Elementary flow field profiles of micro-swimmers in weakly anisotropic nematic fluids: stokeslet, stresslet, rotlet and source flows

Abstract

Analytic formulations of elementary flow field profiles in weakly anisotropic nematic fluid are determined, which can be attributed to biological or artificial micro-swimmers, including Stokeslet, stresslet, rotlet and source flows. Stokes equation for a nematic stress tensor is written with the Green function and solved in the k-space for anisotropic Leslie viscosity coefficients under the limit of leading isotropic viscosity coefficient. Analytical expressions for the Green function are obtained that are used to compute the flow of monopole or dipole swimmers at various alignments of the swimmers with respect to the homogeneous director field. Flow profile is also solved for the flow sources/sinks and source dipoles showing clear emergence of anisotropy in the magnitude of flow profile as the result of fluid anisotropic viscosity. The range of validity of the presented analytical solutions is explored, as compared to exact numerical solutions of the Stokes equation. This work is a contribution towards understanding elementary flow motifs and profiles in fluid environments that are distinctly affected by anisotropic viscosity, offering analytic insight, which could be of relevance to a range of systems from microswimmers, active matter to microfluidics.

Keywords

dinamika tekočin;nematske tekočine;anizotropne tekočine;fluid dynamics;nematic fluids;anisotropic fluids;

Data

Language:	English
Year of publishing:	2018
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	532.5
COBISS:	3169124
ISSN:	2311-5521
Views:	197
Downloads:	72
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary keywords:	dinamika tekočin;nematske tekočine;anizotropne tekočine;
Type (COBISS):	Article
Pages:	19 str.
Volume:	ǂVol. ǂ3
Issue:	ǂart. no. ǂ15
Chronology:	2018
DOI:	10.3390/fluids3010015
ID:	13646700