Author(s)

M.F. Goz, B.J. Glasser, Y.G. Kevrekidis & S. Sundaresan

Abstract

Equations of motion based on the theory of interacting and interpenetrating continua are used to study pattern forming instabilities in two-dimensional dispersed two-phase flows such as a suspension of particles in a fluidized bed and a bubbly gas-liquid flow. By making use of analytical and numer- ical bifurcation techniques it is shown that the main instability sequence in a vertically suspended configuration consists of the transition from a homogeneous flow through a one-dimensional concentration wave train to a two-dimensional traveling wave. 1 Introduction We consider particle suspensions in a fluidized bed which may be described by two interacting and interpenetrating Newtonian continua*. Such flows have a wide variety of applications in industry but are still poorly under- stood despite a gre

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