Flow field and traverse times for fan forced injection of fumigant via circular or annular inlet into stored grain

Mat Isa, Zaiton, Fulford, Glenn, Kelson, Neil A., & Farrell, Troy W. (2016) Flow field and traverse times for fan forced injection of fumigant via circular or annular inlet into stored grain. Applied Mathematical Modelling, 40(15-16), pp. 7156-7163.

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Abstract

Fan forced injection of phosphine gas fumigant into stored grain is a common method to treat infestation by insects. For low injection velocities the transport of fumigant can be modelled as Darcy flow in a porous medium where the gas pressure satisfies Laplace's equation. Using this approach, a closed form series solution is derived for the pressure, velocity and streamlines in a cylindrically stored grain bed with either a circular or annular inlet, from which traverse times are numerically computed. A leading order closed form expression for the traverse time is also obtained and found to be reasonable for inlet configurations close to the central axis of the grain storage. Results are interpreted for the case of a representative 6m high farm wheat store, where the time to advect the phosphine to almost the entire grain bed is found to be approximately one hour.

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ID Code: 93383
Item Type: Journal Article
Refereed: Yes
Additional URLs:
Keywords: porous medium, Laplace equation, Darcy's law, traverse time, advection, fumigation
DOI: 10.1016/j.apm.2016.03.008
ISSN: 0307-904X
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Applied Mathematics not elsewhere classified (010299)
Australian and New Zealand Standard Research Classification > PHYSICAL SCIENCES (020000) > CLASSICAL PHYSICS (020300) > Fluid Physics (020303)
Divisions: Current > QUT Faculties and Divisions > Division of Technology, Information and Learning Support
Current > Research Centres > High Performance Computing and Research Support
Current > Institutes > Institute of Health and Biomedical Innovation
Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2016 Elsevier
Deposited On: 08 Mar 2016 00:29
Last Modified: 15 Aug 2016 15:11

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