Stemming from MEMS (MicroElectroMechanical System) developments, designs and fabrication technology, packaged microfluidic chips – used first for biological and chemical analysis (μTAS, Micro Total Analysis Systems) – were modified to perform chemical syntheses (1). In addition, chip devices for the mixing of miscible or immiscible fluids offered a novel means for the processing of this unit op...

This paper presents a Buckley-Leverett analytical solution for non-Darcy displacement of two immiscible fluids in porous media. The multiphase non-Darcy displacement is described using a Forchheimer equation or other non-Darcy flow correlations under multiphase flow conditions. The analytical solution is used to obtain some insight into the physics of displacement involving non-Darcy flow effec...

Multigrid methods are described for solving the pressure equation arising from a finite element discretization of the equations modeling the flow of two immiscible and in-compressible fluids in a heterogeneous porous medium. Comparisons are made between the performance of these methods and a preconditioned conjugate gradient algorithm by solving some two dimensional five spot problems on both h...

It is of great significance to investigate the rising behavior a bubble in immiscible fluids chemical and metallurgical engineering. A 3-D model established free-floating single (water-heavier liquid biodiesel-lighter liquid) numerically simulated by phase-field method. After fluctuation certain distance, tends be stable. takes more time for larger reach stable shape than smaller one. The termi...