Academic Journal
Passive and Self-propelled Locomotion of an Elastic Swimmer in a Perfect Fluid
| العنوان: | Passive and Self-propelled Locomotion of an Elastic Swimmer in a Perfect Fluid |
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| المؤلفون: | Munnier, Alexandre |
| المساهمون: | Robust control of infinite dimensional systems and applications (CORIDA), Institut Élie Cartan de Nancy (IECN), Institut National de Recherche en Informatique et en Automatique (Inria)-Université Henri Poincaré - Nancy 1 (UHP)-Université Nancy 2-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche en Informatique et en Automatique (Inria)-Université Henri Poincaré - Nancy 1 (UHP)-Université Nancy 2-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS)-Laboratoire de Mathématiques et Applications de Metz (LMAM), Université Paul Verlaine - Metz (UPVM)-Centre National de la Recherche Scientifique (CNRS)-Université Paul Verlaine - Metz (UPVM)-Centre National de la Recherche Scientifique (CNRS)-Inria Nancy - Grand Est, Institut National de Recherche en Informatique et en Automatique (Inria), ANR-09-BLAN-0213,CISIFS,Controle et Identification pour les Systemes d'Interaction Fluide-Structure(2009) |
| المصدر: | ISSN: 1536-0040 ; SIAM Journal on Applied Dynamical Systems ; https://hal.science/hal-00509657 ; SIAM Journal on Applied Dynamical Systems, 2011, 10 (4), pp.1363--1403. ⟨10.1137/100805455⟩. |
| بيانات النشر: | HAL CCSD Society for Industrial and Applied Mathematics |
| سنة النشر: | 2011 |
| المجموعة: | Université de Lorraine: HAL |
| مصطلحات موضوعية: | Perfect fluid, Elastic swimmer, Passive locomotion, D'Alembert's paradox, 74F10, 76Z10, 73C20, 76B40, [PHYS.MECA.BIOM]Physics [physics]/Mechanics [physics]/Biomechanics [physics.med-ph], [SPI.MECA.BIOM]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Biomechanics [physics.med-ph], [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] |
| الوصف: | 40 pages ; International audience ; In this paper we are interested in studying the free motion of a hyperelastic body (also called a swimmer ) immersed in a perfect fluid. We derive the Euler-Lagrange equations from the Least Action Principle of Lagrangian Mechanics and prove that they are well-posed when the number of elastic modes is finite. The recourse to a strain energy density function in the modeling allows many different constitutive equations for the hyperelastic material to be considered. We perform numerical simulations, aiming to study passive locomotion (i.e. locomotion at zero energy cost). As a first quite surprising result, we observe that the swimmer does not even have to be elastic to experience passive locomotion in its idealized environment. Indeed, we provide an example of deformable (but non elastic) swimmer, for which the fluid-body system behaves as an oscillating mechanical system. The shape changes caused solely by the hydrodynamical forces on the body's boundary turn out to be periodic strokes resulting in locomotion. This phenomenon can be seen as a generalization, to deformable bodies, of the famous D'Alembert's paradox (1752), claiming that the drag force is zero on a rigid solid moving with constant velocity. Many other examples of passive locomotion, involving different types of hyperelastic swimmers, are studied. A special interest is devoted to the study of energy and impulse exchanges between the fluid and the body. In the last section, we assume that the swimmer has the ability to modify its shape by means of internal forces. We prove that in this case, the equations of motion are still well-posed and we illustrate again with numerical simulations that, starting from rest, self-propelled locomotion can be achieved. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | hal-00509657; https://hal.science/hal-00509657; https://hal.science/hal-00509657v2/document; https://hal.science/hal-00509657v2/file/Elastic_body.pdf |
| DOI: | 10.1137/100805455 |
| الاتاحة: | https://hal.science/hal-00509657 https://hal.science/hal-00509657v2/document https://hal.science/hal-00509657v2/file/Elastic_body.pdf https://doi.org/10.1137/100805455 |
| Rights: | http://creativecommons.org/licenses/by/ ; info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.38A890C6 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1137/100805455 |
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