Abstract
The paper considers theoretically the propagation of weakly nonlinear high-frequency waves in homogeneous gas-solid suspensions. The governing equations include the equation of particle conservation and the equation of mean motion of the particles. These equations are supplemented by a barotropic dependence of the particulate pressure on the particle volume fraction which has a point of maximum (critical point) separating the regions of increase and decrease of the particulate pressure. Under condition that the particulate gas viscosity is negligible, the conservation laws represent a system of mixed hyperbolic-elliptic type. It is shown that a uniformly fluidized bed operated at the critical concentration is unstable with respect to high-frequency sinusoidal oscillations.
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Vainshtein, P., Shapiro, M. & Gutfinger, C. Waves of high frequency in suspensions near the critical point of the particulate pressure-density dependence. Journal of Engineering Mathematics 38, 265–278 (2000). https://doi.org/10.1023/A:1004773300599
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DOI: https://doi.org/10.1023/A:1004773300599