By Jaap M J den Toonder; Patrick R Onck
Content material: bankruptcy 1: creation; part: Theoretical and numerical descriptions of man-made Cilia; bankruptcy 2: Numerical modeling for synthetic cilia; bankruptcy three: Computational layout of magnetic synthetic cilia; bankruptcy four: Modeling the interplay of lively cilia with species in answer: from chemical reagents to microscopic debris; bankruptcy five: Electrostatic synthetic cilia; bankruptcy 6: Ferromagnetic cilia; bankruptcy 7: mild actuated synthetic cilia according to liquid crystal networks; bankruptcy eight: Hydrogel-Actuated built-in Responsive structures (HAIRS): growing Cilia-like 'Hairy' Surfaces; bankruptcy nine: Microwalkers - Charles Singh and Alfredo Alexander-Katz; bankruptcy 10: man made flagellar microswimmers; part: the opportunity of synthetic cilia: experimental proof; bankruptcy eleven: Fluid manipulation via synthetic cilia; bankruptcy 12: dimension of Fluid circulation Generated by means of synthetic Cilia
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N. Coq, A. -D. Delapierre, L. Malaquin, O. du Roure, M. Fermigier and D. Bartolo, Phys. Rev. , 2011, 107, 014501. 36. M. Vilfan, A. Potocˇik, B. Kavcˇicˇ, N. Osterman, I. Poberaj, A. Vilfan and D. Babicˇ, Proc. Natl Acad. Sci. , 2010, 107, 1844. 37. G. Kokot, M. Vilfan, N. Osterman, A. Vilfan, B. Kavcˇicˇ, I. Poberaj and D. Babicˇ, Biomicroﬂuidics, 2011, 5, 034103. 38. M. Vilfan, G. Kokot, A. Vilfan, N. Osterman, B. Kavcˇicˇ, I. Poberaj and D. Babicˇ, Beilstein J. , 2012, 3, 163. 39. C. E. Sing, L.
We ﬁrst explain how we couple the bead-spring chain to the viscous ﬂuid. 1 Method of Mobilities At low Reynolds number ﬂuid inertia can be neglected on time scales larger than the time t ¼ d 2 =ð6Z=rÞ ﬂuid momentum needs to diﬀuse a characteristic distance d, where we have introduced the viscosity Z and the mass density r of the ﬂuid. 1 I0 y The artiﬁcial cilium modelled as a bead-spring chain is attached to a bounding wall. 24 Superparamagnetic ﬁlament: in the two-dimensional stroke the actuating magnetic ﬁeld oscillates around the z axis.
We typically choose it much larger than one so that changes in the length of the bead-spring chain are well below 10 %. The third parameter B2s compares actuating to bending forces. 1. 3 A Superparamagnetic Filament for Fluid Transport Recently a superparamagnetic ﬁlament was constructed with the goal of using it as an artifcial cilium or ﬂagellum. Micron-sized superparamagnetic colloidal particles are linked to each other by double-stranded DNA and form an elastic ﬁlament which resists bending and stretching31–33 (for similar systems see references 65 and 66).