It has been shown that the equations of motion and continuity for the particles in a fluidized bed can be related to those of a compressible fluid acted upon by a density-dependent force. In the previous work on the compressible flow equations, the solution structure of fully developed plane (one-dimensional) waves was computed. It was shown that the plane waves can lose stability in the lateral direction. In this work we study the two-dimensional solutions which reveal that bubble-like solutions can evolve both from the plane waves as well as from the uniform state. A representative value of the lateral wavenumber is chosen and the global bifurcation diagram is explored, which consists of a number of distinct one- and two-dimensional branches. The existence of mixed mode and double humped solutions is demonstrated and transient simulations are used to examine the mechanism of density wave development and coalescence.
All Science Journal Classification (ASJC) codes
- Chemical Engineering(all)
- Computer Science Applications
- Bifurcation analysis
- Compressible flows
- Fluidized beds