|
|
Publications
Hallak, T.S., Sutulo, S. and Guedes Soares, C. (2024), Energy of acceleration of a perfect unbounded fluid surrounding an arbitrary moving rigid body, Meccanica, Vol. 59, pp. 849-858
This paper introduces the Gibbs-Appell formalism into fluids. It devises the energy of acceleration of a perfect fluid surrounding a moving impermeable rigid body and the hydrodynamic forces acting on the body. The fluid is considered infinite, and the rigid body may have any closed tridimensional form. Therefore, the velocity field is non-divergent and irrotational; the density field is homogeneous in space and non-dependent on time, and all viscous effects are neglected. Under these assumptions, an explicit formulation for the hydrodynamic forces acting on the body is known as a-priori, and it is recovered in this text following an approach based on generalized quasi-velocities and the Gibss-Appell formalism, that may handle a vaster class of mechanical problems in comparison to Newtonian mechanics, especially non-holonomic constrained systems. The devised formulation is applied to the case study of an infinite cylinder in unsteady rectilinear motion: the analytical forms for the generalized hydrodynamic forces acting on the infinite cylinder are evaluated, as well as the explicit formulae for the hydrodynamic coefficients of the body and the total energy of acceleration of the surrounding fluid.
If you did not manage to obtain a copy of this paper: Request a copy of this article
For information about all CENTEC publications you can download: Download the Complete List of CENTEC Publications
|