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Thrust efficiency of harmonically oscillating flexible flat plates

Published online by Cambridge University Press:  02 March 2011

PAULO J. S. A. FERREIRA de SOUSA  and
JAMES J. ALLEN
PAULO J. S. A. FERREIRA de SOUSA*
Affiliation:
Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, NM 88003, USA Department of Mechanical Engineering/LASEF, Instituto Superior Técnico, Avenue Rovisco Pais, 1, 1049-001 Lisboa, Portugal
JAMES J. ALLEN
Affiliation:
Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, NM 88003, USA
*
†Present address: Department of Mechanical Engineering, Vanderbilt University, Nashville, TN 37240, USA. Email address for correspondence: [email protected]
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Abstract

We consider the efficiency of thrust-producing inextensible membranes with variable bending rigidities. The present study is a numerical investigation of the thrust generation and flow-field characteristics of a two-dimensional flapping flexible membrane, fixed at its leading edge. To study the time-dependent response of the membranes, a fluid/structure solver that couples a compact finite-difference immersed boundary method flow solver with a thin-membrane structural solver was developed. Using a body-fitted grid, external forcing to the structure is calculated from the boundary fluid dynamics. A systematic series of runs of the fluid/structure solver was performed in order to obtain a clear picture of the thrust-producing characteristics of membranes with bending rigidities ranging between EI = 5 × 10−6 and EI = 2 × 10−5 and structural mass coefficients between ρsh = 0.01 and ρsh = 0.04, for a Reynolds number of Re = 851.

JFM classification

Biological Fluid Dynamics: Propulsion Biological Fluid Dynamics: Swimming/flying
Type
Papers
Information
Journal of Fluid Mechanics , Volume 674 , 10 May 2011 , pp. 43 - 66
Copyright
Copyright © Cambridge University Press 2011

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