Thermo-electro-hydrodynamic instabilities in a dielectric liquid under microgravity

Satish Malik (1) , Harunori Yoshikawa (1) , Olivier Crumeyrolle (1) , Innocent Mutabazi (1)

1 LOMC - Laboratoire Ondes et Milieux Complexes

Linear stability analysis of a dielectric fluid confined in a cylindrical annulus of infinite length is performed under microgravity conditions. A radial temperature gradient and a high alternating electric field imposed over the gap induce an effective gravity that can lead to a thermal convection even in the absence of the terrestrial gravity. The linearized governing equations are discretized using a spectral collocation method on Chebyshev polynomials to compute marginal stability curves and the critical parameters of instability. The critical parameters are independent of the Prandtl number, but they depend on the curvature of the system. The critical modes are non-axisymmetric and are made of stationary helices.

Mots clés: Flow instabilities; Thermal convection; Electrohydrodynamics; Microgravity

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Electromagnétisme

Satish Malik, Harunori Yoshikawa, Olivier Crumeyrolle, Innocent Mutabazi. Thermo-electro-hydrodynamic instabilities in a dielectric liquid under microgravity. Acta Astronautica, 2012, 81, pp.563-569. ⟨10.1016/j.actaastro.2012.06.023⟩. ⟨hal-00906503⟩