Abstract
Unsteady two-dimensional flows of incompressible viscoelastic Maxwell medium with upper, low and corotational convective derivatives in the rheological constitutive law are considered. A class of partially invariant solutions is analyzed. Using transition to Lagrangian coordinates, an exact solution of the problem of unsteady flow near free-stagnation point was constructed. For the model with Johnson–Segalman convected derivative and special linear dependence of the vertical component of velocity, the general solutions were derived.
Original language | English |
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Pages (from-to) | 152-157 |
Number of pages | 6 |
Journal | International Journal of Non-Linear Mechanics |
Volume | 105 |
DOIs | |
Publication status | Published - 1 Oct 2018 |
Keywords
- Invariant solution
- Johnson–Segalman convected derivative
- Lagrangian coordinates
- Lie group
- Stagnation point flow
- UCM
- Viscoelastic fluid
- Johnson-Segalman convected derivative
- FLUID
- MODEL
- FLOW