20.500.12556/RUL-131873 Elementary flow field profiles of micro-swimmers in weakly anisotropic nematic fluids Stokeslet, stresslet, rotlet and source flows 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. fluid dynamics nematic fluids anisotropic fluids elementary flow field profiles anisotropy micro-swimmers nematic non-Newtonian fluids dinamika tekočin nematske tekočine anizotropne tekočine true false true Angleški jezik Slovenski jezik Članek v reviji 2021-10-05 11:24:38 2021-10-05 11:24:39 2022-09-10 04:14:18 0000-00-00 00:00:00 2018 0 0 19 str. iss. 1, art. 15 Vol. 3 2018 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 532.5 2311-5521 10.3390/fluids3010015 3169124 RAZ_Kos_Ziga_2018.pdf RAZ_Kos_Ziga_2018.pdf 1 87F5E7C34A539B6E5E619C34FDA9A505 7ce27e74122a4a6fc594407f7106c5c54404ce406e319181ca5eb228f847f13c 07340272-25be-11ec-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=149305 http://www.mdpi.com/2311-5521/3/1/15 1 c5f07415-25bd-11ec-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=149304 Fakulteta za matematiko in fiziko 0 0 0