Abstract
turbances (the problem of the correctness of the Cauchy problem for equations of two-phase media) is examined. We show that a consideration of the effect of particle (bubble) diffusion caused by relative motion of the phases is of fundamental importance. The pressure in the disperse phase is a subsidiary factor. The critical stability loss curve is obtained. The problem of stability of two-phase media has been examined in many papers [i-5]. Existing theories predict a short-wave instability of sedimenting suspensions, fluidized beds, and layers of liquid with bubbles. This instability should lead to the rapid appearance of inhomogeneities within the medium and to the practical unattainability of the homogeneous state. Contradictory to theory, however, manifestly stable states are obtained in experiments [4]. Stability of a liquid with bubbles has been obtained only in [6, 7]. In [6] stability was secured by the action of electrical forces. In the problem of thermocapillary motion in a gas--liquld mixture stability in the short-wave region is obtained by bubble diffusion [7], i. Equations and Method of Solution The equations for the change of momentum and conservation of mass of a two-phase medium have the form [i]
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