Abstract
| Original language | English |
|---|---|
| Article number | 20170524 |
| Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Volume | 473 |
| Issue number | 2207 |
| DOIs | |
| Publication status | Published - 15 Nov 2017 |
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Keywords
- mathematical modelling
- advection
- Taylor-Aris dispersion
- rivulet
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Advection and Taylor-Aris dispersion in rivulet flow. / Al Mukahal, F. H. H.; Duffy, B. R.; Wilson, S. K.
In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 473, No. 2207, 20170524, 15.11.2017.Research output: Contribution to journal › Article
TY - JOUR
T1 - Advection and Taylor-Aris dispersion in rivulet flow
AU - Al Mukahal, F. H. H.
AU - Duffy, B. R.
AU - Wilson, S. K.
PY - 2017/11/15
Y1 - 2017/11/15
N2 - 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 short-time advection of both an initially semi-infinite and an initially finite slug of solute of uniform concentration. Secondly, we describe the long-time Taylor-Aris dispersion of an initially finite slug of solute. In particular, we obtain the general expression for the effective diffusivity for Taylor-Aris dispersion in such a rivulet, and discuss in detail its different interpretations in the special case of a rivulet on a vertical substrate.
AB - 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 short-time advection of both an initially semi-infinite and an initially finite slug of solute of uniform concentration. Secondly, we describe the long-time Taylor-Aris dispersion of an initially finite slug of solute. In particular, we obtain the general expression for the effective diffusivity for Taylor-Aris dispersion in such a rivulet, and discuss in detail its different interpretations in the special case of a rivulet on a vertical substrate.
KW - mathematical modelling
KW - advection
KW - Taylor-Aris dispersion
KW - rivulet
UR - http://rspa.royalsocietypublishing.org/
U2 - 10.1098/rspa.2017.0524
DO - 10.1098/rspa.2017.0524
M3 - Article
VL - 473
JO - Proceedings A: Mathematical, Physical and Engineering Sciences
JF - Proceedings A: Mathematical, Physical and Engineering Sciences
SN - 1364-5021
IS - 2207
M1 - 20170524
ER -