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IMA Journal of Applied Mathematics Advance Access originally published online on August 23, 2006
IMA Journal of Applied Mathematics 2006 71(5):670-691; doi:10.1093/imamat/hxl016
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© The Author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Diffusion and convection of gaseous and fine particulate from a chimney

Cameron MacKay1, Sean McKee2 and Anthony J. Mulholland**,2

1 Unilever Research, Colworth House, Sharnbrook, Beds, UK, 2 Department of Mathematics, University of Strathclyde, Glasgow, UK

** Email: ajm{at}maths.strath.ac.uk

Particle dispersion from a high chimney is considered and an expression for the subsequent concentration of the particulate deposited on the ground is derived. We consider the general case wherein the effects of both diffusion and convection on the steady state ground concentration of particulate are incorporated. Two key parameters emerge from this analysis: the ratio of diffusion to convection and the nondimensionalised surface mass transfer rate. We also solve the inverse problem of recovering these two parameters given the boundary concentration profile and provide an estimate of the concentration flux above the chimney stack.

Keywords: diffusion–convection; particulate; pollution; inverse problems.

Received on 1 February 2005. accepted on 22 June 2006.


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