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.
- Invariant solution
- Johnson–Segalman convected derivative
- Lagrangian coordinates
- Lie group
- Stagnation point flow
- Viscoelastic fluid
- Johnson-Segalman convected derivative