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Swimming of a Waving Sheet in a Viscous Fluid
Author(s) -
Choudhary Priyanka,
Mandal Subhayan,
Babu Sujin B.
Publication year - 2017
Publication title -
macromolecular symposia
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 76
eISSN - 1521-3900
pISSN - 1022-1360
DOI - 10.1002/masy.201700036
Subject(s) - materials science , geology , mechanics , polymer science , physics
We present the study of the swimming of a finite size Taylor sheet in a viscous fluid. To model the waving Taylor sheet, we use bead spring model with the bending potentials. To consider the hydrodynamic interaction between the beads, we employ the Rotne‐Prager mobility tensor. We show in the present study that for the rectangular sheet the frequency of the wave oscillation is proportional to the wave velocity also the flow field created by the sheet is the similar to that of the infinitely long Taylor sheet. In the present study, we also show that the ratio of the perpendicular and parallel friction coefficient is no longer a constant but varies with the dimensions of the sheet. The velocity of the sheet, scales very well with the finite length approximation of the Taylor sheet. The stroke efficiency of the swimmer is also calculated which show similar trends as the velocity with the finite dimensions of the sheet.