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Award ID contains: 0133978

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  1. ; (, Fluid Dynamics Research)
    The free fall of an ellipse in an infinite linearly-stratified fluid is investigated using a linear two-dimensional, Boussinesq, diffusionless, inviscid model. The oscillations of the ellipse decay because of radiation damping, but unlike the case of a circular cylinder, the ellipse can also rotate and move horizontally. The resulting equations are solved analytically for some simple cases for which there is little or no rotation. Motions with rotation are studied numerically using a spectral method to solve for the wave field in the fluid. 
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    Free, publicly-accessible full text available December 1, 2025
  2. (, Physica D: Nonlinear Phenomena)
    null (Ed.)
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  3. ; (, Theoretical and Computational Fluid Dynamics)
    null (Ed.)
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  4. ; (, Theoretical and Computational Fluid Dynamics)
    null (Ed.)
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  5. ; ; (, Journal of Fluid Mechanics)
    null (Ed.)
    The fluid velocity far from a translating body in two-dimensional irrotational flow is generally dipolar. This is a classical result. Here we ask when the dipolar component vanishes. Lamb (1945, § 126) provides symmetry conditions on the virtual mass tensor for this to be the case. We show that these conditions are not necessary and obtain the sufficient and necessary condition in terms of the shape of the body using conformal maps. Some explicit examples are constructed based on this condition. 
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