Influence of vibrations on thermodiffusion in binary mixture: A benchmark of numerical solutions

Abstract

Double-diffusive and vibrational convection with the Soret effect is considered in a cubic rigid cell filled with water ͑90%͒ and isopropanol ͑10%͒, subjected to a temperature difference between opposite lateral walls. Numerical simulations are carried out for g-jitter induced flow. The direction of g-jitter is the same as the residual gravity vector, which is perpendicular to the applied temperature gradient. Along with various combinations of static and oscillatory components, vibrations with two different frequencies are examined: ͑a͒ when the period of oscillations is smaller than any characteristic time ͑viscous, thermal, and diffusion͒, f = 0.2 Hz; ͑b͒ when the period of oscillations is comparable with viscous time, f = 0.01 Hz. Component separation due to the Soret effect under these driving actions is analyzed. The concept of time-averaged models is applied for the explanation of the high-frequency results. The interplay between the mean and fluctuating motions is discussed. Three research groups performed a benchmark of numerical solutions of three-dimensional Navier-Stokes, energy, and concentration equations using the true physical parameters for a future Space experiment. The objective of this paper is twofold: ͑i͒ to carry out an accurate study of heat and mass transfer in a binary liquid with the Soret effect in the presence of steady residual gravity and its oscillatory component; ͑ii͒ to carry out a benchmark of numerical solutions.

Experimental and theoretical study of vibration-induced thermal convection in low gravity

“…The influence of vibrations on the stability of a horizontal, binary-mixture layer with the Soret effect was investigated by Gershuni et al (1997). Shevtsova et al (2007) studied the impact of vibration on thermal diffusion separation of binary mixture in a cubic cavity.…”

Experimental Evidence of Thermal Vibrational Convection in a Nonuniformly Heated Fluid in a Reduced Gravity Environment

“…Thermovibrational convection in square, rectangular, and cubic cavities was widely investigated providing a variety of mean flow structures and bifurcation scenarios [5][6][7][8]. Influence of vibration on double diffusive convection with the Soret effect was analyzed in [9].…”

Thermovibrational Convection in Microgravity: Preparation of a Parabolic Flight Experiment

“…These experiments constitute a preliminary and complementary step of the space experiment Influence of VIbrations on DIffusion in Liquids (IVIDIL), which is performed in the frame of ESA Physical Sciences project and aimed at examining the influence of vibration stimuli on diffusive phenomena (Shevtsova et al 2007). The main goals of the parabolic flight experiments are: 1) to observe and interpret the thermovibrational convection in microgravity 2) to improve the experimental technique originally developed for IVIDIL and verify it in microgravity conditions 3) to make an experimental verification of existing theoretical results.…”