A Variable Density Single-Fluid Model for Two-Phase Flow With Particular Reference to Steam-Water Flow

TLDR

The study proposes a physical model for the bubble‑flow regime of liquid‑gas flow that aligns with key process features. The model treats the mixture as a bubble suspension with radial concentration gradients, maximum at the pipe center and vanishing at the wall, assumes equal gas and liquid velocities at each radial position, and defines flow parameters differently for circular pipes and flat‑plate configurations. The model demonstrates good agreement with the important features of the process. M.C.G.

Abstract

A physical model is proposed for the bubble-flow regime of liquid- gas flow which is in good agreement with the important features of the process. In this model it is conceived that the mixture flows as a suspension of bubbles in the liquid, where radial gradients exist in the concentration of bubbles. The bubble concentration is assumed maximum at the center of the pipe, decreasing monotonically in a radial direction, and vanishing at the pipe wall. An important concept introduced is that the gas and liquid have the same velocity at any radial position. The flow parameter assumes different forms for flow in circular pipes and for flow between two flat plates. (M.C.G.)