Nonlinear fluid slosh coupled to the dynamics of a spacecraft

Low-Gravity Propellant Slosh Analysis Using Spherical Coordinates

“…Studies on low-gravity sloshing have been conducted for a cylindrical container (Satterlee & Reynolds 1964;Dodge & Garza 1967;Tong 1967;Bauer & Siekmann 1971;Peterson et al 1989) and for an arbitrary axisymmetrical container (Yeh 1967;Concus et al 1969;Chu 1970;Dodge & Garza 1970;Dodge et al 1991;Hung & Lee 1992). For an arbitrary axisymmetrical container, these previous studies did not develop any analytical expressions for the characteristic functions constituting the modal functions of the velocity potential and the liquid surface displacement.…”

A primitive variable, strongly implicit calculation procedure for two and three-dimensional unsteady viscous flows: applications to compressible and incompressible flows including flows with free surfaces

“…Liquid sloshing occurs in many important practical applica tions such as in oil tankers, railroad tank cars, missiles, satellites and spacecraft [32], [33], [34]. The major concern about the liquid sloshing motion within a container is that a substantial periodic force may be generated by this motion which may affect the stability of the moving vehicle.…”

Computation of the equilibrium position of a liquid with surface tension inside a tank of complex geometry and extension to sloshing dynamic cases

“…We refer to the NASA famous synthesis written by Abramson and its collaborators [1] (see also the updated version by Dodge [2]) and the references [3][4][5][6][7], the pioneering book by Moïseyev and Rumyantsev [8] followed in the eighties by various authors from academia and industry [9,10]. More recently, various specialized space missions were carried out for the purpose of microgravity sloshing studies, as NASA investigation [11] and programs like LOWGSLOSH and in Europe the launch of the satellite SloshSat Facility for Liquid Experimentation and Verification in Orbit (FLEVO) [12], whose objective is to validate numerical simulations of liquids in microgravity.…”