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A mathematical model for the motion of a micro-robot consisting of three spheres linked with axially aligned retractable arms in Stokes flow that gives expressions for mean distance moved, mean drift velocity and energy efficiency of the non-reciprocal cyclic swimming motion (2023)
Journal Article
Elatrash, L., Chadwick, E., El-Mazuzi, R., Christian, J. M., Wang, Y., Adamu, H. A., & Chadwick, E. (in press). A mathematical model for the motion of a micro-robot consisting of three spheres linked with axially aligned retractable arms in Stokes flow that gives expressions for mean distance moved, mean drift velocity and energy efficiency of the non-reciprocal cyclic swimming motion. Computers and Fluids, 266, https://doi.org/10.1016/j.compfluid.2023.106064

The problem studied was the non-reciprocal cyclic swimming motion of three spheres linked with axially aligned retractable arms in Stokes flow. The arms are assumed to be able to retract at a steady speed to half their length, and then at a later tim... Read More about A mathematical model for the motion of a micro-robot consisting of three spheres linked with axially aligned retractable arms in Stokes flow that gives expressions for mean distance moved, mean drift velocity and energy efficiency of the non-reciprocal cyclic swimming motion.

A coupled far-field formulation for time-periodic numerical problems in fluid dynamics (2012)
Journal Article
Chadwick, E., & El-Mazuzi, R. (2012). A coupled far-field formulation for time-periodic numerical problems in fluid dynamics. #Journal not on list, 122(4), 661-672. https://doi.org/10.1007/s12044-012-0101-8

Consider uniform flow past an oscillating body generating a time-periodic motion in an exterior domain, modelled by a numerical fluid dynamics solver in the near field around the body. A far-field formulation, based on the Oseen equations, is present... Read More about A coupled far-field formulation for time-periodic numerical problems in fluid dynamics.

On oscillatory oseenlets: the forces generated by them, the far field expansion obtained using them, and their relation to oscillatory stokeslets (2011)
Journal Article
Chadwick, E., & Elmazuzi, R. (2011). On oscillatory oseenlets: the forces generated by them, the far field expansion obtained using them, and their relation to oscillatory stokeslets. #Journal not on list, 9(1),

Consider uniform flow past an oscillating body. Assume that the resulting far-field flow consists of both steady and time periodic components. The time periodic components can be decomposed into a Fourier expansion series of time harmonic components.... Read More about On oscillatory oseenlets: the forces generated by them, the far field expansion obtained using them, and their relation to oscillatory stokeslets.