Temporal instability analysis of a confined non-Newtonian liquid jet with heat and mass transfer

Abstract

In this study, the instability behavior of a confined non-Newtonian liquid jet in an annular gas layer is investigated theoretically. The viscosity of the non-Newtonian liquid is described using the power law model, and the corresponding dispersion relation is obtained by conducting a linear stability analysis. Additionally, the effects of heat and mass transfer, gas-to-liquid axial velocity ratio, power law index, and gas layer thickness on the instability of the power law liquid jet are investigated. The results demonstrate that the heat and mass transfer at the liquid–gas interface destabilizes the power law liquid jet flow. The results also indicate that an increase in the thickness of the gas layer makes the confined power law liquid jet unstable. Furthermore, the confined shear-thickening liquid jet is the most difficult to breakup in comparison with the shear-thinning and Newtonian liquid jets.