000130617 001__ 130617 000130617 005__ 20240126184245.0 000130617 0247_ $$2doi$$a10.1103/PhysRevE.92.053008 000130617 0248_ $$2sideral$$a135334 000130617 037__ $$aART-2015-135334 000130617 041__ $$aeng 000130617 100__ $$0(orcid)0000-0002-9361-4794$$aDe Corato, M. 000130617 245__ $$aLocomotion of a microorganism in weakly viscoelastic liquids 000130617 260__ $$c2015 000130617 5203_ $$aIn the present work we study the motion of microorganisms swimming by an axisymmetric distribution of surface tangential velocity in a weakly viscoelastic fluid. The second-order fluid constitutive equation is used to model the suspending fluid, while the well-known “squirmer model” [M. J. Lighthill, Comm. Pure Appl. Math. 5, 109 (1952); J. R. Blake, J. Fluid Mech. 46, 199 (1971)] is employed to describe the organism propulsion mechanism. A regular perturbation expansion up to first order in the Deborah number is performed, and the generalized reciprocity theorem from Stokes flow theory is then used, to derive analytical formulas for the squirmer velocity. Results show that “neutral” squirmers are unaffected by viscoelasticity, whereas “pullers” and “pushers” are slowed down and hastened, respectively. The power dissipated by the swimming microorganism and the “swimming efficiency” are also analytically quantified. 000130617 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000130617 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000130617 700__ $$aGreco, F. 000130617 700__ $$aMaffettone, P. L. 000130617 773__ $$g92, 5 (2015), 053008 [10 pp]$$pPhys. rev., E Stat. nonlinear soft matter phys.$$tPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics$$x1539-3755 000130617 8564_ $$s640967$$uhttps://zaguan.unizar.es/record/130617/files/texto_completo.pdf$$yPostprint 000130617 8564_ $$s1217541$$uhttps://zaguan.unizar.es/record/130617/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000130617 909CO $$ooai:zaguan.unizar.es:130617$$particulos$$pdriver 000130617 951__ $$a2024-01-26-18:14:49 000130617 980__ $$aARTICLE