A new variational approach to gas flow in a rotating system
| Autor: | Richard J. Babarsky, Houston G. Wood, Ira W. Herbst |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Fluid Flow and Transfer Processes
Flow visualization Physics Centrifuge Partial differential equation business.industry Mechanical Engineering Mass flow Computational Mechanics Mechanics Computational fluid dynamics Vorticity Condensed Matter Physics Classical mechanics Flow (mathematics) Mechanics of Materials Fluid dynamics business |
| Zdroj: | Physics of Fluids. 14:3624-3640 |
| ISSN: | 1089-7666 1070-6631 |
| DOI: | 10.1063/1.1504451 |
| Popis: | Onsager’s classic treatment of axisymmetric, stationary flow in a rapidly rotating centrifuge is based on the theorem of minimum entropy production. For the case of end-driven flows, this approach yields a sixth-order, self-adjoint equation (the “pancake” equation) for a master potential, χ, whose second-order radial derivative is equivalent to axial mass flow. This formulation allows for a straightforward application of mass flow conditions on the axial boundaries, and χ provides a theoretical foundation for describing axial mass-driven flow in a centrifuge. Alternatively, several authors have described axisymmetric flow in a centrifuge by a sixth-order partial differential equation for temperature. So far, however, there has been no established theoretical connection between Onsager’s minimum principle and the thermal problem. This topic is considered in this paper and the corresponding derivation also results in a self-adjoint problem, in this case in terms of a temperature potential, Φ. Moreover, it m... |
| Databáze: | OpenAIRE |
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