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Appendix—Three-dimensional interpretation of the two-dimensional advection-diffusion equation

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1 Author(s)
Langlois, W. E. ; IBM Research Laboratory, Monterey and Cottle Roads, San Jose, California 95114, USA

The realism of Shir's results may at first appear paradoxical. His numerical model is two-dimensional, so that the simulated stacks are actually line sources, whereas real-atmosphere stacks are (essentially) point sources. The physical dimensions of the source strengths aren't even the same for the two cases. Moreover, even in a unidirectional wind field, atmospheric turbulence acts to diffuse the plume in the three directions, not two. This point is especially important in view of the basic differences between two- and three-dimensional turbulence, which arise from the absence of vortex stretching in the two-dimensional case.

Note: The Institute of Electrical and Electronics Engineers, Incorporated is distributing this Article with permission of the International Business Machines Corporation (IBM) who is the exclusive owner. The recipient of this Article may not assign, sublicense, lease, rent or otherwise transfer, reproduce, prepare derivative works, publicly display or perform, or distribute the Article.  

Published in:

IBM Journal of Research and Development  (Volume:16 ,  Issue: 2 )

Date of Publication:

March 1972

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