T he environment for satellites and spacecraft in space is markedly different from the terrestrial situation. Apart from the high vacuum, low temperature and intense external radiation environment, gravitational effects are absent. A wide variety of fundamental processes involving fluids and living systems are drastically affected; one of the major reasons being the absence of buoyancy flows (Fig. 1) One way to improve the management of fluids and that of life support systems would be to create an "artificial" gravity. Classically, an artificial gravity can be produced in space in two ways. A centrifugal force, created by spinning the spacecraft or space station, can be used. However, large Coriolis forces are also present and everything would fall in curves instead of straight lines. One can also linearly accelerate the spaceships, but this cannot be continued over long periods because of the enormous energy costs. Less known would be the possibility to produce a uniform force field as coming from a magnetic field gradient, but here also the cost in energy is very high. (However, this solution can be advantageously used to compensate gravity on Earth as described below, see Box above fig. 4).
Fluids and vibrationsIf we narrow our focus to fluid systems and to some extent to living organisms, vibrations provide another possible means of reproducing some of the effects of gravity. First of all, large amplitude (with respect to the system size), low frequency (with respect to the system time response) vibration gives a periodic acceleration -and then a periodic artificial gravity -to any entity. In order to illustrate this fact by an example, Fig. 2a shows a sample of supercritical fluid CO2 heated on Earth by a point source (a thermistor). It results in the convection of the less dense hot fluid parallel to gravity and an accumulation of hot fluid at the top, with a hot-cold interface perpendicular to gravity. The same phenomenon in space conditions and under vibration gives a similar convection pattern that is symmetrical with respect to the direction of vibration (Fig.2b).At small amplitude and high frequency, the situation is more complex and, at the same time, more interesting. In addition to local vibrations of the fluid, average flows are created. These flows are of inertial origin; they are connected to the nonlinear response of the fluid to the vibration and are initiated because of the existence of density inhomogeneities ∆ρ. Average flows can also originate in the viscous hydrodynamic boundary layers at the cell walls or inclusions from where they propagate to the whole sample.When submitted to a simple harmonic linear vibration X = acosωt, a density inhomogeneity ∆ρ in a fluid of mean density ρ can thus acquire a velocity difference ∆V = (∆ρ/ρ)aω. Contrary to the effect of vibrations of large amplitude and low frequency that direct inhomogeneities parallel to the direction of vibration, the low amplitude and high frequency vibration induces, in general, mean flows perpendicular to the vibration directi...