Mechanical rotation of a magnetic stirrer or a rotary evaporator can induce an enantiomeric excess of supramolecular species. In this study, we investigate the effect of fluid motion in a rotary evaporator on chiral supramolecular species. It is shown theoretically that the twisting effect of fluid motion on cylindrical particles is expressed in terms of helicity dissipation rate. Helicity dissipation can be interpreted as the helicity transfer from helical fluid motion to chiral supramolecular structures. A numerical simulation of flow in a rotary evaporator was carried out to evaluate the helicity and its dissipation rate. The volume integral of the helicity dissipation in the computational domain showed a positive value; its sign agrees with experiment in which the right-handed helical structures of J-aggregates were induced by the counter-clockwise rotation of a rotary evaporator. Furthermore, terms in the transport equation for the helicity were evaluated for investigating the helicity behavior.
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January 2014
Research Article|
January 09 2014
Helicity transfer in rotary evaporator flow
Fujihiro Hamba;
Fujihiro Hamba
a)
Institute of Industrial Science,
The University of Tokyo
, Komaba, Meguro-ku, Tokyo 153-8505, Japan
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Kazuhiro Niimura;
Kazuhiro Niimura
Institute of Industrial Science,
The University of Tokyo
, Komaba, Meguro-ku, Tokyo 153-8505, Japan
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Yuichi Kitagawa;
Yuichi Kitagawa
Institute of Industrial Science,
The University of Tokyo
, Komaba, Meguro-ku, Tokyo 153-8505, Japan
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Kazuyuki Ishii
Kazuyuki Ishii
Institute of Industrial Science,
The University of Tokyo
, Komaba, Meguro-ku, Tokyo 153-8505, Japan
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a)
Author to whom correspondence should be addressed. Electronic mail: [email protected]
Physics of Fluids 26, 017101 (2014)
Article history
Received:
July 30 2013
Accepted:
December 18 2013
Citation
Fujihiro Hamba, Kazuhiro Niimura, Yuichi Kitagawa, Kazuyuki Ishii; Helicity transfer in rotary evaporator flow. Physics of Fluids 1 January 2014; 26 (1): 017101. https://doi.org/10.1063/1.4861095
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