A theory for pressures in cylindrical silos under concentric mixed flow
| Autor: | J. Michael Rotter, Adam J. Sadowski, Jørgen Nielsen |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
General Chemical Engineering
0904 Chemical Engineering Internal hopper 02 engineering and technology Concentric Granular solids Industrial and Manufacturing Engineering 020401 chemical engineering Silo Discharge overpressures 0204 chemical engineering Concentric mixed flow Parametric statistics Physics Series (mathematics) Internal flow Applied Mathematics Silo pressures 0914 Resources Engineering and Extractive Metallurgy Conical surface Mechanics General Chemistry Chemical Engineering 021001 nanoscience & nanotechnology Straight-sided channels Overpressure 0210 nano-technology Communication channel 0913 Mechanical Engineering |
| Zdroj: | Sadowski, A J, Rotter, J M & Nielsen, J 2021, ' A theory for pressures in cylindrical silos under concentric mixed flow ', Chemical Engineering Science, vol. 230, no. 2 February, 116094 . https://doi.org/10.1016/j.ces.2020.116094 Sadowski, A J, Michael Rotter, J & Nielsen, J 2020, ' A theory for pressures in cylindrical silos under concentric mixed flow ', Chemical Engineering Science, vol. 223, 115748 . https://doi.org/10.1016/j.ces.2020.115748 |
| Popis: | This paper presents a theory for the prediction of pressures in circular silos under concentric mixed flow, assuming an internal flow channel of conical profile with straight but inclined sides. The theory is based on a generalised application of the classical method of ‘slice equilibrium’ together with additional assumptions based on a treatment of the granular solid as a Coulombic material. Only one of the resulting pair of coupled linear ordinary differential equations may be solved in closed form, while both numerical and approximate closed-form solutions are explored for the other. The derivation of the theory is presented in full and a series of parametric studies explores the predictions and compares these with qualitative observations from experiments. In particular, the significant overpressure that is known to occur at the ‘effective transition’, where the internal flow channel intersects with the silo wall, may be estimated quantitatively for the first time. This paper presents a theory for the prediction of pressures in circular silos under concentric mixed flow, assuming an internal flow channel of conical profile with straight but inclined sides. The theory is based on a generalised application of the classical method of ‘slice equilibrium’ together with additional assumptions based on a treatment of the granular solid as a Coulombic material. Only one of the resulting pair of coupled linear ordinary differential equations may be solved in closed form, while both numerical and approximate closed-form solutions are explored for the other. The derivation of the theory is presented in full and a series of parametric studies explores the predictions and compares these with qualitative observations from experiments. In particular, the significant overpressure that is known to occur at the ‘effective transition’, where the internal flow channel intersects with the silo wall, may be estimated quantitatively for the first time. |
| Databáze: | OpenAIRE |
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