Effect of the thermo-solutal buoyancy on the Poiseuille–Taylor–Couette fluid flow

A numerical analysis is performed for heat and mass diffusive convection generated by radial temperature and concentration gradients across two verticals coaxial rotating cylinders with imposed axial laminar flow. The internal rotating cylinder is brought to a high temperature and concentration, while the outer motionless cylinder is exposed to a cold temperature and low concentration. The D2Q9 model of the lattice Boltzmann model is used to simulate the flow field, while the temperature and concentration fields are computed by the D2Q4 model. It has been shown that when the Reynolds number is in the range of [6–10], we note an increase in the wavy flow structure in the duct, and Taylor cells disappear in the annulus. For fixed high values of Ra in the range of [300–500], different flow regimes are observed. So, by increasing the Rayleigh number again (Ra > 550), the flow is a basic thermo-solutal convective flow symbolized by a large double-convective cell installed throughout the domain.