A mathematical and numerical study of nonlinear waves arising in a one-dimensional model of a fluidized bed. Final report
In sections 2-4 the authors present the fundamental mathematical model and the important features they have discovered during the last three years. The model presented in section 2 is typical of the set of equations studied by researchers in the past. However, a novel approach is taken here by the introduction of a stream function for the total mass flux. This is done because the differences and similarities between the one-dimensional and two-dimensional models emerge very clearly in this setting. The mathematical model is a quasilinear hyperbolic-elliptic system of partial differential equations. In one dimension the hyperbolic and elliptic parts decouple and in two dimensions they do not. As shocks and free boundaries are expected to play an important part, the authors also develop the jump conditions for the model in section 2.
- Research Organization:
- West Virginia Univ., Morgantown, WV (United States). Dept. of Mathematics
- Sponsoring Organization:
- USDOE Office of Energy Research, Washington, DC (United States)
- DOE Contract Number:
- FG05-88ER25067
- OSTI ID:
- 527879
- Report Number(s):
- DOE/ER/25067-T1; ON: DE97009238; TRN: 97:005185
- Resource Relation:
- Other Information: PBD: 15 Feb 1995
- Country of Publication:
- United States
- Language:
- English
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