Temnov

pp. 85-101

pp. 82-92

pp. 141-160

pp. 426-439

Relevance of this work is associated with the problem caused by ever-increasing usage of cryogenic fluids in the space rocket technology. Further exploration of space is impossible without creation of orbital cryogenic gas stations. A distinctive feature of all cryogenic liquids is a non-uniform distribution of density and temperature observed during all modes of operation and storage. A suitable model for studying motion of a mechanical system is a heterogeneous incompressible fluid. In this work interaction between a heterogeneous incompressible fluid and a movable rigid body’s cavity was discussed. Cases in which motion of a rigid body is caused by the action of momentary forces or cases of abrupt movement were considered. The authors proposed a concept of quasi-potential of fluid velocities was introduced; solution to the problem of motion of a rigid body with a cylindrical cavity partially or completely filled with a cryogenic liquid.

A problem of fluid oscillations in tanks of space launch vehicles is quite well known and has been investigated extensively during the last decades. This is caused by the fact that the major mass of a liquid-propellant rocket is fluid and its forced motion affects vehicle controllability significantly. In their recent works the authors considered small oscillations in tanks with a propellant intake and with fuel reallocation inside a vehicle. Such problems have arisen due to the purpose of increasing efficiency and output performance of multistage cluster rockets by central stage fueling from side stages of a cluster. The problem of propellant free oscillations in cylindrical and conical tanks was considered, and solutions were presented with boundary conditions on a free surface and the surface of intake that, figuratively speaking, provides resistance to the fluid descent. Eigen-frequencies and Eigen-values of perturbed motion equations with dissipation on boundary surfaces were found. It was shown that slow fluid decent and intake surface boundary conditions may affect both oscillating and damped terms of the solution.