| Autor: |
Reeks, Michael W, McKee, Sean |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
ASME FED-Vol 121 Gas-Solid Flows 1991 J. T. Jurewicz, M, \N. Reeks, and M. Gautam Book No. G00609 - 1991 Editors: D.E. Stock, Y, Tsuji, J.T.Jurewicz, M, W Reeks, and M. Gautam Book No. G00609 - 1991 |
| Druh dokumentu: |
Working Paper |
| Popis: |
The principle of Random Galilean Transformation (RGT) Invariance is applied to the random motion of particles in a turbulent gas to construct a kinetic equation for the transport of the particle phase space probability where \mathbf{v} and \mathbf{x} are the velocity and position of a particle at time t. The essential problem is to find closed expressions for the phase space dispersion current \left\langle \boldsymbol{f}W\right\rangle , where \boldsymbol{f} is the fluctuating aerodynamic force at \mathbf{v} and \mathbf{x} at time t. The simplest form consistent with RGT invariance, the correct equation of state ancl form for the inter-phase momentum transfer tern is shown to be \left\langle \boldsymbol{f}W\right\rangle =-\left(\boldsymbol{\mu}\cdot\frac{\partial}{\partial\mathbf{v}}+\boldsymbol{\lambda}\cdot\frac{\partial}{\partial\mathbf{x}}\right)\left\langle W\right\rangle in which \text{\textbf{\ensuremath{\boldsymbol{\,\mu}}}\ensuremath{=<\boldsymbol{f}(t)\mathbf{v}(t)>}} and \boldsymbol{\lambda}=<\boldsymbol{f}(t)\boldsymbol{\mathbf{x}}(t)>.This approach to modeling gas-solid flows is currently being used to investigate the behavior of radioactive aerosols inside gas-cooled nuclear reactors.
Comment: 5 pages, ASME FED Gas Solid Flows, 1991 |
| Databáze: |
arXiv |
| Externí odkaz: |
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