Two-phase Laminar Flow Research Articles

On plane, laminar two-phase jet flow

A plane, laminar two-phase jet flow is considered, where the two-phase medium in the jet consists of small spherical solid particles suspended in an incompressible carrier fluid The development of the jet flow is studied in the presence of a moving free stream, containing no particles and alined with the jet. Diffusion of particles as well as the effect of carrier- and particle-phase viscosity is taken into account. A perturbation analysis is performed based on small particle concentration and small velocity differences between jet- and free-stream speed. Accordingly, the derived linear equations are solved byLaplace transforms. Resutiing expressions for particle velocity profiles contain two parameters. One of these is the ratio of the carrierReynolds number and the particle velocity relaxation parameter, and the other is the ratio of the particle diffusion coefficient and the carrier fluid viscosity. It is shown that both parameters can have a profound influence on the solution.

Velocity distribution for isothermal two-phase co-current laminar flow in a horizontal rectangular duct

Velocity distribution for isothermal two-phase co-current laminar flow in a horizontal rectangular duct

A Laboratory Study of Laminar and Turbulent Flow in Heterogeneous Porosity Limestones

Published in Petroleum Transactions, AIME, Volume 213, 1958, pages 121–126. Abstract Reservoir performance predictions based on laboratory core test data assume that fluid flow is laminar for the laboratory test. A study has been made to determine the validity of this assumption for laboratory tests on various types of porosity found in producing limestone formations. Data are presented which show that turbulence and slippage can occur during laboratory tests on heterogeneous-type porosity limestones, thus causing serious errors in measured single-phase permeabilities and two-phase relative permeability characteristics. In single-phase flow tests it is possible to eliminate turbulence and correct for slippage or to eliminate both factors by controlling test conditions. It is not always possible to control test conditions and thereby eliminate turbulence and slippage in two-phase flow tests. A correction method is presented which can be used to calculate the true two-phase laminar flow relative permeability characteristic even though turbulence and slippage exist. Introduction It is customary to make use of Darcy's law and modifications of this law, together with laboratory data on formation core samples to predict the performance of producing reservoirs. Such predictions are based on an assumption that fluid flow is in the laminar or streamline region for the laboratory test. It was the purpose of this investigation to determine the extent to which turbulent flow may occur in laboratory fluid flow tests on heterogeneous porosity limestones. Considering that turbulent flow conditions might exist in some laboratory fluid flow tests, additional emphasis was placed on the development of a method to correct for turbulence when laminar flow conditions could not be attained. Fluid Flow Concepts for Porous Media The Influence of Pore Geometry on Fluid Flow One of the more important factors influencing fluid flow in porous media is the geometry of the pore space which includes such characteristics of the pores as size, shape, distribution, roughness, uniformity, etc. In general, oil- and gas-producing formations can be divided into two broad types on the basis of pore geometry.