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- W2900913641 abstract "Researches on nonlinear instability of power-law plane sheets have been conducted using the Carreau model as the constitutive model. Combined with asymptotic expansion and long-wave assumption, the governing equations and boundary conditions were manipulated using integral transform. The first-order dimensionless dispersion relation between unstable growth rate and wavenumber was obtained and the second-order interface disturbance amplitude was calculated. By comparison and analysis of components of the second-order interface disturbance amplitude, it was found that the power-law index $n$ ( $n<1$ ) only had an impact on instability of waves with the fundamental wavelength or one third the fundamental wavelength. The findings show that the Carreau-law rheological parameter $B_{p}$ has little impact on the second-order disturbance amplitude at the interfaces in a practical situation, while the Reynolds number has a positive effect on the growth rate of the disturbance amplitude for the power-law liquid sheets. Finally, the growth rates obtained by numerical simulation and analytical solution have been compared, and the results showed good agreement in the initial phase of wave evolution." @default.
- W2900913641 created "2018-11-29" @default.
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- W2900913641 date "2018-11-22" @default.
- W2900913641 modified "2023-09-24" @default.
- W2900913641 title "Nonlinear wave evolution of shear-thinning Carreau liquid sheets" @default.
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- W2900913641 doi "https://doi.org/10.1017/jfm.2018.810" @default.
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