In this paper we introduce a particular class of nonsimple fluids of second order. Within the general framework of virtual powers, we deduce the dynamical equation for linear isotropic incompressible fluids. Afterwards, existence and uniqueness results are obtained for both the stationary flow and the evolutionary one, with non homogeneous boundary conditions. Mathematics Subject Classification...

Purpose: In this study, flow rates of intraosseously (IO) or intravenously (IV) administered fluids (blood or Ringer lactate) and their effects on vital signs were examined in a rabbit model of hypovolemia. Methods: Underanesthesia, 20 mL of blood was removed from each of the 36 New Zealand-type rabbits. Ten minutes later, each group of nine rabbits received one of four fluids by gravity flow f...

We simulate flow movement in an hourglass occupied by two fluids with surface tension on the interface and compare the difference of movements of fluids between the non-slip and slip boundary conditions and small and large coefficients of surface tension. The simulation is carried out by an energy-stable finite element scheme developed recently by ourself.

Molecular dynamics simulations of dense and rarefied fluids comprising small chain molecules in chemically patterned nanochannels predict a novel switching from Poiseuille to plug flow along the channel. We also demonstrate behavior akin to the lotus effect for a nanodrop on a chemically patterned substrate. Our results show that one can control and exploit the behavior of fluids at the nanosca...

Network modeling is used to study the flow in porous media of Ellis and Herschel–Bulkley fluids, which model a large group of time-independent non-Newtonian fluids. Previous work is extended to include yield-stress and shear-thickening phenomena. We use two topologically-disordered networks representing a sand pack and Berea sandstone. Analytical expressions for the volumetric flow rate in a si...

Microfluidic devices are ideally suited for the study of complex fluids undergoing large deformation rates in the absence of inertial complications. In particular, a microfluidic contraction geometry can be utilized to characterize the material response of complex fluids in an extensionally-dominated flow, but the mixed nature of the flow kinematics makes quantitative measurements of material f...

Numerical simulation was performed to analyze flow field and heat transfer developed inside a deep-channel, single-screw cheese stretcher channel. Modifications to the traditional flat-plate model of single-screw extruder geometry were applied to address flight effects and channel curvature effects. The finite difference and finite element methods were used to obtain numerical solutions to the ...

The interface of two immiscible fluids flowing in porous media may behave in an unstable fashion. This instability is governed by the pore distribution, differential viscosity and interface tension between the two immiscible fluids. This study investigates the factors that control the interface instability at the wetting front. The development of the flow equation is based on the mass balance p...

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...

Flow properties of complex fluids such as colloidal suspensions, polymer solutions, fiber suspensions and blood have a vital function in many technological applications and biological systems. Yet, the basic knowledge on their properties is inadequate for many practical purposes. One important reason for this has been the lack of effective experimental methods that would allow detailed study of...