Panel Method Solution of Thrust Produced by a 2-D Elastic Flat Plate Swinging in a Potential Flow
Date Issued
2011
Date
2011
Author(s)
Wu, Shin-Hao
Abstract
The present study aims at using a two-dimensional flexible flat plate to simulate the swimming motion of a fish. The flow field is assumed to be an inviscid and irrotational potential flow, along with the unsteady Kutta condition to simulate the vortex shedding phenomenon at the end of the flat plate. The vortex panel method is adopted to solve the flow field, and the force acting on the plate is calculated from the unsteady Bernoulli equation. The Euler-Bernoulli beam equation is used to obtain the deformation and transverse motion of the flat plate, which are then coupled with the pressure field of the flow to establish the fluid-structure interaction status. Calculated thrust is compared with that produced by a swinging rigid flat plate. Present results show that, under the assumption of small swinging amplitudes of the plate, the elastic nature of the plate offers no help to increase the thrust in most of the cases. It suggests that the undulating motion of the fish body is not caused by the fluid-structure interaction, a fish can not generate thrust effectively to assist it move forward in the fluid by this passive-type of body motion.
Subjects
flat plate
potential flow
panel method
Euler-Bernoulli beam
swing
Type
thesis
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