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The current theory predicts failure by mean of a dimensionnless ratio: the ∏_Vdimensionless ∏ ratio which is explained on this page: https://confluence.cornell.edu/download/attachments/87983632/WikiAppendix-Definitions_Equations_somevalues.pdf?version=1. When this ratio is less than one, then the turbidity should be above 0.25 NTU and this means that the spacing for a given flow rate is going to be above the maximum allowed turbidity.
Our firsts experimental results showed that this ratio is able to predict that the effluent turbidity will be above 0.25 NTU. But it is unable to predict the magnitude of the failure.
The PSS team therefore concluded that it needed to develop a numerical simulation taking more phenomenon into account in order to be able to better understand the failure mechanisms and maybe be able to assess the effluent turbidity.
Comments about how the code works
The code works on a Velocity-Verlet algorithm which computes all particles paths based on their experienced local velocities. The code takes particles sizes and the tube (or plate) geometry as well as the up flow velocity as an input. The figure below summarizes the steps taken by the algorithm.
Attachments
trajectory9.m ||The main file. Contains the input parameters as well as the velocity-Verlet algorithm
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