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Expressions for pressure and velocity distributions in nonuniformly aerated grain bulks


Journal of Agricultural Engineering Research 22(1): 27-35
Expressions for pressure and velocity distributions in nonuniformly aerated grain bulks
Currently accepted methods for predicting air flow and pressure distributions in aerated grain stores have involved either electrical analogue techniques or finite difference solutions of Laplace's equation. When determining the air flow distribution in a circular silo, these methods may be experimentally or computationally cumbersome. In this work explicit analytic expressions are presented for pressure and flow distributions in aerated grain silos and sheds fitted with circular and linear aeration ducts respectively placed symmetrically about the center. A finite difference solution of Laplace's equation which exploits the banded form of the coefficient matrix is also presented. In this way a direct, as opposed to iterative, solution is possible which yields very large savings in computing time. Strictly, the analytic expressions apply to grain bulks of infinite height but it is shown by comparison with the finite difference solution of Laplace's equation, that they are accurate for grain stores of aspect ratio 2 or greater. A notable feature of the expressions is that they enable the pressure and velocity distributions to be determined very easily and this represents a significant improvement over previously published techniques.

Accession: 005432471

DOI: 10.1016/0021-8634(77)90090-7

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