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Superficial velocity (or superficial flow velocity), in engineering of multiphase flows and flows in porous media, is a hypothetical (artificial) flow velocity calculated as if the given phase or fluid were the only one flowing or present in a given cross sectional area. Other phases, particles, the skeleton of the porous medium, etc. present ...
is the superficial velocity (i.e. the velocity that the fluid would have through the empty tube at the same volumetric flow rate), is the void fraction of the bed, and; is the particle Reynolds Number (based on superficial velocity [1])..
Different modes of two-phase flows. In fluid mechanics, two-phase flow is a flow of gas and liquid — a particular example of multiphase flow.Two-phase flow can occur in various forms, such as flows transitioning from pure liquid to vapor as a result of external heating, separated flows, and dispersed two-phase flows where one phase is present in the form of particles, droplets, or bubbles in ...
The volumetric flux through a porous medium is called superficial velocity and it is often modelled using Darcy's law. Volumetric flux is not to be confused with volumetric flow rate, which is the volume of fluid that passes through a given surface per unit of time (as opposed to a unit surface).
Superficial velocity = = = Where = superficial velocity of gas phase (m/s), = velocity of liquid phase and = velocity of solid phase. Superficial velocity is a hypothetical velocity wherein the assumption is that one phase occupies the entire cross sectional area.
Darcy's law is an equation that describes the flow of a fluid through a porous medium and through a Hele-Shaw cell.The law was formulated by Henry Darcy based on results of experiments [1] on the flow of water through beds of sand, forming the basis of hydrogeology, a branch of earth sciences.
The movement of a fluid through porous media is described by the combination of Darcy's law with the principle of conservation of mass in order to express the capillary force or fluid velocity as a function of various other parameters including the effective pore radius, liquid viscosity or permeability. [3]
where = / has units of velocity and is called the Darcy velocity (or the specific discharge, filtration velocity, or superficial velocity). The pore or interstitial velocity v p x {\displaystyle v_{px}} is the average velocity of fluid molecules in the pores; it is related to the Darcy velocity and the porosity n {\displaystyle n} through the ...