Estimation of the Decay of Perturbations Imposed on an Accelerating Viscoplastic Couette Flow
- 11 Downloads
In this study, an unsteady one-dimensional shear in a flat layer of a viscoplastic medium is chosen as the main flow for which there are no hard layers in the transverse direction. Such a velocity profile is implemented, for example, in the Couette flow accelerating under the action of the acceleration of one of the boundaries. On the basis of the integral-equation method, the integral estimates of the exponential decay of the initial perturbations are derived with the H2 space metrics.
Unable to display preview. Download preview PDF.
- 1.O. R. Kozyrev and Yu. A. Stepanyants, in Results of Science and Technology. Ser. Mechanics of Fluid and Gas (VINITI, Moscow, 1991), Vol. 25, pp. 3–89 [in Russian].Google Scholar
- 2.D. V. Georgievskii, Stability of Deformation Processes in Viscoplastic Solids (URSS, Moscow, 1998) [in Russian].Google Scholar
- 5.D. V. Georgievskii, Priklad. Matemat. i Mat. Fizika 1 (1), 147 (2015).Google Scholar
- 7.D. V. Georgievskii, Prikl. Mat. Mekh. 74 (4), 633 (2010).Google Scholar