Waves of high frequency in suspensions near the critical point of the particulate pressure-density dependence
Tóm tắt
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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Tài liệu tham khảo
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