Kelvin-Helmholtz Instability (KHI) is a hydrodynamic instability generated by the relative motion of immiscible, irrotational, incompressible, and inviscid fluids. In the present study, the KHI is assessed for Newtonian and non-Newtonian fluids by solving two-dimensional Navier-Stokes equations using the finite volume method. In the case of Newtonian fluids, it was found that for t^*>1.5 the growth rate of KHI depends on the surface tension when the surface tension is in the range of 0.000192-0.000993 N/m. The results demonstrate that the critical wavenumber is enhanced by increasing the power-law index (n) for shear-thinning and shear-thickening non-Newtonian fluids; however, at a specific time, the amount of critical wavenumber for shear-thickening fluids is smaller than that for shear-thinning ones. It is also concluded that as the power-law index increases, the wave stability can be reached more rapidly. When n = 0.2 and σ = 0.004 N/m, the velocity profile is asymmetric, showing that the velocity of the lighter liquid increases significantly at a specific height of the chamber. As the surface tension decreases, the interface velocity profile exhibits symmetrical behavior.
Bayareh, M., Farajzadeh, R. (2022). Numerical study of Kelvin-Helmholtz instability of Newtonian and non-Newtonian fluids. AUT Journal of Mechanical Engineering, 6(2), 7-7. doi: 10.22060/ajme.2021.20382.5996
MLA
Morteza Bayareh; Reyhaneh Farajzadeh. "Numerical study of Kelvin-Helmholtz instability of Newtonian and non-Newtonian fluids". AUT Journal of Mechanical Engineering, 6, 2, 2022, 7-7. doi: 10.22060/ajme.2021.20382.5996
HARVARD
Bayareh, M., Farajzadeh, R. (2022). 'Numerical study of Kelvin-Helmholtz instability of Newtonian and non-Newtonian fluids', AUT Journal of Mechanical Engineering, 6(2), pp. 7-7. doi: 10.22060/ajme.2021.20382.5996
VANCOUVER
Bayareh, M., Farajzadeh, R. Numerical study of Kelvin-Helmholtz instability of Newtonian and non-Newtonian fluids. AUT Journal of Mechanical Engineering, 2022; 6(2): 7-7. doi: 10.22060/ajme.2021.20382.5996