Projects per year
Abstract
Motivated by the need for a better understanding of the transport of solutes in microfluidic flows with free surfaces, the advection and dispersion of a passive solute in steady unidirectional flow of a thin uniform rivulet on an inclined planar substrate driven by gravity and/or a uniform longitudinal surface shear stress are analysed. Firstly, we describe the shorttime advection of both an initially semiinfinite and an initially finite slug of solute of uniform concentration. Secondly, we describe the longtime TaylorAris dispersion of an initially finite slug of solute. In particular, we obtain the general expression for the effective diffusivity for TaylorAris dispersion in such a rivulet, and discuss in detail its different interpretations in the special case of a rivulet on a vertical substrate.
Original language  English 

Article number  20170524 
Number of pages  22 
Journal  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 
Volume  473 
Issue number  2207 
DOIs  
Publication status  Published  15 Nov 2017 
Keywords
 mathematical modelling
 advection
 TaylorAris dispersion
 rivulet
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Projects
 1 Finished

Small particles, big questions: understanding the complex behaviour of nanofluids
1/10/13 → 31/03/16
Project: Research Fellowship