Spelman, Tamsin A. and Lauga, Eric 2017. Arbitrary axisymmetric steady streaming: flow, force and propulsion. Journal of Engineering Mathematics, Vol. 105, Issue. 1, p. 31.
Felderhof, B U and Jones, R B 2017. Swimming of a sphere in a viscous incompressible fluid with inertia. Fluid Dynamics Research, Vol. 49, Issue. 4, p. 045510.
Pedley, T. J. 2016. Spherical squirmers: models for swimming micro-organisms. IMA Journal of Applied Mathematics, Vol. 81, Issue. 3, p. 488.
Li, Gaojin Ostace, Anca and Ardekani, Arezoo M. 2016. Hydrodynamic interaction of swimming organisms in an inertial regime. Physical Review E, Vol. 94, Issue. 5,
Sarvestani, Ali N. Shamloo, Amir and Ahmadian, Mohammad Taghi 2016. Simulation of Paramecium Chemotaxis Exposed to Calcium Gradients. Cell Biochemistry and Biophysics, Vol. 74, Issue. 2, p. 241.
Wang, Qixuan and Othmer, Hans G. 2016. Computational analysis of amoeboid swimming at low Reynolds number. Journal of Mathematical Biology, Vol. 72, Issue. 7, p. 1893.
Guillod, Julien and Wittwer, Peter 2015. Asymptotic behaviour of solutions to the stationary Navier–Stokes equations in two-dimensional exterior domains with zero velocity at infinity. Mathematical Models and Methods in Applied Sciences, Vol. 25, Issue. 02, p. 229.
W Liou, William and Yang, Yang 2015. Numerical study of low-Reynolds number flow over rotating rigid helix: an investigation of the unsteady hydrodynamic force. Fluid Dynamics Research, Vol. 47, Issue. 4, p. 045506.
Acemoglu, Alperen and Yesilyurt, Serhat 2015. Effects of poiseuille flows on swimming of magnetic helical robots in circular channels. Microfluidics and Nanofluidics, Vol. 19, Issue. 5, p. 1109.
Wang, Shiyan and Ardekani, Arezoo M. 2015. Biogenic mixing induced by intermediate Reynolds number swimming in stratified fluids. Scientific Reports, Vol. 5, Issue. 1,
Li, Lei and Spagnolie, Saverio E. 2015. Swimming and pumping by helical waves in viscous and viscoelastic fluids. Physics of Fluids, Vol. 27, Issue. 2, p. 021902.
Li, Gao-Jin and Ardekani, Arezoo M. 2014. Hydrodynamic interaction of microswimmers near a wall. Physical Review E, Vol. 90, Issue. 1,
Khair, Aditya S. and Chisholm, Nicholas G. 2014. Expansions at small Reynolds numbers for the locomotion of a spherical squirmer. Physics of Fluids, Vol. 26, Issue. 1, p. 011902.
Ishimoto, Kenta and Gaffney, Eamonn A. 2014. Swimming efficiency of spherical squirmers: Beyond the Lighthill theory. Physical Review E, Vol. 90, Issue. 1,
Li, G. -J. Karimi, A. and Ardekani, A. M. 2014. Effect of solid boundaries on swimming dynamics of microorganisms in a viscoelastic fluid. Rheologica Acta, Vol. 53, Issue. 12, p. 911.
Ishimoto, Kenta 2013. A spherical squirming swimmer in unsteady Stokes flow. Journal of Fluid Mechanics, Vol. 723, p. 163.
Wang, S. and Ardekani, A. 2012. Inertial squirmer. Physics of Fluids, Vol. 24, Issue. 10, p. 101902.
Small planktonic organisms ubiquitously display unsteady or impulsive motion to attack a prey or escape a predator in natural environments. Despite this, the role of unsteady forces such as history and added mass forces on the low-Reynolds-number propulsion of small organisms, e.g. Paramecium, is poorly understood. In this paper, we derive the fundamental equation of motion for an organism swimming by means of the surface distortion in a non-uniform background flow field at a low-Reynolds-number regime. We show that the history and added mass forces are important as the product of Reynolds number and Strouhal number increases above unity. Our results for an unsteady squirmer show that unsteady inertial effects can lead to a non-zero mean velocity for the cases with zero streaming parameters, which have zero mean velocity in the absence of inertia.
Email your librarian or administrator to recommend adding this journal to your organisation's collection.
Full text views reflects the number of PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views.
* Views captured on Cambridge Core between September 2016 - 24th November 2017. This data will be updated every 24 hours.