The Influence of Variable Convective Velocities on Longitudinal Diffusion |
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Authors: | SMITH S. H. |
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Affiliation: | Department of Mathematics, University of Toronto Toronto M5S 1A1, Canada |
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Abstract: | Solutions are presented for the impulsively started uniformstream and simple shear flows past a point source of momentum,which can be interpreted to describe the position and the widthof the front which transmits the knowledge of the singularitythrough a slightly viscous fluid. These understandings are thengeneralized to show that the front always moves with velocityslower than that of a (strictly monotonic) convective velocity,and also that its width always grows faster than with simplediffusion. Finally, a remarkably simple, exact expression is given forvorticity due to a simple shear flow past a point vortex. |
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