%0 Journal Article
%T Analysis of Simultaneous Gas-Liquid Flow Through an Orifice and Its Application to Flow Metering Etude de l'¨¦coulement simultan¨¦ d'un m¨¦lange gaz-liquide ¨¤ travers un orifice et son application ¨¤ la mesure du d¨¦bit
%A Pascal H.
%J Oil & Gas Science and Technology
%D 2006
%I Institut Fran?ais du P¨¦trole
%R 10.2516/ogst:1978028
%X The purpose of this article is to show a more accurate orifice equation for a two-phase flow, such a compressible mixture of gas and liquid. The orifice equation given here con be used for the measurement of a gas-liquid mixture of fine emulsions by the orificemeter method. From the thermodynamic point of view, an equation of state has been formulated which provides the relationship between the specific mass of the mixture and pressure, under conditions of adiabatic expansion. The results obtained enable the mass flow rates of gas and liquid ta be determined without separation of the phases, provided thot the gas liquid mass ratio is known. The critical pressure ratio corresponding ta sonic velocity is also determined. Cet article pr¨¦sente une relation plus pr¨¦cise pour l'¨¦coulement d'un syst¨¨me ¨¤ deux phases, tel qu'un m¨¦lange compressible gaz-liquide, ¨¤ travers un diaphragme. Cette relation peut ¨ºtre utilis¨¦e pour des mesures de m¨¦langes gaz-liquide tr¨¨s finement divis¨¦s, c'est-¨¤-dire des ¨¦mulsions ou brouillards, par la m¨¦thode du diaphragme en paroi mince. Du point de vue thermodynamique, on a formul¨¦ une ¨¦quation d'¨¦tat donnant la relation entre la masse sp¨¦cifique du m¨¦lange et la pression dans des conditions d'expansion adiabatique. Les r¨¦sultats obtenus per-mettent de d¨¦terminer le d¨¦bit massique du gaz et du liquide, sans s¨¦paration des deux phases, ¨¤ condition que le rapport de masse gaz-liquide soit connu. On d¨¦termine ¨¦galement le rapport de pression critique correspondant¨¤ la vitesse du son.
%U http://dx.doi.org/10.2516/ogst:1978028