## 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 conditi on 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.

Original language | English |
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Pages (from-to) | 265-278 |

Number of pages | 14 |

Journal | Journal of Engineering Mathematics |

Volume | 38 |

Issue number | 3 |

DOIs | |

State | Published - Oct 2000 |

Externally published | Yes |

## Keywords

- Critical point
- Equations of mixed type
- High frequency
- Particulate pressure
- Suspensions
- Waves