining to the equilibrium between axial convection and radial conduction of thermal energy, and the solution of th...