2018
DOI: 10.1016/j.jtbi.2017.10.014
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The added mass forces in insect flapping wings

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Cited by 21 publications
(12 citation statements)
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“…Each of them satisfies the Laplace equation, and represents the velocity potential due to the body motion with unit velocity in the jth mode: j = 1, 2, 3 correspond to unit translational velocities in the x 1 , x 2 and x 3 directions (figure 8), respectively, and j = 4, 5, 6 correspond to unit rotational velocities about the x 1 , x 2 and x 3 axes (figure 8), respectively. The authors recently developed a code for solving the velocity potentials and computing the added-mass force (Liu & Sun 2018). The code was based on a three-dimension panel method.…”
Section: A2 Flow Solution Methods and Grid Testsmentioning
confidence: 99%
See 1 more Smart Citation
“…Each of them satisfies the Laplace equation, and represents the velocity potential due to the body motion with unit velocity in the jth mode: j = 1, 2, 3 correspond to unit translational velocities in the x 1 , x 2 and x 3 directions (figure 8), respectively, and j = 4, 5, 6 correspond to unit rotational velocities about the x 1 , x 2 and x 3 axes (figure 8), respectively. The authors recently developed a code for solving the velocity potentials and computing the added-mass force (Liu & Sun 2018). The code was based on a three-dimension panel method.…”
Section: A2 Flow Solution Methods and Grid Testsmentioning
confidence: 99%
“…Our group recently developed a code for computing the added-mass force of flapping wings, using the three-dimensional panel method (Liu & Sun 2018); see appendix A for the validation of the code and convergence study of the panel method. Using the code we calculated the added-mass force of the mosquito wing and the results are shown in figure 9, compared with the results computed by solving the Navier-Stokes equations.…”
Section: Force Peak At the Beginning Of The Downstroke Or Upstrokementioning
confidence: 99%
“…His results show that the added mass of a rigid body moving in an incompressible fluid can be computed by solving a separate potential flow. Our group recently developed a code for computing the added mass force of flapping wings (Liu and Sun 2018). Using the code we calculated the added mass force during the rowing period and the results are shown in Figure 12a and b.…”
Section: Aerodynamic-force Mechanismsmentioning
confidence: 99%
“…Nevertheless, by resolving the body's acceleration relative to the inertial frame in body axes [28], it becomes possible to define an added mass tensor that depends only on the shape and size of the body. The added mass forces involved in insect flight are especially significant at stroke reversal [29], when the magnitude of the wing's acceleration is greatest, and when the wing's orientation is such that a significant part of its acceleration is directed normal to its chord. It is important to emphasize that the added mass force is simply an unsteady pressure force arising from acceleration of the fluid, and is not connected with any identifiable mass of fluid actually being carried along with the body.…”
Section: Form Of the Unsteady Forcesmentioning
confidence: 99%