A method of studying ball flow by ditigal computer
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Date
1967-02-16
Authors
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Journal ISSN
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Publisher
Australian Atomic Energy Commission
Abstract
Ball flow may be studied with the aid of a digital computer. The method consists of calculating elastic forces due to simple interactions and using these forces to track individual balls. Any shape of container may be simulated exactly, although protrusions into the container present difficulties, To date, only two-dimensional systems have been studied, but the method may be extended easily into three dimensions at a penalty of a tenfold increase in calculation timer This is caused by the extra dimension, the greater number of neighbours per ball and a more complete elastic analysis which must be applied in three dimensions
Since elastic forces are being studied, the vibrations due to these forces must be followed, For hard balls this may involve real time intervals of milliseconds which may take seconds to calculate on the IBM 7040 computer on site.
A circulation model may be easily set up by arranging for balls which have fallen out of the bottom of a container to
be replaced at the top of the array of balls.
The forces between balls and between a ball and the container wall are known at all times and may be given as output by
the machine. The position and velocity of all balls is also known, and from the ball positions the voidage may be calculated.
A model involving friction has been investigated in simple situations. The friction model allows balls in contact to move against each other for a limited distancer A force may be associated with the distance of slip and the force between the balls. The point of maximum slip corresponds to the point of limiting friction.
An estimate is given of the cost to perform simple experimenter
Description
Physical copy held by ANSTO Library at DDC: 621.4843/131(RSCA).
Keywords
Digital computers, Flow rate, Containers, Elasticity, General Circulation Models, Velocity, Friction
Citation
Bennett, N. W., (1967). A method of studying ball flow by digital computer. Paper presented to the Symposium on movement of granular material and structure, fluid flow and heat transfer in packed beds, February 16-17, 1967, programme and abstracts of papers. In Movement of granular material, and structure, fluid flow and heat transfer in packed beds : Programme and abstracts of papers (from the) symposium (held by the) Australian Atomic Energy Commission Research Establishment, at Lucas Heights, 16-17 February 1967. Lucas Heights, NSW : Australian Atomic Energy Commission.