Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-30T11:43:55.757Z Has data issue: false hasContentIssue false
  • English
  • Français

Non-spherical osmotic motor: chemical sailing

Published online by Cambridge University Press:  01 May 2014

Sergey Shklyaev ,
John F. Brady  and
Ubaldo M. Córdova-Figueroa
Sergey Shklyaev
Affiliation:
Department of Chemical Engineering, University of Puerto Rico – Mayagüez, Mayagüez, PR 00681, USA Divisions of Chemistry & Chemical Engineering and Engineering & Applied Science, California Institute of Technology, Pasadena, CA 91125, USA Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, Perm, 614013, Russia
John F. Brady*
Affiliation:
Divisions of Chemistry & Chemical Engineering and Engineering & Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
Ubaldo M. Córdova-Figueroa
Affiliation:
Department of Chemical Engineering, University of Puerto Rico – Mayagüez, Mayagüez, PR 00681, USA
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The behaviour of a non-spherical osmotic motor – an axisymmetric catalytic particle self-propelling in a dilute dispersion of reactant particles – is considered. In contrast to a conventional osmotic motor that creates differences in concentration, and hence in osmotic pressure, due to asymmetry in reaction rate along its surface (e.g. a Janus particle with reactive and non-reactive patches), a non-spherical particle is able to move even with uniform chemical activity on its surface. For small departures from a sphere the velocity of self-propulsion is proportional to the square of the non-sphericity or distortion of the particle shape. It is shown that the inclusion of hydrodynamic interactions (HI) may drastically change the self-propulsion. Except for very slow chemical reactions, even the direction of self-propulsion changes with and without HI. Numerical calculations at finite non-sphericity suggest that the maximum velocity of self-propulsion is obtained by a sail-like motor shape, leading to the name ‘chemical sailing’. Moreover, no saturation in the speed of propulsion is found; the motor velocity increases as the area of this ‘sail’ grows and its thickness decreases. The self-propulsion of a non-spherical particle releasing products of a chemical reaction – a constant flux motor – is also considered.

JFM classification

Complex Fluids: Colloids Low-Reynolds-number flows: Low-Reynolds-number flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 748 , 10 June 2014 , pp. 488 - 520
Copyright
© 2014 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramowitz, M. & Stegun, I. A. 1965 Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables. Dover Publications.Google Scholar
Anderson, J. L. 1989 Colloidal transport by interfacial forces. Annu. Rev. Fluid Mech. 21, 61–99.Google Scholar
Brady, J. F. 2011 Particle motion driven by solute gradients with application to autonomous motion: continuum and colloidal perspectives. J. Fluid Mech. 667, 216–259.Google Scholar
Córdova-Figueroa, U. M. & Brady, J. F. 2008 Osmotic propulsion: the osmotic motor. Phys. Rev. Lett. 100, 158303.Google Scholar
Córdova-Figueroa, U. M., Brady, J. F. & Shklyaev, S. 2013 Osmotic propulsion of colloidal particles via constant surface flux. Soft Matt. 9, 6347–6542.Google Scholar
Derjaguin, B. V., Sidorenkov, G. P., Zubashchenkov, E. A. & Kiseleva, E. V. 1947 Kinetic phenomena in boundary films of liquids. Kolloidn. Z. 9, 335–347.Google Scholar
Golestanian, R., Liverpool, T. B. & Ajdari, A. 2005 Propulsion of a molecular machine by asymmetric distribution of reaction products. Phys. Rev. Lett. 94, 220801.CrossRefGoogle ScholarPubMed
Golestanian, R., Liverpool, T. B. & Ajdari, A. 2007 Designing phoretic micro- and nano- swimmers. New J. Phys. 9, 126.Google Scholar
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice-Hall.Google Scholar
Hoh, N. J.2013 Effects of particle size ratio on single particle motion in colloidal dispersions. PhD thesis, California Institute of Technology.Google Scholar
Howse, J. R., Jones, R. A. L., Ryan, A. J., Gough, T., Vafabakhsh, R. & Golestanian, R. 2007 Self-motile colloidal particles: from directed propulsion to random walk. Phys. Rev. Lett. 99, 048102.Google Scholar
Ismagilov, R. F., Schwartz, A., Bowden, N. & Whitesides, G. M. 2002 Autonomous movement and self-assembly. Angew. Chem. Intl Ed. Engl. 41, 652–654.Google Scholar
Katsikadelis, J. T. 2002 Boundary Elements Theory and Applications. Elsevier.Google Scholar
Lauga, E. & Davis, A. M. J. 2012 Viscous Marangoni propulsion. J. Fluid Mech. 705, 120–133.Google Scholar
Paxton, W. F., Sundararajan, S., Mallouk, T. E. & Sen, A. 2006 Chemical locomotion. Angew. Chem. Intl Ed. Engl. 45, 5420–5429.Google Scholar
Payne, L. E. & Pell, W. H. 1960 The Stokes flow problem for a class of axially symmetric bodies. J. Fluid Mech. 7, 529–549.Google Scholar
Popescu, M. N., Tasinkevych, M. & Dietrich, S. 2011 Pulling and pushing a cargo with a catalytically active carrier. Eur. Phys. Lett. 95, 28004.Google Scholar
Rückner, G. & Kapral, R. 2007 Chemically powered nanodimers. Phys. Rev. Lett. 98, 150603.Google Scholar
Russel, W. B., Saville, D. A. & Schowalter, W. R. 1989 Colloidal Dispersions. Cambridge University Press.Google Scholar
Sampson, R. A. 1891 On Stokes’s current function. Phil. Trans. R. Soc. 182, 449–518.Google Scholar
Sengupta, S., Ibele, M. E. & Sen, A. 2012 Fantastic voyage: designing self-powered nanorobots. Angew. Chem. Intl Ed. Engl. 51, 8434–8445.Google Scholar
Sharifi-Mood, N., Koplik, J. & Maldarelli, C. 2013 Diffusiophoretic self-propulsion of colloids driven by a surface reaction: the sub-micron particle regime for exponential and van der Waals interactions. Phys. Fluids 25, 012001.Google Scholar
Swan, J. W. & Khair, A. S. 2008 On the hydrodynamics of ‘slip-stick’ spheres. J. Fluid Mech. 606, 115–132.Google Scholar
Thakura, S. & Kapral, R. 2010 Self-propelled nanodimer bound state pairs. J. Chem. Phys. 135, 204505.CrossRefGoogle Scholar
Wei, H. -H. & Jan, J. -S. 2010 Self-propulsion and dispersion of reactive colloids due to entropic anisotropy. J. Fluid Mech. 657, 64–88.Google Scholar
Zhang, H., Duan, W., Liu, L. & Sen, A. 2013 Depolymerization-powered autonomous motors using biocompatible fuel. J. Am. Chem. Soc. 135, 15734–15737.CrossRefGoogle ScholarPubMed