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- W2022385075 abstract "The Navier-Stokes equations for incompressible and compressible fluids are generalized by inclusion of viscous stress relaxation, as required by kinetic theory. Two initial-boundary-value problems of the nonlinear generalized Navier-Stokes equations are solved analytically, which describe the propagation of transverse or shear waves due to temporal and spatial velocity pulses $stackrel{ensuremath{rightarrow}}{mathrm{v}}(0,t)$ and $stackrel{ensuremath{rightarrow}}{mathrm{v}}(x,0)$, respectively. It is shown that transverse perturbations propagate in the form of a discontinuous wave with a finite wave speed due to viscous stress relaxation, whereas the conventional Navier-Stokes equations result in nonphysical solutions, suggesting a diffusion process covering the entire fluid with infinite speed." @default.
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- W2022385075 date "1980-09-01" @default.
- W2022385075 modified "2023-10-07" @default.
- W2022385075 title "Stress relaxation waves in fluids" @default.
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- W2022385075 doi "https://doi.org/10.1103/physreva.22.1266" @default.
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