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 |
|---|---|
| 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