Abstract
Self-similar solutions of a nonlinear differential equation obtained by generalizing the relation employed in hydraulics to model the resistances in open channel flow were studied. The resulting model encompassed various particular cases in diverse physical phenomena, such as gravity currents, creeping flows of Newtonian and non-Newtonian fluids and nonlinear Fokker-Planck equations. Solutions of both source-type and dam-break problems were also studied. Closed-form solutions were discussed along with a qualitative study of two phase-plane formulations based on two different variable transformations.
Original language | English (US) |
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Article number | 056303 |
Pages (from-to) | 056303-1-056303-8 |
Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
Volume | 70 |
Issue number | 5 2 |
DOIs | |
State | Published - Nov 2004 |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability